Mohanasubha, R.; Senthilvelan, M. A class of new solvable nonlinear isochronous systems and their classical dynamics. (English) Zbl 1515.34004 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 40, 15 p. (2023). MSC: 34A05 34C15 PDFBibTeX XMLCite \textit{R. Mohanasubha} and \textit{M. Senthilvelan}, Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 40, 15 p. (2023; Zbl 1515.34004) Full Text: DOI
Barnes, L. E.; Hone, A. N. W.; Senthilvelan, M.; Stalin, S. Similarity reductions of peakon equations: integrable cubic equations. (English) Zbl 1511.35088 J. Phys. A, Math. Theor. 55, No. 42, Article ID 424002, 45 p. (2022). MSC: 35G25 37K10 PDFBibTeX XMLCite \textit{L. E. Barnes} et al., J. Phys. A, Math. Theor. 55, No. 42, Article ID 424002, 45 p. (2022; Zbl 1511.35088) Full Text: DOI arXiv
Monisha, S.; Vishnu Priya, N.; Senthilvelan, M.; Rajasekar, S. Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. (English) Zbl 1506.35211 Chaos Solitons Fractals 162, Article ID 112433, 12 p. (2022). MSC: 35Q55 35C08 37K35 PDFBibTeX XMLCite \textit{S. Monisha} et al., Chaos Solitons Fractals 162, Article ID 112433, 12 p. (2022; Zbl 1506.35211) Full Text: DOI arXiv
Sudharsan, S.; Venkatesan, A.; Muruganandam, P.; Senthilvelan, M. Suppression of extreme events and chaos in a velocity-dependent potential system with time-delay feedback. (English) Zbl 1504.93167 Chaos Solitons Fractals 161, Article ID 112321, 13 p. (2022). MSC: 93C10 93B52 93C43 PDFBibTeX XMLCite \textit{S. Sudharsan} et al., Chaos Solitons Fractals 161, Article ID 112321, 13 p. (2022; Zbl 1504.93167) Full Text: DOI arXiv
Manikandan, K.; Vishnu Priya, N.; Senthilvelan, M.; Sankaranarayanan, R. Higher-order matter rogue waves and their deformations in two-component Bose-Einstein condensates. (English) Zbl 1501.76004 Waves Random Complex Media 32, No. 2, 867-886 (2022). MSC: 76A25 35Q55 PDFBibTeX XMLCite \textit{K. Manikandan} et al., Waves Random Complex Media 32, No. 2, 867--886 (2022; Zbl 1501.76004) Full Text: DOI
Sinthuja, N.; Manikandan, K.; Senthilvelan, M. Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation. (English) Zbl 07412670 Phys. Lett., A 415, Article ID 127640, 13 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{N. Sinthuja} et al., Phys. Lett., A 415, Article ID 127640, 13 p. (2021; Zbl 07412670) Full Text: DOI arXiv
Muruganandam, P.; Senthilvelan, M. Manifestation of strange nonchaotic attractors in extended systems: A study through out-of-time-ordered correlators. arXiv:2109.07412 Preprint, arXiv:2109.07412 [cond-mat.stat-mech] (2021). BibTeX Cite \textit{P. Muruganandam} and \textit{M. Senthilvelan}, ``Manifestation of strange nonchaotic attractors in extended systems: A study through out-of-time-ordered correlators'', Preprint, arXiv:2109.07412 [cond-mat.stat-mech] (2021) Full Text: DOI arXiv OA License
Sudharsan, S.; Venkatesan, A.; Senthilvelan, M. Constant Bias and Weak Second Periodic Forcing : Tools to Mitigate Extreme Events. arXiv:2108.07696 Preprint, arXiv:2108.07696 [math.DS] (2021). BibTeX Cite \textit{S. Sudharsan} et al., ``Constant Bias and Weak Second Periodic Forcing : Tools to Mitigate Extreme Events'', Preprint, arXiv:2108.07696 [math.DS] (2021) Full Text: arXiv OA License
Chandrasekar, V. K.; Tiwari, A. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M. Response to “Comment on ‘Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot x + f(x)\dot x^2 + g(x) = 0\)”’. (English) Zbl 1447.34038 J. Math. Phys. 61, No. 4, 044102, 3 p. (2020). MSC: 34C14 34A34 34C20 34A05 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Math. Phys. 61, No. 4, 044102, 3 p. (2020; Zbl 1447.34038) Full Text: DOI
Stalin, S.; Senthilvelan, M.; Lakshmanan, M. Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I symmetry preserving and symmetry breaking solutions. (English) Zbl 1439.35447 Nonlinear Dyn. 95, No. 1, 343-360 (2019). MSC: 35Q55 35C08 35B06 PDFBibTeX XMLCite \textit{S. Stalin} et al., Nonlinear Dyn. 95, No. 1, 343--360 (2019; Zbl 1439.35447) Full Text: DOI arXiv
Stalin, S.; Senthilvelan, M.; Lakshmanan, M. Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system. (English) Zbl 1432.37092 Nonlinear Dyn. 95, No. 3, 1767-1780 (2019). MSC: 37K40 35C08 35Q51 35Q55 PDFBibTeX XMLCite \textit{S. Stalin} et al., Nonlinear Dyn. 95, No. 3, 1767--1780 (2019; Zbl 1432.37092) Full Text: DOI
Vishnu Priya, N.; Senthilvelan, M.; Rangarajan, Govindan On the role of four-wave mixing effect in the interactions between nonlinear modes of coupled generalized nonlinear Schrödinger equation. (English) Zbl 1429.35181 Chaos 29, No. 12, 123135, 14 p. (2019). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{N. Vishnu Priya} et al., Chaos 29, No. 12, 123135, 14 p. (2019; Zbl 1429.35181) Full Text: DOI
Vishnu Priya, N.; Senthilvelan, M.; Rangarajan, Govindan; Lakshmanan, M. On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrödinger equation. (English) Zbl 1404.35422 Phys. Lett., A 383, No. 1, 15-26 (2019). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{N. Vishnu Priya} et al., Phys. Lett., A 383, No. 1, 15--26 (2019; Zbl 1404.35422) Full Text: DOI arXiv
Manikandan, Kannan; Stalin, Seenimuthu; Senthilvelan, Murugaian Dynamical behaviour of solitons in a \(\mathcal{P} \mathcal{T} \)-invariant nonlocal nonlinear Schrödinger equation with distributed coefficients. (English) Zbl 1515.35255 Eur. Phys. J. B, Condens. Matter Complex Syst. 91, No. 11, Paper No. 291, 11 p. (2018). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{K. Manikandan} et al., Eur. Phys. J. B, Condens. Matter Complex Syst. 91, No. 11, Paper No. 291, 11 p. (2018; Zbl 1515.35255) Full Text: DOI
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the interconnections between various analytic approaches in coupled first-order nonlinear differential equations. (English) Zbl 1470.34102 Commun. Nonlinear Sci. Numer. Simul. 62, 213-228 (2018). MSC: 34C14 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Commun. Nonlinear Sci. Numer. Simul. 62, 213--228 (2018; Zbl 1470.34102) Full Text: DOI
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the symmetries of a Liénard type nonlinear oscillator equation. (English) Zbl 1419.34116 Kac, Victor G. (ed.) et al., Symmetries, differential equations and applications. SDEA-III, Istanbul, Turkey, August 14–17, 2017. Selected papers based on the presentations at the conference. Cham: Springer. Springer Proc. Math. Stat. 266, 75-103 (2018). MSC: 34C14 34C15 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Springer Proc. Math. Stat. 266, 75--103 (2018; Zbl 1419.34116) Full Text: DOI
Manikandan, K.; Vishnu Priya, N.; Senthilvelan, M.; Sankaranarayanan, R. Deformation of dark solitons in a \(\mathcal{P} \mathcal{T}\)-invariant variable coefficients nonlocal nonlinear Schrödinger equation. (English) Zbl 1396.35057 Chaos 28, No. 8, 083103, 12 p. (2018). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{K. Manikandan} et al., Chaos 28, No. 8, 083103, 12 p. (2018; Zbl 1396.35057) Full Text: DOI
Karthiga, S.; Chithiika Ruby, V.; Senthilvelan, M. An inclusive SUSY approach to position dependent mass systems. (English) Zbl 1396.81200 Phys. Lett., A 382, No. 25, 1645-1650 (2018). MSC: 81T60 81Q60 PDFBibTeX XMLCite \textit{S. Karthiga} et al., Phys. Lett., A 382, No. 25, 1645--1650 (2018; Zbl 1396.81200) Full Text: DOI
Premalatha, K.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Stable amplitude Chimera states in a network of locally coupled Stuart-Landau oscillators. (English) Zbl 1390.34148 Chaos 28, No. 3, 033110, 13 p. (2018). MSC: 34C60 34C15 34D06 34D20 PDFBibTeX XMLCite \textit{K. Premalatha} et al., Chaos 28, No. 3, 033110, 13 p. (2018; Zbl 1390.34148) Full Text: DOI arXiv
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M. A note on deriving linearizing transformations for a class of second order nonlinear ordinary differential equations. (English) Zbl 1380.34058 Nonlinear Anal., Real World Appl. 39, 202-212 (2018). MSC: 34C20 34A05 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Nonlinear Anal., Real World Appl. 39, 202--212 (2018; Zbl 1380.34058) Full Text: DOI arXiv
Stalin, S.; Senthilvelan, M.; Lakshmanan, M. Nonstandard bilinearization of \(\mathcal{PT}\)-invariant nonlocal nonlinear Schrödinger equation: bright soliton solutions. (English) Zbl 1378.35074 Phys. Lett., A 381, No. 30, 2380-2385 (2017). MSC: 35C08 81Q65 35Q55 PDFBibTeX XMLCite \textit{S. Stalin} et al., Phys. Lett., A 381, No. 30, 2380--2385 (2017; Zbl 1378.35074) Full Text: DOI arXiv
Karthiga, S.; Chithiika Ruby, V.; Senthilvelan, M.; Lakshmanan, M. Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator. (English) Zbl 1373.81201 J. Math. Phys. 58, No. 10, 102110, 14 p. (2017). MSC: 81Q05 81Q80 35Q41 81Q10 81Q12 33C55 42C10 PDFBibTeX XMLCite \textit{S. Karthiga} et al., J. Math. Phys. 58, No. 10, 102110, 14 p. (2017; Zbl 1373.81201) Full Text: DOI arXiv
Vishnu Priya, N.; Senthilvelan, M. N-bright-bright and N-dark-dark solitons of the coupled generalized nonlinear Schrödinger equations. (English) Zbl 1470.35340 Commun. Nonlinear Sci. Numer. Simul. 36, 366-377 (2016). MSC: 35Q55 35C08 37K40 PDFBibTeX XMLCite \textit{N. Vishnu Priya} and \textit{M. Senthilvelan}, Commun. Nonlinear Sci. Numer. Simul. 36, 366--377 (2016; Zbl 1470.35340) Full Text: DOI
Gladwin Pradeep, R.; Chandrasekar, V. K.; Mohanasubha, R.; Senthilvelan, M.; Lakshmanan, M. Order preserving contact transformations and dynamical symmetries of scalar and coupled Riccati and Abel chains. (English) Zbl 1470.34110 Commun. Nonlinear Sci. Numer. Simul. 36, 303-318 (2016). MSC: 34C20 34A05 37J06 PDFBibTeX XMLCite \textit{R. Gladwin Pradeep} et al., Commun. Nonlinear Sci. Numer. Simul. 36, 303--318 (2016; Zbl 1470.34110) Full Text: DOI arXiv
Manikandan, K.; Senthilvelan, M. An analysis of spatiotemporal localized solutions in the variable coefficients \((3 + 1)\)-dimensional nonlinear Schrödinger equation with six different forms of dispersion parameters. (English) Zbl 1375.35502 Chaos 26, No. 7, 073116, 16 p. (2016). MSC: 35Q55 PDFBibTeX XMLCite \textit{K. Manikandan} and \textit{M. Senthilvelan}, Chaos 26, No. 7, 073116, 16 p. (2016; Zbl 1375.35502) Full Text: DOI arXiv
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Interplay of symmetries and other integrability quantifiers in finite-dimensional integrable nonlinear dynamical systems. (English) Zbl 1371.34047 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 472, No. 2190, Article ID 20150847, 21 p. (2016). MSC: 34C14 37J15 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 472, No. 2190, Article ID 20150847, 21 p. (2016; Zbl 1371.34047) Full Text: DOI arXiv
Tiwari, Ajey K.; Pandey, S. N.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. The inverse problem of a mixed Liénard-type nonlinear oscillator equation from symmetry perspective. (English) Zbl 1358.70022 Acta Mech. 227, No. 7, 2039-2051 (2016). MSC: 70H03 70H05 34A55 34C14 37J15 PDFBibTeX XMLCite \textit{A. K. Tiwari} et al., Acta Mech. 227, No. 7, 2039--2051 (2016; Zbl 1358.70022) Full Text: DOI arXiv
Ananth, N.; Senthilvelan, M. On the non-\(k\)-separability of Dicke class of states and \(N\)-qudit W states. (English) Zbl 1338.81037 Int. J. Theor. Phys. 55, No. 3, 1854-1870 (2016). MSC: 81P40 PDFBibTeX XMLCite \textit{N. Ananth} and \textit{M. Senthilvelan}, Int. J. Theor. Phys. 55, No. 3, 1854--1870 (2016; Zbl 1338.81037) Full Text: DOI arXiv
Vishnu Priya, N.; Senthilvelan, M. On the characterization of breather and rogue wave solutions and modulation instability of a coupled generalized nonlinear Schrödinger equations. (English) Zbl 1454.35353 Wave Motion 54, 125-133 (2015). MSC: 35Q55 35B35 76E99 PDFBibTeX XMLCite \textit{N. Vishnu Priya} and \textit{M. Senthilvelan}, Wave Motion 54, 125--133 (2015; Zbl 1454.35353) Full Text: DOI arXiv
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Interconnections between various analytic approaches applicable to third-order nonlinear differential equations. (English) Zbl 1371.34046 Proc. A, R. Soc. Lond. 471, No. 2176, Article ID 20140720, 18 p. (2015). MSC: 34C14 34C20 37C10 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Proc. A, R. Soc. Lond. 471, No. 2176, Article ID 20140720, 18 p. (2015; Zbl 1371.34046) Full Text: DOI arXiv
Tiwari, Ajey K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M. Lie point symmetries classification of the mixed Liénard-type equation. (English) Zbl 1437.34039 Nonlinear Dyn. 82, No. 4, 1953-1968 (2015). MSC: 34C14 PDFBibTeX XMLCite \textit{A. K. Tiwari} et al., Nonlinear Dyn. 82, No. 4, 1953--1968 (2015; Zbl 1437.34039) Full Text: DOI arXiv
Ananth, N.; Chandrasekar, V. K.; Senthilvelan, M. On the separability criterion of bipartite states with certain non-Hermitian operators. (English) Zbl 1330.81040 Int. J. Theor. Phys. 54, No. 8, 2632-2643 (2015). MSC: 81P40 81Q12 PDFBibTeX XMLCite \textit{N. Ananth} et al., Int. J. Theor. Phys. 54, No. 8, 2632--2643 (2015; Zbl 1330.81040) Full Text: DOI arXiv
Chithiika Ruby, V.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators. (English) Zbl 1308.81074 J. Math. Phys. 56, No. 1, 012103, 20 p. (2015). Reviewer: Josipa Pina Milisic (Zagreb) MSC: 81Q05 81Q10 81Q12 81U15 35Q55 37K10 37K15 PDFBibTeX XMLCite \textit{V. Chithiika Ruby} et al., J. Math. Phys. 56, No. 1, 012103, 20 p. (2015; Zbl 1308.81074) Full Text: DOI arXiv
Vishnu Priya, N.; Senthilvelan, M. Generalized Darboux transformation and \(N\)th order rogue wave solution of a general coupled nonlinear Schrödinger equations. (English) Zbl 1334.37084 Commun. Nonlinear Sci. Numer. Simul. 20, No. 2, 401-420 (2015). MSC: 37K10 35Q55 35C08 37M05 PDFBibTeX XMLCite \textit{N. Vishnu Priya} and \textit{M. Senthilvelan}, Commun. Nonlinear Sci. Numer. Simul. 20, No. 2, 401--420 (2015; Zbl 1334.37084) Full Text: DOI arXiv
Senthilvelan, M.; Chandrasekar, V. K.; Mohanasubha, R. Symmetries of nonlinear ordinary differential equations: the modified Emden equation as a case study. arXiv:1502.03984 Preprint, arXiv:1502.03984 [nlin.SI] (2015). BibTeX Cite \textit{M. Senthilvelan} et al., ``Symmetries of nonlinear ordinary differential equations: the modified Emden equation as a case study'', Preprint, arXiv:1502.03984 [nlin.SI] (2015) Full Text: DOI arXiv OA License
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On certain analytical methods in finding integrable systems and their interconnections. arXiv:1502.03914 Preprint, arXiv:1502.03914 [nlin.SI] (2015). BibTeX Cite \textit{R. Mohanasubha} et al., ``On certain analytical methods in finding integrable systems and their interconnections'', Preprint, arXiv:1502.03914 [nlin.SI] (2015) Full Text: arXiv OA License
Mohanasubha, R.; Sabiya Shakila, M. I.; Senthilvelan, M. On the linearization of isochronous centre of a modified Emden equation with linear external forcing. (English) Zbl 1457.34048 Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 799-806 (2014). MSC: 34C05 34C20 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 799--806 (2014; Zbl 1457.34048) Full Text: DOI arXiv
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations. (English) Zbl 1359.34004 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2163, Article ID 20130656, 20 p. (2014). Reviewer: Maite Grau (Lleida) MSC: 34A05 34C14 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2163, Article ID 20130656, 20 p. (2014; Zbl 1359.34004) Full Text: DOI arXiv
Ruby, V. Chithiika; Senthilvelan, M. Photon modulated coherent states of a generalized isotonic oscillator by Weyl ordering and their non-classical properties. (English) Zbl 1308.81112 Int. J. Theor. Phys. 53, No. 12, 4338-4350 (2014). MSC: 81R30 81V80 PDFBibTeX XMLCite \textit{V. C. Ruby} and \textit{M. Senthilvelan}, Int. J. Theor. Phys. 53, No. 12, 4338--4350 (2014; Zbl 1308.81112) Full Text: DOI arXiv
Tiwari, Ajey K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M. Erratum: “Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot{x}+f(x)\dot{x}^2+g(x)=0\)”. (English) Zbl 1318.34052 J. Math. Phys. 55, No. 5, 059901, 2 p. (2014). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C14 34A34 PDFBibTeX XMLCite \textit{A. K. Tiwari} et al., J. Math. Phys. 55, No. 5, 059901, 2 p. (2014; Zbl 1318.34052) Full Text: DOI
Gordoa, P. R.; Pickering, A.; Senthilvelan, M. The Prelle-Singer method and Painlevé hierarchies. (English) Zbl 1305.37036 J. Math. Phys. 55, No. 5, 053510, 10 p. (2014). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37K10 34M55 PDFBibTeX XMLCite \textit{P. R. Gordoa} et al., J. Math. Phys. 55, No. 5, 053510, 10 p. (2014; Zbl 1305.37036) Full Text: DOI arXiv
Ruby, V. Chithiika; Muruganandam, P.; Senthilvelan, M. Nonlinear time evolution of coherent states with observation of super revivals in a generalized isotonic oscillator. (English) Zbl 1291.81144 Int. J. Geom. Methods Mod. Phys. 11, No. 4, Article ID 1450027, 17 p. (2014). MSC: 81Q05 81R30 81V80 81Q10 PDFBibTeX XMLCite \textit{V. C. Ruby} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 4, Article ID 1450027, 17 p. (2014; Zbl 1291.81144) Full Text: DOI
Mohanasubha, R.; Sheeba, Jane H.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. A nonlocal connection between certain linear and nonlinear ordinary differential equations. II: Complex nonlinear oscillators. (English) Zbl 1334.34085 Appl. Math. Comput. 224, 593-602 (2013). MSC: 34C15 PDFBibTeX XMLCite \textit{R. Mohanasubha} et al., Appl. Math. Comput. 224, 593--602 (2013; Zbl 1334.34085) Full Text: DOI arXiv
Tiwari, Ajey K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M. Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot{x}+f(x)\dot{x}^2+g(x)=0\). (English) Zbl 1295.34049 J. Math. Phys. 54, No. 5, 053506, 19 p. (2013); erratum ibid. 55, No. 5, 059901, 2 p. (2014). Reviewer: Jinzhi Lei (Beijing) MSC: 34C14 34A34 34C20 PDFBibTeX XMLCite \textit{A. K. Tiwari} et al., J. Math. Phys. 54, No. 5, 053506, 19 p. (2013; Zbl 1295.34049) Full Text: DOI arXiv
Kraenkel, R. A.; Manikandan, K.; Senthilvelan, M. On certain new exact solutions of a diffusive predator-prey system. (English) Zbl 1261.35143 Commun. Nonlinear Sci. Numer. Simul. 18, No. 5, 1269-1274 (2013). MSC: 35Q92 35K57 92D25 PDFBibTeX XMLCite \textit{R. A. Kraenkel} et al., Commun. Nonlinear Sci. Numer. Simul. 18, No. 5, 1269--1274 (2013; Zbl 1261.35143) Full Text: DOI arXiv
Priya, N. Vishnu; Senthilvelan, M.; Lakshmanan, M. Akhmediev breathers, Ma solitons and general breathers from rogue waves: A case study in Manakov system. arXiv:1308.5565 Preprint, arXiv:1308.5565 [nlin.PS] (2013). BibTeX Cite \textit{N. V. Priya} et al., ``Akhmediev breathers, Ma solitons and general breathers from rogue waves: A case study in Manakov system'', Preprint, arXiv:1308.5565 [nlin.PS] (2013) Full Text: DOI arXiv OA License
Ruby, V. Chithiika; Senthilvelan, M. An observation of quadratic algebra, dual family of nonlinear coherent states and their non-classical properties, in the generalized isotonic oscillator. (English) Zbl 1278.81070 J. Math. Phys. 53, No. 8, 082102, 16 p. (2012). MSC: 81Q05 81R30 81R15 81S30 PDFBibTeX XMLCite \textit{V. C. Ruby} and \textit{M. Senthilvelan}, J. Math. Phys. 53, No. 8, 082102, 16 p. (2012; Zbl 1278.81070) Full Text: DOI arXiv
Bhuvaneswari, A.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the complete integrability of a nonlinear oscillator from group theoretical perspective. (English) Zbl 1276.81050 J. Math. Phys. 53, No. 7, 073504, 9 p. (2012). MSC: 81Q05 35Q55 81R12 81T10 70H03 70H06 PDFBibTeX XMLCite \textit{A. Bhuvaneswari} et al., J. Math. Phys. 53, No. 7, 073504, 9 p. (2012; Zbl 1276.81050) Full Text: DOI arXiv
Bruzon, M. S.; Gandarias, M. L.; Senthilvelan, M. Nonlocal symmetries of Riccati and Abel chains and their similarity reductions. (English) Zbl 1274.34020 J. Math. Phys. 53, No. 2, 023512, 8 p. (2012). MSC: 34A34 34C14 34N05 PDFBibTeX XMLCite \textit{M. S. Bruzon} et al., J. Math. Phys. 53, No. 2, 023512, 8 p. (2012; Zbl 1274.34020) Full Text: DOI arXiv
Stalin, S.; Senthilvelan, M. Multi-loop soliton solutions and their interaction in the Degasperis-Procesi equation. (English) Zbl 1298.37058 Phys. Scr. 86, No. 1, Article ID 015006, 7 p. (2012). MSC: 37K10 35C08 PDFBibTeX XMLCite \textit{S. Stalin} and \textit{M. Senthilvelan}, Phys. Scr. 86, No. 1, Article ID 015006, 7 p. (2012; Zbl 1298.37058) Full Text: DOI arXiv
Ruby, V. Chithiika; Karthiga, S.; Senthilvelan, M. Ladder operators and squeezed coherent states of a three-dimensional generalized isotonic nonlinear oscillator. (English) Zbl 1275.81052 J. Phys. A, Math. Theor. 45, No. 45, Article ID 025305, 27 p. (2012). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 81R30 81R12 81Q05 81Q80 81S30 81R15 PDFBibTeX XMLCite \textit{V. C. Ruby} et al., J. Phys. A, Math. Theor. 45, No. 45, Article ID 025305, 27 p. (2012; Zbl 1275.81052) Full Text: DOI arXiv
Ruby, V. Chithiika; Senthilvelan, M.; Lakshmanan, M. Exact quantization of a PT-symmetric (reversible) Liénard-type nonlinear oscillator. (English) Zbl 1252.81055 J. Phys. A, Math. Theor. 45, No. 38, Article ID 382002, 10 p. (2012). MSC: 81Q05 81S05 81Q20 81R05 PDFBibTeX XMLCite \textit{V. C. Ruby} et al., J. Phys. A, Math. Theor. 45, No. 38, Article ID 382002, 10 p. (2012; Zbl 1252.81055) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. A systematic method of finding linearizing transformations for nonlinear ordinary differential equations. II: Extension to coupled ODEs. (English) Zbl 1255.34039 J. Nonlinear Math. Phys. 19, No. 2, 1250013, 23 p. (2012). Reviewer: Oleg V. Makeev (Ulyanovsk) MSC: 34C20 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Nonlinear Math. Phys. 19, No. 2, 1250013, 23 p. (2012; Zbl 1255.34039) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. A systematic method of finding linearizing transformations for nonlinear ordinary differential equations. I: Scalar case. (English) Zbl 1255.34038 J. Nonlinear Math. Phys. 19, No. 2, 1250012, 21 p. (2012). Reviewer: Oleg V. Makeev (Ulyanovsk) MSC: 34C20 34A34 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Nonlinear Math. Phys. 19, No. 2, 1250012, 21 p. (2012; Zbl 1255.34038) Full Text: DOI arXiv
Bhuvaneswari, A.; Kraenkel, Roberto A.; Senthilvelan, Murugaian Application of the \(\lambda\)-symmetries approach and time independent integral of the modified Emden equation. (English) Zbl 1239.34002 Nonlinear Anal., Real World Appl. 13, No. 3, 1102-1114 (2012). MSC: 34A05 34C14 PDFBibTeX XMLCite \textit{A. Bhuvaneswari} et al., Nonlinear Anal., Real World Appl. 13, No. 3, 1102--1114 (2012; Zbl 1239.34002) Full Text: DOI
Ruby, V. Chithiika; Senthilvelan, M. A report on the nonlinear squeezed states and their non-classical properties of a generalized isotonic oscillator. (English) Zbl 1245.81055 J. Phys. A, Math. Theor. 45, No. 12, Article ID 125302, 15 p. (2012). MSC: 81R30 81V80 PDFBibTeX XMLCite \textit{V. C. Ruby} and \textit{M. Senthilvelan}, J. Phys. A, Math. Theor. 45, No. 12, Article ID 125302, 15 p. (2012; Zbl 1245.81055) Full Text: DOI arXiv
Bhuvaneswari, A.; Kraenkel, R. A.; Senthilvelan, M. Lie point symmetries and the time-independent integral of the damped harmonic oscillator. (English) Zbl 1263.70024 Phys. Scr. 83, No. 5, Article ID 055005, 5 p. (2011). MSC: 70H15 22E70 PDFBibTeX XMLCite \textit{A. Bhuvaneswari} et al., Phys. Scr. 83, No. 5, Article ID 055005, 5 p. (2011; Zbl 1263.70024) Full Text: DOI
Stalin, S.; Senthilvelan, M. A note on the prolongation structure of the cubically nonlinear integrable Camassa-Holm type equation. (English) Zbl 1254.76029 Phys. Lett., A 375, No. 43, 3786-3788 (2011). MSC: 76B15 35G31 58A15 37K10 37K35 35Q35 PDFBibTeX XMLCite \textit{S. Stalin} and \textit{M. Senthilvelan}, Phys. Lett., A 375, No. 43, 3786--3788 (2011; Zbl 1254.76029) Full Text: DOI
Bruzon, M. S.; Gandarias, M. L.; Senthilvelan, M. On the nonlocal symmetries of certain nonlinear oscillators and their general solution. (English) Zbl 1250.34030 Phys. Lett., A 375, No. 33, 2985-2987 (2011). MSC: 34C15 37J35 PDFBibTeX XMLCite \textit{M. S. Bruzon} et al., Phys. Lett., A 375, No. 33, 2985--2987 (2011; Zbl 1250.34030) Full Text: DOI
Pradeep, R. Gladwin; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Nonlocal symmetries of a class of scalar and coupled nonlinear ordinary differential equations of any order. (English) Zbl 1236.34044 J. Phys. A, Math. Theor. 44, No. 44, Article ID 445201, 18 p. (2011). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 34C14 34A05 PDFBibTeX XMLCite \textit{R. G. Pradeep} et al., J. Phys. A, Math. Theor. 44, No. 44, Article ID 445201, 18 p. (2011; Zbl 1236.34044) Full Text: DOI arXiv
Kraenkel, R. A.; Senthilvelan, M. On the particular solutions of an integrable equation governing short waves in a long-wave model. (English) Zbl 1205.35013 Nonlinear Anal., Real World Appl. 12, No. 1, 446-449 (2011). MSC: 35B06 35Q30 35C05 PDFBibTeX XMLCite \textit{R. A. Kraenkel} and \textit{M. Senthilvelan}, Nonlinear Anal., Real World Appl. 12, No. 1, 446--449 (2011; Zbl 1205.35013) Full Text: DOI
Pradeep, R. Gladwin; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. A nonlocal connection between certain linear and nonlinear ordinary differential equations: extension to coupled equations. (English) Zbl 1314.34034 J. Math. Phys. 51, No. 10, 103513, 18 p. (2010). MSC: 34A34 34A30 34C20 PDFBibTeX XMLCite \textit{R. G. Pradeep} et al., J. Math. Phys. 51, No. 10, 103513, 18 p. (2010; Zbl 1314.34034) Full Text: DOI arXiv
Chithiika Ruby, V.; Senthilvelan, M. On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential. (English) Zbl 1310.81054 J. Math. Phys. 51, No. 5, 052106, 14 p. (2010). MSC: 81Q05 81R30 81U15 81Q80 PDFBibTeX XMLCite \textit{V. Chithiika Ruby} and \textit{M. Senthilvelan}, J. Math. Phys. 51, No. 5, 052106, 14 p. (2010; Zbl 1310.81054) Full Text: DOI arXiv
Pradeep, R. Gladwin; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system. (English) Zbl 1309.34007 J. Math. Phys. 51, No. 3, 033519, 23 p. (2010). MSC: 34A34 45D05 PDFBibTeX XMLCite \textit{R. G. Pradeep} et al., J. Math. Phys. 51, No. 3, 033519, 23 p. (2010; Zbl 1309.34007) Full Text: DOI arXiv
Ruby, V. Chithiika; Senthilvelan, M. On the generalized intelligent states and certain related nonclassical states of a quantum exactly solvable nonlinear oscillator. (English) Zbl 1200.81084 J. Phys. A, Math. Theor. 43, No. 41, Article ID 415301, 21 p. (2010). MSC: 81R30 81Q80 81U15 35Q55 81Q10 81R15 82D37 PDFBibTeX XMLCite \textit{V. C. Ruby} and \textit{M. Senthilvelan}, J. Phys. A, Math. Theor. 43, No. 41, Article ID 415301, 21 p. (2010; Zbl 1200.81084) Full Text: DOI arXiv
Pandey, S. N.; Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M. A group theoretical identification of integrable cases of the Liénard-type equation \(\ddot x +f(x)\dot x +g(x)=0\). I: Equations having nonmaximal number of Lie point symmetries. (English) Zbl 1328.34031 J. Math. Phys. 50, No. 8, 082702, 19 p. (2009). MSC: 34C14 37K05 PDFBibTeX XMLCite \textit{S. N. Pandey} et al., J. Math. Phys. 50, No. 8, 082702, 19 p. (2009; Zbl 1328.34031) Full Text: DOI arXiv
Hone, A. N. W.; Senthilvelan, M. Note on the Poisson structure of the damped oscillator. (English) Zbl 1236.70010 J. Math. Phys. 50, No. 10, 102902, 7 p. (2009). MSC: 70G45 PDFBibTeX XMLCite \textit{A. N. W. Hone} and \textit{M. Senthilvelan}, J. Math. Phys. 50, No. 10, 102902, 7 p. (2009; Zbl 1236.70010) Full Text: DOI
Pandey, S. N.; Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M. A group theoretical identification of integrable equations in the Liénard-type equation \(\ddot x+f(x)\dot x+g(x) = 0\). II: Equations having maximal Lie point symmetries. (English) Zbl 1283.34036 J. Math. Phys. 50, No. 10, 102701, 25 p. (2009). MSC: 34C14 34C20 PDFBibTeX XMLCite \textit{S. N. Pandey} et al., J. Math. Phys. 50, No. 10, 102701, 25 p. (2009; Zbl 1283.34036) Full Text: DOI arXiv
Pradeep, R. Gladwin; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Nonstandard conserved Hamiltonian structures in dissipative/damped systems: nonlinear generalizations of damped harmonic oscillator. (English) Zbl 1187.34046 J. Math. Phys. 50, No. 5, 052901, 15 p. (2009). MSC: 34C15 34C20 37J05 70H06 PDFBibTeX XMLCite \textit{R. G. Pradeep} et al., J. Math. Phys. 50, No. 5, 052901, 15 p. (2009; Zbl 1187.34046) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations. (English) Zbl 1186.34050 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2369-2389 (2009). MSC: 34C14 34C20 37C10 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2369--2389 (2009; Zbl 1186.34050) Full Text: DOI arXiv Link
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the complete integrability and linearization of nonlinear ordinary differential equations. IV. Coupled second-order equations. (English) Zbl 1186.34049 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2102, 609-629 (2009). MSC: 34C14 34A05 34C05 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2102, 609--629 (2009; Zbl 1186.34049) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the complete integrability and linearization of nonlinear ordinary differential equations. III. Coupled first-order equations. (English) Zbl 1186.34048 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2102, 585-608 (2009). MSC: 34C14 34A05 34C05 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2102, 585--608 (2009; Zbl 1186.34048) Full Text: DOI arXiv
Kraenkel, R. A.; Senthilvelan, M. On the solutions of the position-dependent effective mass Schrödinger equation of a nonlinear oscillator related with the isotonic oscillator. (English) Zbl 1179.81057 J. Phys. A, Math. Theor. 42, No. 41, Article ID 415303, 10 p. (2009). MSC: 81Q05 81Q80 81U15 PDFBibTeX XMLCite \textit{R. A. Kraenkel} and \textit{M. Senthilvelan}, J. Phys. A, Math. Theor. 42, No. 41, Article ID 415303, 10 p. (2009; Zbl 1179.81057) Full Text: DOI
Pradeep, R. Gladwin; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Dynamics of a completely integrable \(N\) coupled Liénard-type nonlinear oscillator. (English) Zbl 1182.70025 J. Phys. A, Math. Theor. 42, No. 13, Article ID 135206, 16 p. (2009). Reviewer: Giovanni Giachetta (Camerino) MSC: 70H06 70K43 70K42 34C15 PDFBibTeX XMLCite \textit{R. G. Pradeep} et al., J. Phys. A, Math. Theor. 42, No. 13, Article ID 135206, 16 p. (2009; Zbl 1182.70025) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Correction for Chandrasekar et al., on the complete integrability and linearization of certain second-order nonlinear ordinary differential equations. (English) Zbl 1186.34047 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2100, 3377 (2008). MSC: 34C14 34C20 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2100, 3377 (2008; Zbl 1186.34047) Full Text: DOI
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Reply to ‘Comment on “On the general solution for the modified Emden type equation \(\ddot{x}+\alpha x\dot x+\beta x^3=0\)”’. (English) Zbl 1137.34301 J. Phys. A, Math. Theor. 41, No. 6, Article ID 068002, 4 p. (2008). MSC: 34A05 34A34 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Phys. A, Math. Theor. 41, No. 6, Article ID 068002, 4 p. (2008; Zbl 1137.34301) Full Text: DOI
Bluman, George; Cheviakov, Alexei F.; Senthilvelan, M. Solution and asymptotic/blow-up behaviour of a class of nonlinear dissipative systems. (English) Zbl 1131.34030 J. Math. Anal. Appl. 339, No. 2, 1199-1209 (2008). MSC: 34C14 34A05 PDFBibTeX XMLCite \textit{G. Bluman} et al., J. Math. Anal. Appl. 339, No. 2, 1199--1209 (2008; Zbl 1131.34030) Full Text: DOI
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the general solution for the modified Emden-type equation \(\ddot x+\alpha x\dot x+\beta x^3=0\). (English) Zbl 1128.34003 J. Phys. A, Math. Theor. 40, No. 18, 4717-4727 (2007). Reviewer: Valeriy A. Yumaguzhin (Pereslavl’-Zalesskiy) MSC: 34A05 34A34 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Phys. A, Math. Theor. 40, No. 18, 4717--4727 (2007; Zbl 1128.34003) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator. (English) Zbl 1137.70344 J. Math. Phys. 48, No. 3, 032701, 12 p. (2007). MSC: 70H03 34C15 70H05 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Math. Phys. 48, No. 3, 032701, 12 p. (2007; Zbl 1137.70344) Full Text: DOI arXiv
Senthilvelan, M.; Torrisi, M. Symmetry analysis and linearization of the \((2+1)\) dimensional Burgers equation. (English) Zbl 1345.76036 Monaco, Roberto (ed.) et al., Proceedings “WASCOM 2005”. 13th conference on waves and stability in continuous media, Catania, Italy, June 19–25, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-804-2/hbk; 978-981-277-361-6/ebook). 493-504 (2006). MSC: 76D99 35B06 35Q35 PDFBibTeX XMLCite \textit{M. Senthilvelan} and \textit{M. Torrisi}, in: Proceedings ``WASCOM 2005''. 13th conference on waves and stability in continuous media, Catania, Italy, June 19--25, 2005. Hackensack, NJ: World Scientific. 493--504 (2006; Zbl 1345.76036) Full Text: DOI
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the complete integrability and linearization of nonlinear ordinary differential equations. II: Third-order equations. (English) Zbl 1149.34319 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2070, 1831-1852 (2006). MSC: 34C14 34A05 34C20 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2070, 1831--1852 (2006; Zbl 1149.34319) Full Text: DOI arXiv
Chandrasekar, V. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M. A simple and unified approach to identify integrable nonlinear oscillators and systems. (English) Zbl 1111.34003 J. Math. Phys. 47, No. 2, 023508, 37 p. (2006). MSC: 34A05 34C14 34C15 70K99 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Math. Phys. 47, No. 2, 023508, 37 p. (2006; Zbl 1111.34003) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Kundu, Anjan; Lakshmanan, M. A nonlocal connection between certain linear and nonlinear ordinary differential equations/ oscillators. (English) Zbl 1107.34003 J. Phys. A, Math. Gen. 39, No. 31, 9743-9754 (2006). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 34A05 34A34 34A30 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Phys. A, Math. Gen. 39, No. 31, 9743--9754 (2006; Zbl 1107.34003) Full Text: DOI arXiv
Gordoa, P. R.; Pickering, A.; Senthilvelan, M. A note on the Painlevé analysis of a \((2+1)\)-dimensional Camassa-Holm equation. (English) Zbl 1099.35097 Chaos Solitons Fractals 28, No. 5, 1281-1284 (2006). MSC: 35Q35 37K10 PDFBibTeX XMLCite \textit{P. R. Gordoa} et al., Chaos Solitons Fractals 28, No. 5, 1281--1284 (2006; Zbl 1099.35097) Full Text: DOI arXiv
Senthilvelan, M.; Torrisi, M.; Valenti, A. Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation. (English) Zbl 1089.81019 J. Phys. A, Math. Gen. 39, No. 14, 3703-3713 (2006). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{M. Senthilvelan} et al., J. Phys. A, Math. Gen. 39, No. 14, 3703--3713 (2006; Zbl 1089.81019) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. A unification in the theory of linearization of second-order nonlinear ordinary differential equations. (English) Zbl 1146.34312 J. Phys. A, Math. Gen. 39, No. 3, L69-L76 (2006). Reviewer: Dara Moazzami (Tehran) MSC: 34C20 34A25 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Phys. A, Math. Gen. 39, No. 3, L69--L76 (2006; Zbl 1146.34312) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. Extended Prelle-Singer method and integrability/solvability of a class of nonlinear \(n\)th order ordinary differential equations. (English) Zbl 1362.34002 J. Nonlinear Math. Phys. 12, Suppl. 1, 184-201 (2005). MSC: 34A05 34C14 34C20 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Nonlinear Math. Phys. 12, 184--201 (2005; Zbl 1362.34002) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations. (English) Zbl 1186.34046 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2060, 2451-2476 (2005); correction ibid. 464, No. 2100, 3377 (2008). MSC: 34C14 34C20 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2060, 2451--2476 (2005; Zbl 1186.34046) Full Text: DOI arXiv
Chandrasekar, V. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M. Application of extended Prelle–Singer procedure to the generalized modified Emden type equation. (English) Zbl 1086.34500 Chaos Solitons Fractals 26, No. 5, 1399-1406 (2005). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 34A05 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., Chaos Solitons Fractals 26, No. 5, 1399--1406 (2005; Zbl 1086.34500) Full Text: DOI
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Senthilvelan, Murugaian A nonlinear oscillator with quasi-harmonic behaviour: two- and \(n\)-dimensional oscillators. (English) Zbl 1068.37038 Nonlinearity 17, No. 5, 1941-1963 (2004). MSC: 37J35 34C15 70H06 81Q05 70G45 70H03 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Nonlinearity 17, No. 5, 1941--1963 (2004; Zbl 1068.37038) Full Text: DOI arXiv
Bindu, P. S.; Lakshmanan, M.; Senthilvelan, M. On the integrability, Bäcklund transformation and symmetry aspects of a generalized Fisher type nonlinear reaction-diffusion equation. (English) Zbl 1061.35037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 5, 1577-1600 (2004). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35K57 35A30 35Q58 37K10 37K35 58J70 PDFBibTeX XMLCite \textit{P. S. Bindu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 5, 1577--1600 (2004; Zbl 1061.35037) Full Text: DOI arXiv
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M. New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems. (English) Zbl 1069.34055 J. Phys. A, Math. Gen. 37, No. 16, 4527-4534 (2004). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 34C15 34A05 PDFBibTeX XMLCite \textit{V. K. Chandrasekar} et al., J. Phys. A, Math. Gen. 37, No. 16, 4527--4534 (2004; Zbl 1069.34055) Full Text: DOI arXiv
Senthilvelan, M.; Torrisi, M. On certain new solutions of a simplified model for reacting mixtures. (English) Zbl 1012.76100 Nonlinear Dyn. 30, No. 3, 277-286 (2002). MSC: 76V05 76M60 35Q35 80A32 PDFBibTeX XMLCite \textit{M. Senthilvelan} and \textit{M. Torrisi}, Nonlinear Dyn. 30, No. 3, 277--286 (2002; Zbl 1012.76100) Full Text: DOI
Kraenkel, R. A.; Senthilvelan, M. Mathematical models of generalized diffusion. (English) Zbl 1064.35167 Phys. Scr. 63, No. 5, 353-356 (2001). MSC: 35Q53 76R50 76L05 PDFBibTeX XMLCite \textit{R. A. Kraenkel} and \textit{M. Senthilvelan}, Phys. Scr. 63, No. 5, 353--356 (2001; Zbl 1064.35167) Full Text: DOI
Kraenkel, R. A.; Senthilvelan, M. Symmetry analysis of an integrable reaction-diffusion equation. (English) Zbl 1015.35006 Chaos Solitons Fractals 12, No. 3, 463-474 (2001). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 35A30 35K40 35K57 37K10 58J70 PDFBibTeX XMLCite \textit{R. A. Kraenkel} and \textit{M. Senthilvelan}, Chaos Solitons Fractals 12, No. 3, 463--474 (2001; Zbl 1015.35006) Full Text: DOI
Senthilvelan, M. On the extended applications of homogeneous balance method. (English) Zbl 1032.35159 Appl. Math. Comput. 123, No. 3, 381-388 (2001). MSC: 35Q53 35Q58 35C05 PDFBibTeX XMLCite \textit{M. Senthilvelan}, Appl. Math. Comput. 123, No. 3, 381--388 (2001; Zbl 1032.35159) Full Text: DOI
Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M. Singularity structure, symmetries and integrability of generalized Fisher-type nonlinear diffusion equation. (English) Zbl 0992.35077 J. Phys. A, Math. Gen. 34, No. 49, L689-L696 (2001). MSC: 35Q35 37K30 35K57 PDFBibTeX XMLCite \textit{P. S. Bindu} et al., J. Phys. A, Math. Gen. 34, No. 49, L689--L696 (2001; Zbl 0992.35077) Full Text: DOI arXiv
Kraenkel, R. A.; Senthilvelan, M.; Zenchuk, A. I. Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation. (English) Zbl 1115.37347 Phys. Lett., A 273, No. 3, 183-193 (2000). MSC: 37K10 35A30 35Q53 37K05 37K40 PDFBibTeX XMLCite \textit{R. A. Kraenkel} et al., Phys. Lett., A 273, No. 3, 183--193 (2000; Zbl 1115.37347) Full Text: DOI
Kraenkel, R. A.; Senthilvelan, M.; Zenchuk, A. I. On the integrable perturbations of the Camassa-Holm equation. (English) Zbl 1052.37058 J. Math. Phys. 41, No. 5, 3160-3169 (2000). MSC: 37K55 PDFBibTeX XMLCite \textit{R. A. Kraenkel} et al., J. Math. Phys. 41, No. 5, 3160--3169 (2000; Zbl 1052.37058) Full Text: DOI
Senthilvelan, M. Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations. (English) Zbl 0958.37055 Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 401-406 (2000). MSC: 37K30 37K10 17B80 17B68 PDFBibTeX XMLCite \textit{M. Senthilvelan}, in: SIDE III -- Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16--22, 1998. Providence, RI: American Mathematical Society (AMS). 401--406 (2000; Zbl 0958.37055)