Bebikhov, Yu. V.; Naumov, E. K.; Semenova, M. N.; Dmitriev, S. V. Discrete breathers in a \(\beta\)-FPUT square lattice from in-band external driving. (English) Zbl 07822373 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107897, 13 p. (2024). MSC: 37Kxx 82Cxx 35Qxx PDFBibTeX XMLCite \textit{Yu. V. Bebikhov} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107897, 13 p. (2024; Zbl 07822373) Full Text: DOI
Bachurina, O. V.; Murzaev, R. T.; Shcherbinin, S. A.; Kudreyko, A. A.; Dmitriev, S. V.; Bachurin, D. V. Delocalized nonlinear vibrational modes in Ni\(_3\)Al. (English) Zbl 07822367 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107890, 12 p. (2024). MSC: 37Kxx 82Dxx 74Axx PDFBibTeX XMLCite \textit{O. V. Bachurina} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107890, 12 p. (2024; Zbl 07822367) Full Text: DOI
Fakhretdinov, M. I.; Samsonov, K. Y.; Dmitriev, S. V.; Ekomasov, E. G. Kink dynamics in the \(\varphi^4\) model with extended impurity. (English) Zbl 1527.35129 Russ. J. Nonlinear Dyn. 19, No. 3, 303-320 (2023). MSC: 35C08 35L71 35Q51 PDFBibTeX XMLCite \textit{M. I. Fakhretdinov} et al., Russ. J. Nonlinear Dyn. 19, No. 3, 303--320 (2023; Zbl 1527.35129) Full Text: DOI MNR
Ke, Da; Zhong, Wei; Dmitriev, Sergey V.; Xiong, Daxing Unconventional relaxation of hydrodynamic modes in anharmonic chains under strong pressure fluctuations. (English) Zbl 1505.82051 J. Phys. A, Math. Theor. 55, No. 5, Article ID 055001, 16 p. (2022). MSC: 82C70 82D15 35Q82 PDFBibTeX XMLCite \textit{D. Ke} et al., J. Phys. A, Math. Theor. 55, No. 5, Article ID 055001, 16 p. (2022; Zbl 1505.82051) Full Text: DOI
Upadhyaya, A.; Semenova, M. N.; Kudreyko, A. A.; Dmitriev, S. V. Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice. (English) Zbl 1491.82020 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106541, 11 p. (2022). MSC: 82D25 82C20 82M37 37K60 37K40 PDFBibTeX XMLCite \textit{A. Upadhyaya} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106541, 11 p. (2022; Zbl 1491.82020) Full Text: DOI
Shcherbinin, S. A.; Krylova, K. A.; Chechin, G. M.; Soboleva, E. G.; Dmitriev, S. V. Delocalized nonlinear vibrational modes in fcc metals. (English) Zbl 1492.74006 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106039, 14 p. (2022). MSC: 74A25 81V55 82M37 PDFBibTeX XMLCite \textit{S. A. Shcherbinin} et al., Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106039, 14 p. (2022; Zbl 1492.74006) Full Text: DOI
Singh, Mohit; Morkina, Alina Y.; Korznikova, Elena A.; Dubinko, Volodymyr I.; Terentiev, Dmitry A.; Xiong, Daxing; Naimark, Oleg B.; Gani, Vakhid A.; Dmitriev, Sergey V. Effect of discrete breathers on the specific heat of a nonlinear chain. (English) Zbl 1467.37070 J. Nonlinear Sci. 31, No. 1, Paper No. 12, 27 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 37K60 65P10 65P40 PDFBibTeX XMLCite \textit{M. Singh} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 12, 27 p. (2021; Zbl 1467.37070) Full Text: DOI arXiv
Krylova, Karina A.; Korznikova, Elena A.; Semenov, Alexander S.; Bachurin, Dmitry V.; Dmitriev, Sergey V. Linking tracks in mica crystals with phase transitions in a bistable lattice. (English) Zbl 1516.82083 Eur. Phys. J. B, Condens. Matter Complex Syst. 93, No. 2, Paper No. 23, 8 p. (2020). MSC: 82D25 PDFBibTeX XMLCite \textit{K. A. Krylova} et al., Eur. Phys. J. B, Condens. Matter Complex Syst. 93, No. 2, Paper No. 23, 8 p. (2020; Zbl 1516.82083) Full Text: DOI
Shepelev, I. A.; Dmitriev, S. V.; Kudreyko, A. A.; Velarde, M. G.; Korznikova, E. A. Supersonic voidions in 2D Morse lattice. (English) Zbl 1495.82031 Chaos Solitons Fractals 140, Article ID 110217, 10 p. (2020). MSC: 82D25 65Z05 74A25 82C20 PDFBibTeX XMLCite \textit{I. A. Shepelev} et al., Chaos Solitons Fractals 140, Article ID 110217, 10 p. (2020; Zbl 1495.82031) Full Text: DOI
Askari, Alidad; Moradi Marjaneh, Aliakbar; Rakhmatullina, Zhanna G.; Ebrahimi-Loushab, Mahdy; Saadatmand, Danial; Gani, Vakhid A.; Kevrekidis, Panayotis G.; Dmitriev, Sergey V. Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness. (English) Zbl 1490.35373 Chaos Solitons Fractals 138, Article ID 109854, 12 p. (2020). MSC: 35Q51 35C08 81T10 82B20 81Q05 82C20 PDFBibTeX XMLCite \textit{A. Askari} et al., Chaos Solitons Fractals 138, Article ID 109854, 12 p. (2020; Zbl 1490.35373) Full Text: DOI arXiv
Savin, A. V.; Korznikova, Elena A.; Krivtsov, A. M.; Dmitriev, Sergey V. Longitudinal stiffness and thermal conductivity of twisted carbon nanoribbons. (English) Zbl 1483.74024 Eur. J. Mech., A, Solids 80, Article ID 103920, 10 p. (2020). MSC: 74F05 74G60 74A25 74M25 PDFBibTeX XMLCite \textit{A. V. Savin} et al., Eur. J. Mech., A, Solids 80, Article ID 103920, 10 p. (2020; Zbl 1483.74024) Full Text: DOI
Korznikova, Elena A.; Morkina, Alina Y.; Singh, Mohit; Krivtsov, Anton M.; Kuzkin, Vitaly A.; Gani, Vakhid A.; Bebikhov, Yuri V.; Dmitriev, Sergey V. Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain. arXiv:1907.10094 Preprint, arXiv:1907.10094 [nlin.PS] (2019). BibTeX Cite \textit{E. A. Korznikova} et al., ``Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain'', Preprint, arXiv:1907.10094 [nlin.PS] (2019) Full Text: DOI arXiv OA License
Saadatmand, Danial; Borisov, Denis I.; Kevrekidis, Panayotis G.; Zhou, Kun; Dmitriev, Sergey V. Resonant interaction of \(\phi^4\) kink with \(\mathcal{PT}\)-symmetric perturbation with spatially periodic gain/loss coefficient. (English) Zbl 1510.35185 Commun. Nonlinear Sci. Numer. Simul. 56, 62-76 (2018). MSC: 35L71 PDFBibTeX XMLCite \textit{D. Saadatmand} et al., Commun. Nonlinear Sci. Numer. Simul. 56, 62--76 (2018; Zbl 1510.35185) Full Text: DOI arXiv
Askari, Alidad; Saadatmand, Danial; Dmitriev, Sergey V.; Javidan, Kurosh High energy density spots and production of kink-antikink pairs in particle collisions. (English) Zbl 1469.35148 Wave Motion 78, 54-59 (2018). MSC: 35L71 35C08 PDFBibTeX XMLCite \textit{A. Askari} et al., Wave Motion 78, 54--59 (2018; Zbl 1469.35148) Full Text: DOI arXiv
Marjaneh, Aliakbar Moradi; Saadatmand, Danial; Zhou, Kun; Dmitriev, Sergey V.; Zomorrodian, Mohammad Ebrahim High energy density in the collision of \(N\) kinks in the \(\phi^4\) model. (English) Zbl 1456.74096 Commun. Nonlinear Sci. Numer. Simul. 49, 30-38 (2017). MSC: 74J30 74A25 35Q51 PDFBibTeX XMLCite \textit{A. M. Marjaneh} et al., Commun. Nonlinear Sci. Numer. Simul. 49, 30--38 (2017; Zbl 1456.74096) Full Text: DOI arXiv
Moradi Marjaneh, Aliakbar; Gani, Vakhid A.; Saadatmand, Danial; Dmitriev, Sergey V.; Javidan, Kurosh Multi-kink collisions in the \({\phi}^{6}\) model. (English) Zbl 1380.81372 J. High Energy Phys. 2017, No. 7, Paper No. 28, 22 p. (2017). MSC: 81T45 81Q05 35Q51 83C80 PDFBibTeX XMLCite \textit{A. Moradi Marjaneh} et al., J. High Energy Phys. 2017, No. 7, Paper No. 28, 22 p. (2017; Zbl 1380.81372) Full Text: DOI arXiv
Borisov, D. I.; Dmitriev, S. V. On the spectral stability of kinks in 2D Klein-Gordon model with parity-time-symmetric perturbation. (English) Zbl 1364.35305 Stud. Appl. Math. 138, No. 3, 317-342 (2017). MSC: 35Q53 35C08 35P20 35C20 35B35 35B38 PDFBibTeX XMLCite \textit{D. I. Borisov} and \textit{S. V. Dmitriev}, Stud. Appl. Math. 138, No. 3, 317--342 (2017; Zbl 1364.35305) Full Text: DOI arXiv
Saadatmand, Danial; Dmitriev, Sergey V.; Borisov, Denis I.; Kevrekidis, Panayotis G.; Fatykhov, Minnekhan A.; Javidan, Kurosh Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model. (English) Zbl 1510.35186 Commun. Nonlinear Sci. Numer. Simul. 29, No. 1-3, 267-282 (2015). MSC: 35L71 35C08 PDFBibTeX XMLCite \textit{D. Saadatmand} et al., Commun. Nonlinear Sci. Numer. Simul. 29, No. 1--3, 267--282 (2015; Zbl 1510.35186) Full Text: DOI arXiv
Kistanov, Andrei A.; Dmitriev, Sergey V.; Chetverikov, Alexander P.; Velarde, Manuel G. Head-on and head-off collisions of discrete breathers in two-dimensional anharmonic crystal lattices. (English) Zbl 1515.82149 Eur. Phys. J. B, Condens. Matter Complex Syst. 87, No. 9, Paper No. 211, 5 p. (2014). MSC: 82D25 PDFBibTeX XMLCite \textit{A. A. Kistanov} et al., Eur. Phys. J. B, Condens. Matter Complex Syst. 87, No. 9, Paper No. 211, 5 p. (2014; Zbl 1515.82149) Full Text: DOI
Vasiliev, Aleksey A.; Miroshnichenko, Andrey E.; Dmitriev, Sergey V. Multi-field modeling of a Cosserat lattice: models, wave filtering, and boundary effects. (English) Zbl 1406.74036 Eur. J. Mech., A, Solids 46, 96-105 (2014). MSC: 74A35 PDFBibTeX XMLCite \textit{A. A. Vasiliev} et al., Eur. J. Mech., A, Solids 46, 96--105 (2014; Zbl 1406.74036) Full Text: DOI
Ekomasov, E. G.; Gumerov, A. M.; Murtazin, R. R.; Ekomasov, A. E.; Dmitriev, S. V. Excitation of high-amplitude localized nonlinear waves as a result of interaction of kink with attractive impurity in sine-Gordon equation. arXiv:1307.3470 Preprint, arXiv:1307.3470 [nlin.PS] (2013). BibTeX Cite \textit{E. G. Ekomasov} et al., ``Excitation of high-amplitude localized nonlinear waves as a result of interaction of kink with attractive impurity in sine-Gordon equation'', Preprint, arXiv:1307.3470 [nlin.PS] (2013) Full Text: arXiv OA License
Kistanov, A. A.; Iskandarov, A. M.; Dmitriev, S. V. The equilibrium states of \(A_{1-x}B_{1+x}\) binary alloys in the hard-sphere and pair-binding model. (English. Russian original) Zbl 1253.82014 Russ. Phys. J. 54, No. 10, 1128-1136 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 67-74 (2011). MSC: 82B20 82D20 81V45 PDFBibTeX XMLCite \textit{A. A. Kistanov} et al., Russ. Phys. J. 54, No. 10, 1128--1136 (2012; Zbl 1253.82014); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 67--74 (2011) Full Text: DOI
Khare, Avinash; Suchkov, Sergey V.; Dmitriev, Sergey V. Exact static solutions of a two-dimensional discrete \(\phi^4\) model. (English) Zbl 1227.81221 J. Phys. A, Math. Theor. 44, No. 35, Article ID 355207, 13 p. (2011). MSC: 81T10 81Q80 81U15 PDFBibTeX XMLCite \textit{A. Khare} et al., J. Phys. A, Math. Theor. 44, No. 35, Article ID 355207, 13 p. (2011; Zbl 1227.81221) Full Text: DOI
Dmitriev, Sergey V.; Nazarova, Asiya A.; Pshenichnyuk, Anatoliy I.; Iskandarov, Albert M. Dynamics of edge dislocation clusters interacting with running acoustic waves. (English) Zbl 1233.74015 Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1079-1094 (2011). Reviewer: Giovanni Giachetta (Camerino) MSC: 74J20 74M25 74F10 76Q05 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1079--1094 (2011; Zbl 1233.74015) Full Text: DOI
Khadeeva, L. Z.; Dmitriev, S. V. Characteristics of gap discrete breathers in crystals with NaCl structure. (Russian) Zbl 1249.82026 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 18, No. 6, 85-92 (2010). MSC: 82D25 PDFBibTeX XMLCite \textit{L. Z. Khadeeva} and \textit{S. V. Dmitriev}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 18, No. 6, 85--92 (2010; Zbl 1249.82026)
Suchkov, S. V.; Dmitriev, S. V. Kink dynamics in the discrete Klein-Gordon model with asymmetric potential in the presence of ac driving. (Russian) Zbl 1249.35311 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 18, No. 4, 121-131 (2010). MSC: 35Q55 81Q12 PDFBibTeX XMLCite \textit{S. V. Suchkov} and \textit{S. V. Dmitriev}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 18, No. 4, 121--131 (2010; Zbl 1249.35311)
Bebikhov, Yuri V.; Dmitriev, Sergey V.; Suchkov, Sergey V.; Khare, Avinash Effect of damping on kink ratchets in the Klein-Gordon lattice free of the Peierls-Nabarro potential. (English) Zbl 1236.81100 Phys. Lett., A 374, No. 13-14, 1477-1480 (2010). MSC: 81Q37 81Q05 39A12 35C08 PDFBibTeX XMLCite \textit{Y. V. Bebikhov} et al., Phys. Lett., A 374, No. 13--14, 1477--1480 (2010; Zbl 1236.81100) Full Text: DOI
Baimova, J. A.; Bebikhov, Yu. V.; Dmitriev, S. V.; Khare, A.; Potekaev, A. I. Translationally invariant kink solutions of discrete \(\varphi^4\) models. (English. Russian original) Zbl 1205.81110 Russ. Phys. J. 53, No. 3, 231-238 (2010); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2010, No. 3, 20-25 (2010). MSC: 81T25 81T10 82D20 PDFBibTeX XMLCite \textit{J. A. Baimova} et al., Russ. Phys. J. 53, No. 3, 231--238 (2010; Zbl 1205.81110); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2010, No. 3, 20--25 (2010) Full Text: DOI
Dmitriev, Sergey V.; Yoshikawa, Nobuhiro; Mulyukov, Radik R. Rapid change of stresses in thickness direction in long orthotropic tube under internal pressure and axial load. (English) Zbl 1397.74045 Acta Mech. 211, No. 3-4, 323-336 (2010). MSC: 74E30 74K25 74E10 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., Acta Mech. 211, No. 3--4, 323--336 (2010; Zbl 1397.74045) Full Text: DOI
Vasiliev, A. A.; Dmitriev, S. V.; Miroshnichenko, A. E. Multi-field approach in mechanics of structural solids. (English) Zbl 1183.74160 Int. J. Solids Struct. 47, No. 3-4, 510-525 (2010). MSC: 74K99 PDFBibTeX XMLCite \textit{A. A. Vasiliev} et al., Int. J. Solids Struct. 47, No. 3--4, 510--525 (2010; Zbl 1183.74160) Full Text: DOI arXiv
Dmitriev, S. V.; Potekaev, A. I.; Samsonov, A. V. Long-period states of a crystal finite-size-particle system. (English. Russian original) Zbl 1180.82180 Russ. Phys. J. 52, No. 6, 622-639 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2009, No. 6, 68-82 (2009). MSC: 82D20 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., Russ. Phys. J. 52, No. 6, 622--639 (2009; Zbl 1180.82180); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2009, No. 6, 68--82 (2009) Full Text: DOI
Dmitriev, Sergey V.; Frantzeskakis, Dimitri J. Solitary wave collisions. (English) Zbl 1230.37090 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 311-327 (2009). MSC: 37K40 37K60 39A12 35Q51 PDFBibTeX XMLCite \textit{S. V. Dmitriev} and \textit{D. J. Frantzeskakis}, Springer Tracts Mod. Phys. 232, 311--327 (2009; Zbl 1230.37090) Full Text: DOI
Dmitriev, Sergey V.; Khare, Avinash Exceptional discretizations of the NLS: exact solutions and conservation laws. (English) Zbl 1230.37084 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 293-310 (2009). MSC: 37K10 37K60 35Q55 PDFBibTeX XMLCite \textit{S. V. Dmitriev} and \textit{A. Khare}, Springer Tracts Mod. Phys. 232, 293--310 (2009; Zbl 1230.37084) Full Text: DOI
Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh Exact static solutions of a generalized discrete \(\phi^{4}\) model including short-periodic solutions. (English) Zbl 1161.81020 J. Phys. A, Math. Theor. 42, No. 14, Article ID 145204, 23 p. (2009). MSC: 81T10 82D25 82D20 81Q50 35Q51 PDFBibTeX XMLCite \textit{A. Khare} et al., J. Phys. A, Math. Theor. 42, No. 14, Article ID 145204, 23 p. (2009; Zbl 1161.81020) Full Text: DOI arXiv
Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh Exact moving and stationary solutions of a generalized discrete nonlinear Schrödinger equation. (English) Zbl 1129.35457 J. Phys. A, Math. Theor. 40, No. 37, 11301-11317 (2007). MSC: 35Q55 37K60 35C05 37K40 37K20 PDFBibTeX XMLCite \textit{A. Khare} et al., J. Phys. A, Math. Theor. 40, No. 37, 11301--11317 (2007; Zbl 1129.35457) Full Text: DOI arXiv
Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. (English) Zbl 1113.81094 J. Phys. A, Math. Theor. 40, No. 24, 6267-6286 (2007). MSC: 81T10 81T25 81U15 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., J. Phys. A, Math. Theor. 40, No. 24, 6267--6286 (2007; Zbl 1113.81094) Full Text: DOI arXiv
Kevrekidis, P. G.; Dmitriev, S. V.; Sukhorukov, A. A. On a class of spatial discretizations of equations of the nonlinear Schrödinger type. (English) Zbl 1112.65083 Math. Comput. Simul. 74, No. 4-5, 343-351 (2007). MSC: 65M06 35Q51 35Q55 PDFBibTeX XMLCite \textit{P. G. Kevrekidis} et al., Math. Comput. Simul. 74, No. 4--5, 343--351 (2007; Zbl 1112.65083) Full Text: DOI arXiv Link
Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N.; Frantzeskakis, D. J. Exact stationary solutions for the translationally invariant discrete nonlinear Schrödinger equations. (English) Zbl 1121.35128 J. Phys. A, Math. Theor. 40, No. 8, 1727-1746 (2007). MSC: 35Q55 35K60 35C05 37K20 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., J. Phys. A, Math. Theor. 40, No. 8, 1727--1746 (2007; Zbl 1121.35128) Full Text: DOI
Dmitriev, S. V.; Kevrekidis, P. G.; Sukhorukov, A. A.; Yoshikawa, N.; Takeno, S. Discrete nonlinear Schrödinger equations free of the Peierls-Nabarro potential. (English) Zbl 1160.35535 Phys. Lett., A 356, No. 4-5, 324-332 (2006). MSC: 35Q55 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., Phys. Lett., A 356, No. 4--5, 324--332 (2006; Zbl 1160.35535) Full Text: DOI arXiv
Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N. Standard nearest-neighbour discretizations of Klein-Gordon models cannot preserve both energy and linear momentum. (English) Zbl 1098.81055 J. Phys. A, Math. Gen. 39, No. 23, 7217-7226 (2006). MSC: 81T05 81T80 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., J. Phys. A, Math. Gen. 39, No. 23, 7217--7226 (2006; Zbl 1098.81055) Full Text: DOI arXiv
Vasiliev, A. A.; Dmitriev, S. V.; Miroshnichenko, A. E. Multi-field continuum theory for medium with microscopic rotations. (English) Zbl 1119.74340 Int. J. Solids Struct. 42, No. 24-25, 6245-6260 (2005). MSC: 74E15 74A60 82D25 PDFBibTeX XMLCite \textit{A. A. Vasiliev} et al., Int. J. Solids Struct. 42, No. 24--25, 6245--6260 (2005; Zbl 1119.74340) Full Text: DOI arXiv
Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N. Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential. (English) Zbl 1083.82013 J. Phys. A, Math. Gen. 38, No. 35, 7617-7627 (2005). MSC: 82C20 82D45 35Q51 81Q50 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., J. Phys. A, Math. Gen. 38, No. 35, 7617--7627 (2005; Zbl 1083.82013) Full Text: DOI arXiv
Dmitriev, Sergey V.; Shigenari, Takeshi Short-lived two-soliton bound states in weakly perturbed nonlinear Schrödinger equation. (English) Zbl 1080.35544 Chaos 12, No. 2, 324-331 (2002). MSC: 35Q55 35B20 35Q51 PDFBibTeX XMLCite \textit{S. V. Dmitriev} and \textit{T. Shigenari}, Chaos 12, No. 2, 324--331 (2002; Zbl 1080.35544) Full Text: DOI
Dmitriev, Sergey V.; Abe, Kohji; Shigenari, Takeshi Domain wall solutions for EHM model of crystal: Structures with period multiple of four. (English) Zbl 0973.35164 Physica D 147, No. 1-2, 122-134 (2000). MSC: 35Q53 82D25 PDFBibTeX XMLCite \textit{S. V. Dmitriev} et al., Physica D 147, No. 1--2, 122--134 (2000; Zbl 0973.35164) Full Text: DOI
Miroshnichenko, A. E.; Dmitriev, S. V.; Vasiliev, A. A.; Shigenari, T. Inelastic three-soliton collisions in a weakly discrete sine-Gordon system. (English) Zbl 0952.35124 Nonlinearity 13, No. 3, 837-848 (2000). MSC: 35Q53 35Q51 37K60 37K40 PDFBibTeX XMLCite \textit{A. E. Miroshnichenko} et al., Nonlinearity 13, No. 3, 837--848 (2000; Zbl 0952.35124) Full Text: DOI Link