Ablowitz, Mark J.; Cole, Justin T.; El, Gennady A.; Hoefer, Mark A.; Luo, Xu-Dan Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics. (English) Zbl 1528.35144 Stud. Appl. Math. 151, No. 3, 795-856 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q53 35Q35 76L05 76P05 37K15 35C08 35B20 35B40 35R09 65M70 65M06 65N35 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Stud. Appl. Math. 151, No. 3, 795--856 (2023; Zbl 1528.35144) Full Text: DOI arXiv
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H. Three-wave interaction equations: classical and nonlocal. (English) Zbl 07733786 SIAM J. Math. Anal. 55, No. 4, 4089-4139 (2023). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35Q15 35Q51 37K15 37K40 35C08 35B40 35P25 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., SIAM J. Math. Anal. 55, No. 4, 4089--4139 (2023; Zbl 07733786) Full Text: DOI
Ablowitz, Mark J.; Been, Joel B.; Carr, Lincoln D. Fractional integrable and related discrete nonlinear Schrödinger equations. (English) Zbl 1515.81129 Phys. Lett., A 452, Article ID 128459, 8 p. (2022). MSC: 81Q80 35A25 60G22 35Q55 39A12 47E07 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Phys. Lett., A 452, Article ID 128459, 8 p. (2022; Zbl 1515.81129) Full Text: DOI arXiv
Ablowitz, Mark J.; Cole, Justin T. Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators. (English) Zbl 1498.78031 Physica D 440, Article ID 133440, 21 p. (2022). MSC: 78A60 78A50 81V80 35Q55 35Q41 35C08 82C20 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{J. T. Cole}, Physica D 440, Article ID 133440, 21 p. (2022; Zbl 1498.78031) Full Text: DOI
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H.; Zhu, Yi Integrable nonlocal derivative nonlinear Schrödinger equations. (English) Zbl 1490.35386 Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022). MSC: 35Q55 35Q15 37K10 37K15 37K40 35C08 35B40 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022; Zbl 1490.35386) Full Text: DOI
Ablowitz, Mark J.; Musslimani, Ziad H. Integrable space-time shifted nonlocal nonlinear equations. (English) Zbl 07411241 Phys. Lett., A 409, Article ID 127516, 6 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{Z. H. Musslimani}, Phys. Lett., A 409, Article ID 127516, 6 p. (2021; Zbl 07411241) Full Text: DOI
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H. Discrete nonlocal nonlinear Schrödinger systems: integrability, inverse scattering and solitons. (English) Zbl 1446.37062 Nonlinearity 33, No. 7, 3653-3707 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 37K15 37K60 39A36 39A12 35Q55 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Nonlinearity 33, No. 7, 3653--3707 (2020; Zbl 1446.37062) Full Text: DOI
Ablowitz, Mark J.; Musslimani, Ziad H. Integrable nonlocal asymptotic reductions of physically significant nonlinear equations. (English) Zbl 1509.35271 J. Phys. A, Math. Theor. 52, No. 15, Article ID 15LT02, 8 p. (2019). MSC: 35Q55 35Q51 35A30 37K10 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{Z. H. Musslimani}, J. Phys. A, Math. Theor. 52, No. 15, Article ID 15LT02, 8 p. (2019; Zbl 1509.35271) Full Text: DOI arXiv
Ablowitz, Mark J.; Feng, Bao-Feng; Luo, Xu-Dan; Musslimani, Ziad H. Reverse space-time nonlocal sine-Gordon/sinh-Gordon equations with nonzero boundary conditions. (English) Zbl 1420.35304 Stud. Appl. Math. 141, No. 3, 267-307 (2018). MSC: 35Q53 37K15 35P25 35C08 37K10 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Stud. Appl. Math. 141, No. 3, 267--307 (2018; Zbl 1420.35304) Full Text: DOI
Ablowitz, M. J.; Feng, Bao-Feng; Luo, Xu-Dan; Musslimani, Z. H. Inverse scattering transform for the nonlocal reverse space-time nonlinear Schrödinger equation. (English. Russian original) Zbl 1408.35169 Theor. Math. Phys. 196, No. 3, 1241-1267 (2018); translation from Teor. Mat. Fiz. 196, No. 3, 343-372 (2018). MSC: 35Q55 35Q53 37K15 81Q15 81U40 35A22 35C08 35P25 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Theor. Math. Phys. 196, No. 3, 1241--1267 (2018; Zbl 1408.35169); translation from Teor. Mat. Fiz. 196, No. 3, 343--372 (2018) Full Text: DOI
Feng, Bao-Feng; Luo, Xu-Dan; Ablowitz, Mark J.; Musslimani, Ziad H. General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions. (English) Zbl 1406.37049 Nonlinearity 31, No. 12, 5385-5409 (2018). MSC: 37K10 37K15 35Q51 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., Nonlinearity 31, No. 12, 5385--5409 (2018; Zbl 1406.37049) Full Text: DOI arXiv
Ablowitz, M. J.; Luo, X.-D.; Cole, J. T. Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues. (English) Zbl 1410.35163 J. Math. Phys. 59, No. 9, 091406, 13 p. (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35C08 37K15 81Q05 35P05 81U40 35R30 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Math. Phys. 59, No. 9, 091406, 13 p. (2018; Zbl 1410.35163) Full Text: DOI arXiv
Ablowitz, Mark J.; Biondini, Gino; Rumanov, Igor Whitham modulation theory for \((2+1)\)-dimensional equations of Kadomtsev-Petviashvili type. (English) Zbl 1397.37069 J. Phys. A, Math. Theor. 51, No. 21, Article ID 215501, 28 p. (2018). MSC: 37K10 35Q53 35Q35 35L67 76L05 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Phys. A, Math. Theor. 51, No. 21, Article ID 215501, 28 p. (2018; Zbl 1397.37069) Full Text: DOI arXiv
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H. Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions. (English) Zbl 1383.35204 J. Math. Phys. 59, No. 1, 011501, 42 p. (2018). MSC: 35Q55 35C08 35Q15 35P25 37K10 37K15 81Q05 81R12 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Math. Phys. 59, No. 1, 011501, 42 p. (2018; Zbl 1383.35204) Full Text: DOI arXiv Link
Ablowitz, Mark J.; Biondini, Gino; Wang, Qiao Whitham modulation theory for the Kadomtsev-Petviashvili equation. (English) Zbl 1404.35382 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2204, Article ID 20160695, 23 p. (2017). MSC: 35Q53 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2204, Article ID 20160695, 23 p. (2017; Zbl 1404.35382) Full Text: DOI arXiv
Ablowitz, Mark J.; Ma, Yi-Ping; Rumanov, Igor A universal asymptotic regime in the hyperbolic nonlinear Schrödinger equation. (English) Zbl 1369.74052 SIAM J. Appl. Math. 77, No. 4, 1248-1268 (2017). MSC: 74J30 76B15 78A60 78A40 78M35 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., SIAM J. Appl. Math. 77, No. 4, 1248--1268 (2017; Zbl 1369.74052) Full Text: DOI arXiv
Ablowitz, M. J.; Zhu, Y. Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices. (English) Zbl 1338.37108 Stud. Appl. Math. 131, No. 1, 41-71 (2013). MSC: 37K60 35Q55 37N20 81U30 37M05 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{Y. Zhu}, Stud. Appl. Math. 131, No. 1, 41--71 (2013; Zbl 1338.37108) Full Text: DOI
Chakravarty, Sarbarish; Ablowitz, Mark J. Parameterizations of the Chazy equation. (English) Zbl 1217.34136 Stud. Appl. Math. 124, No. 2, 105-135 (2010). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 11F11 PDFBibTeX XMLCite \textit{S. Chakravarty} and \textit{M. J. Ablowitz}, Stud. Appl. Math. 124, No. 2, 105--135 (2010; Zbl 1217.34136) Full Text: DOI arXiv
Haut, T. S.; Ablowitz, M. J. A reformulation and applications of interfacial fluids with a free surface. (English) Zbl 1181.76042 J. Fluid Mech. 631, 375-396 (2009). MSC: 76B70 PDFBibTeX XMLCite \textit{T. S. Haut} and \textit{M. J. Ablowitz}, J. Fluid Mech. 631, 375--396 (2009; Zbl 1181.76042) Full Text: DOI
Ablowitz, M. J.; Haut, T. S. Spectral formulation of the two-fluid Euler equations with a free interface and long-wave reductions. (English) Zbl 1154.76015 Anal. Appl., Singap. 6, No. 4, 323-348 (2008). MSC: 76B55 76B25 35Q51 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{T. S. Haut}, Anal. Appl., Singap. 6, No. 4, 323--348 (2008; Zbl 1154.76015) Full Text: DOI
Hoefer, M. A.; Ablowitz, M. J. Interactions of dispersive shock waves. (English) Zbl 1131.35077 Physica D 236, No. 1, 44-64 (2007). MSC: 35Q55 76L05 82D50 78A60 PDFBibTeX XMLCite \textit{M. A. Hoefer} and \textit{M. J. Ablowitz}, Physica D 236, No. 1, 44--64 (2007; Zbl 1131.35077) Full Text: DOI
Ablowitz, M. J.; Prinari, B.; Trubatch, A. D. Discrete vector solitons: Composite solitons, Yang-Baxter maps and computation. (English) Zbl 1145.37332 Stud. Appl. Math. 116, No. 1, 97-133 (2006). MSC: 37K40 35Q51 35Q55 37K10 37K15 37K60 81R12 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Stud. Appl. Math. 116, No. 1, 97--133 (2006; Zbl 1145.37332) Full Text: DOI
Prinari, Barbara; Ablowitz, Mark J.; Biondini, Gino Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions. (English) Zbl 1112.37070 J. Math. Phys. 47, No. 6, 063508, 33 p. (2006). MSC: 37K15 34A55 34L25 35P25 35Q55 35R30 81U40 PDFBibTeX XMLCite \textit{B. Prinari} et al., J. Math. Phys. 47, No. 6, 063508, 33 p. (2006; Zbl 1112.37070) Full Text: DOI
Ablowitz, Mark; Bakırtaş, İlkay; Ilan, Boaz Wave collapse in a class of nonlocal nonlinear Schrödinger equations. (English) Zbl 1080.35132 Physica D 207, No. 3-4, 230-253 (2005). MSC: 35Q55 78A60 PDFBibTeX XMLCite \textit{M. Ablowitz} et al., Physica D 207, No. 3--4, 230--253 (2005; Zbl 1080.35132) Full Text: DOI
Ablowitz, M. J.; Chakravarty, S.; Halburd, R. G. Integrable systems and reductions of the self-dual Yang-Mills equations. (English) Zbl 1062.70050 J. Math. Phys. 44, No. 8, 3147-3173 (2003). MSC: 70S15 35Q51 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Math. Phys. 44, No. 8, 3147--3173 (2003; Zbl 1062.70050) Full Text: DOI
Ablowitz, Mark J.; Musslimani, Ziad H. Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: a unified approach. (English) Zbl 1030.78007 Physica D 184, No. 1-4, 276-303 (2003). MSC: 78A50 78A60 74J30 35Q51 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{Z. H. Musslimani}, Physica D 184, No. 1--4, 276--303 (2003; Zbl 1030.78007) Full Text: DOI
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David On integrability and chaos in discrete systems. (English) Zbl 1160.37413 Chaos Solitons Fractals 11, No. 1-3, 159-169 (2000). MSC: 37K60 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Chaos Solitons Fractals 11, No. 1--3, 159--169 (2000; Zbl 1160.37413) Full Text: DOI arXiv
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David On discretizations of the vector nonlinear Schrödinger equation. (English) Zbl 0938.35174 Phys. Lett., A 253, No. 5-6, 287-304 (1999). MSC: 35Q55 37K60 65M06 35A35 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Phys. Lett., A 253, No. 5--6, 287--304 (1999; Zbl 0938.35174) Full Text: DOI arXiv
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M. On the numerical solution of the sine-Gordon equation. II: Performance of numerical schemes. (English) Zbl 0874.65076 J. Comput. Phys. 131, No. 2, 354-367 (1997). Reviewer: N.Vulchanov (Sofia) MSC: 65M70 65M06 35Q53 65Y20 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Comput. Phys. 131, No. 2, 354--367 (1997; Zbl 0874.65076) Full Text: DOI
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M. The nonlinear Schrödinger equation: Asymmetric perturbations, traveling waves and chaotic structures. (English) Zbl 0869.68125 Math. Comput. Simul. 43, No. 1, 3-12 (1997). MSC: 68U20 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Math. Comput. Simul. 43, No. 1, 3--12 (1997; Zbl 0869.68125) Full Text: DOI
Chakravarty, S.; Ablowitz, M. J. Integrability, monodromy evolving deformations, and self-dual Bianchi IX systems. (English) Zbl 0955.83502 Phys. Rev. Lett. 76, No. 6, 857-860 (1996). MSC: 83C20 PDFBibTeX XMLCite \textit{S. Chakravarty} and \textit{M. J. Ablowitz}, Phys. Rev. Lett. 76, No. 6, 857--860 (1996; Zbl 0955.83502) Full Text: DOI
Herbst, B. M.; Varadi, F.; Ablowitz, M. J. Symplectic methods for the nonlinear Schrödinger equation. (English) Zbl 0812.65118 Math. Comput. Simul. 37, No. 4-5, 353-369 (1994). MSC: 65Z05 65L05 35Q55 37J99 PDFBibTeX XMLCite \textit{B. M. Herbst} et al., Math. Comput. Simul. 37, No. 4--5, 353--369 (1994; Zbl 0812.65118) Full Text: DOI
Villarroel, Javier; Ablowitz, Mark J. On the inverse scattering transform of the 2+1 Toda equation. (English) Zbl 0771.35065 Physica D 65, No. 1-2, 48-70 (1993). MSC: 35Q53 58J72 35R30 39A12 PDFBibTeX XMLCite \textit{J. Villarroel} and \textit{M. J. Ablowitz}, Physica D 65, No. 1--2, 48--70 (1993; Zbl 0771.35065) Full Text: DOI
Ablowitz, M. J.; Keiser, J. M.; Takhtadzhyan, L. A. Stable, multi-state, time-reversible cellular automata with rich particle content. (English) Zbl 0787.58022 Quaest. Math. 15, No. 3, 325-343 (1992). MSC: 37B99 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Quaest. Math. 15, No. 3, 325--343 (1992; Zbl 0787.58022) Full Text: DOI
Herbst, B. M.; Ablowitz, Mark J.; Ryan, E. Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation. (English) Zbl 0900.65350 Comput. Phys. Commun. 65, No. 1-3, 137-142 (1991). MSC: 65Z05 35Q53 35Q55 65M12 PDFBibTeX XMLCite \textit{B. M. Herbst} et al., Comput. Phys. Commun. 65, No. 1--3, 137--142 (1991; Zbl 0900.65350) Full Text: DOI
Ragnisco, O.; Santini, P. M.; Chitlaru-Briggs, S.; Ablowitz, M. J. An example of \({\bar \partial}\) problem arising in a finite difference context: Direct and inverse problem for the discrete analog of the equation \(\psi _{xx}+u\psi =\sigma \psi _ y\). (English) Zbl 0655.35058 J. Math. Phys. 28, 777-780 (1987). MSC: 35P05 35Q99 35R10 PDFBibTeX XMLCite \textit{O. Ragnisco} et al., J. Math. Phys. 28, 777--780 (1987; Zbl 0655.35058) Full Text: DOI
Santini, P. M.; Ablowitz, M. J.; Fokas, A. S. On the initial value problem for a class of nonlinear integral evolution equations including the sine-Hilbert equation. (English) Zbl 0637.45007 J. Math. Phys. 28, 2310-2316 (1987). MSC: 45K05 45G05 81U99 PDFBibTeX XMLCite \textit{P. M. Santini} et al., J. Math. Phys. 28, 2310--2316 (1987; Zbl 0637.45007) Full Text: DOI
Ablowitz, Mark J.; Nachman, Adrian I. Multidimensional nonlinear evolution equations and inverse scattering. (English) Zbl 0604.35070 Physica D 18, 223-241 (1986). Reviewer: G.Perla Menzala MSC: 35Q99 35R30 35P25 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{A. I. Nachman}, Physica D 18, 223--241 (1986; Zbl 0604.35070) Full Text: DOI
Degasperis, A.; Santini, P. M.; Ablowitz, M. J. Nonlinear evolution equations associated with a Riemann-Hilbert scattering problem. (English) Zbl 0581.35075 J. Math. Phys. 26, 2469-2472 (1985). MSC: 35Q99 35G20 35P25 PDFBibTeX XMLCite \textit{A. Degasperis} et al., J. Math. Phys. 26, 2469--2472 (1985; Zbl 0581.35075) Full Text: DOI
Satsuma, Junkichi; Taha, Thiab R.; Ablowitz, Mark J. On a Bäcklund transformation and scattering problem for the modified intermediate long wave equation. (English) Zbl 0583.76021 J. Math. Phys. 25, 900-904 (1984). Reviewer: F.J.Wright MSC: 76B25 35Q99 PDFBibTeX XMLCite \textit{J. Satsuma} et al., J. Math. Phys. 25, 900--904 (1984; Zbl 0583.76021) Full Text: DOI
Santini, P. M.; Ablowitz, M. J.; Fokas, A. S. The direct linearization of a class of nonlinear evolution equations. (English) Zbl 0557.35111 J. Math. Phys. 25, 2614-2619 (1984). MSC: 35Q99 35R30 35P25 PDFBibTeX XMLCite \textit{P. M. Santini} et al., J. Math. Phys. 25, 2614--2619 (1984; Zbl 0557.35111) Full Text: DOI
Fokas, A. S.; Ablowitz, M. J. On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane. (English) Zbl 0557.35110 J. Math. Phys. 25, 2494-2505 (1984). MSC: 35Q99 35R30 35P25 35F20 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{M. J. Ablowitz}, J. Math. Phys. 25, 2494--2505 (1984; Zbl 0557.35110) Full Text: DOI
Santini, P. M.; Ablowitz, M. J.; Fokas, A. S. On the limit from the intermediate long wave equation to the Benjamin-Ono equation. (English) Zbl 0543.45008 J. Math. Phys. 25, 892-899 (1984). MSC: 45K05 35Q99 76B15 PDFBibTeX XMLCite \textit{P. M. Santini} et al., J. Math. Phys. 25, 892--899 (1984; Zbl 0543.45008) Full Text: DOI
Taha, Thiab R.; Ablowitz, Mark J. Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation. (English) Zbl 0541.65082 J. Comput. Phys. 55, 203-230 (1984). MSC: 65Z05 65N22 35Q99 35K60 PDFBibTeX XMLCite \textit{T. R. Taha} and \textit{M. J. Ablowitz}, J. Comput. Phys. 55, 203--230 (1984; Zbl 0541.65082) Full Text: DOI
Fokas, A. S.; Ablowitz, M. J. On the initial value problem of the second Painleve transcendent. (English) Zbl 0524.35094 Commun. Math. Phys. 91, 381-403 (1983). MSC: 35Q99 35Q15 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{M. J. Ablowitz}, Commun. Math. Phys. 91, 381--403 (1983; Zbl 0524.35094) Full Text: DOI
Fokas, A. S.; Ablowitz, M. J. On a unified approach to transformations and elementary solutions of Painleve equations. (English) Zbl 0504.34022 J. Math. Phys. 23, 2033-2042 (1982). MSC: 34C20 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{M. J. Ablowitz}, J. Math. Phys. 23, 2033--2042 (1982; Zbl 0504.34022) Full Text: DOI
Segur, Harvey; Ablowitz, Mark J. Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent. (English) Zbl 1194.35388 Physica D 3, No. 1-2, 165-184 (1981). MSC: 35Q53 PDFBibTeX XMLCite \textit{H. Segur} and \textit{M. J. Ablowitz}, Physica D 3, No. 1--2, 165--184 (1981; Zbl 1194.35388) Full Text: DOI
Ablowitz, Mark J. Remarks on nonlinear evolution equations and ordinary differential equations of Painlevé type. (English) Zbl 1194.34168 Physica D 3, No. 1-2, 129-141 (1981). MSC: 34M55 PDFBibTeX XMLCite \textit{M. J. Ablowitz}, Physica D 3, No. 1--2, 129--141 (1981; Zbl 1194.34168) Full Text: DOI
Ablowitz, M. J.; Segur, H. Long internal waves in fluids of great depth. (English) Zbl 0447.76013 Stud. Appl. Math. 62, 249-262 (1980). MSC: 76B25 76B55 76E30 35Q99 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{H. Segur}, Stud. Appl. Math. 62, 249--262 (1980; Zbl 0447.76013) Full Text: DOI
Ablowitz, M. J.; Ramani, A.; Segur, H. A connection between nonlinear evolution equations and ordinary differential equations of P-type. II. (English) Zbl 0445.35057 J. Math. Phys. 21, 1006-1015 (1980). MSC: 35G10 35K25 35A99 34A99 35A22 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Math. Phys. 21, 1006--1015 (1980; Zbl 0445.35057) Full Text: DOI
Ablowitz, M. J.; Ramani, A.; Segur, H. A connection between nonlinear evolution equations and ordinary differential equations of P-type. I. (English) Zbl 0445.35056 J. Math. Phys. 21, 715-721 (1980). MSC: 35G10 35K25 35A99 34A99 35A22 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Math. Phys. 21, 715--721 (1980; Zbl 0445.35056) Full Text: DOI
Ablowitz, Mark J.; Kruskal, Martin; Segur, Harvey A note on Miura’s transformation. (English) Zbl 0425.35005 J. Math. Phys. 20, 999-1003 (1979). MSC: 35A30 35Q53 34M55 37K35 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Math. Phys. 20, 999--1003 (1979; Zbl 0425.35005) Full Text: DOI
Satsuma, J.; Ablowitz, M. J. Two-dimensional lumps in nonlinear dispersive systems. (English) Zbl 0422.35014 J. Math. Phys. 20, 1496-1503 (1979). MSC: 35B99 35Q99 PDFBibTeX XMLCite \textit{J. Satsuma} and \textit{M. J. Ablowitz}, J. Math. Phys. 20, 1496--1503 (1979; Zbl 0422.35014) Full Text: DOI
Ablowitz, Mark J.; Segur, Harvey On the evolution of packets of water waves. (English) Zbl 0413.76009 J. Fluid Mech. 92, 691-715 (1979). MSC: 76B15 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{H. Segur}, J. Fluid Mech. 92, 691--715 (1979; Zbl 0413.76009) Full Text: DOI
Ablowitz, Mark J. Lectures on the inverse scattering transform. (English) Zbl 0384.35019 Studies Appl. Math. 58, 17-94 (1978). MSC: 35G20 35-02 35A22 35P25 35R10 PDFBibTeX XMLCite \textit{M. J. Ablowitz}, Stud. Appl. Math. 58, 17--94 (1978; Zbl 0384.35019) Full Text: DOI
Ablowitz, M. J.; Ladik, J. F. On the solution of a class of nonlinear partial difference equations. (English) Zbl 0384.35018 Studies Appl. Math. 57, 1-12 (1977). MSC: 35G20 35R10 65M99 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{J. F. Ladik}, Stud. Appl. Math. 57, 1--12 (1977; Zbl 0384.35018) Full Text: DOI
Ablowitz, M. J.; Segur, H. Asymptotic solutions of the Korteweg-deVries equation. (English) Zbl 0369.35055 Studies Appl. Math. 57, 13-44 (1977). MSC: 35Q99 35G20 35B40 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{H. Segur}, Stud. Appl. Math. 57, 13--44 (1977; Zbl 0369.35055) Full Text: DOI
Ablowitz, M. J.; Ladik, J. F. A nonlinear difference scheme and inverse scattering. (English) Zbl 0338.35002 Studies Appl. Math. 55, 213-229 (1976). MSC: 35A35 35R30 35P25 35K55 65M06 47A40 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{J. F. Ladik}, Stud. Appl. Math. 55, 213--229 (1976; Zbl 0338.35002) Full Text: DOI
Ablowitz, M. J.; Ladik, J. F. Nonlinear differential-difference equations and Fourier analysis. (English) Zbl 0322.42014 J. Math. Phys. 17, 1011-1018 (1976). MSC: 42A38 39A10 35R10 35Q99 35R30 35P25 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{J. F. Ladik}, J. Math. Phys. 17, 1011--1018 (1976; Zbl 0322.42014) Full Text: DOI
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey The inverse scattering transform-Fourier analysis for nonlinear problems. (English) Zbl 0408.35068 Studies Appl. Math. 53, 249-315 (1974). MSC: 35P25 35G10 35K25 45K05 35A22 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Stud. Appl. Math. 53, 249--315 (1974; Zbl 0408.35068) Full Text: DOI
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey Nonlinear-evolution equations of physical significance. (English) Zbl 1243.35143 Phys. Rev. Lett. 31, No. 2, 125-127 (1973). MSC: 35Q53 81Q05 37K15 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Phys. Rev. Lett. 31, No. 2, 125--127 (1973; Zbl 1243.35143) Full Text: DOI