Obliquely propagating skew KP lumps

Wave Motion - Tập 64 - Trang 92-102 - 2016
Niharika Singh1, Yury Stepanyants1
1University of Southern Queensland, Toowoomba, Australia

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Tài liệu tham khảo

Ablowitz, 1981

Petviashvili, 1989

Petviashvili, 1976, Equation of an extraordinary soliton, Soviet J. Plasma Phys., 2, 257

Pelinovsky, 2004, Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations, SIAM J. Numer. Anal., 42, 1110, 10.1137/S0036142902414232

Manakov, 1977, Two-dimensional solitons of the Kadomtsev–Petviashvili equation and their interaction, Phys. Lett. A., 63, 205, 10.1016/0375-9601(77)90875-1

Ablowitz, 1978, Solitons and rational solutions of nonlinear evolution equations, J. Math. Phys., 19, 2180, 10.1063/1.523550

Lu, 2004, Interaction of two lump solitons described by the Kadomtsev–Petviashvili I equation, Wave Motion, 40, 95, 10.1016/j.wavemoti.2003.12.017

Ma, 2015, Lump solutions to the Kadomtsev–Petviashvili equation, Phys. Lett. A, 379, 1975, 10.1016/j.physleta.2015.06.061

Pelinovsky, 1993, New multisoliton solutions of the Kadomtsev–Petviashvili equation, JETP Lett., 57, 24

Gorshkov, 1993, Normal and anomalous scattering, formation and decay of bound-states of two-dimensional solitons described by the Kadomtsev–Petviashvili equation, J. Exp. Theor. Phys., 77, 237

Ma, 2015, Lump solutions to dimensionally reduced p-gKP and p-gBKP equations, Nonlinear Dynam., 1

Zhang, 2015, Rational solutions to a KdV-like equation, Appl. Math. Comput., 256, 252, 10.1016/j.amc.2015.01.027

Karpman, 1973

Abramyan, 1985, The structure of two-dimensional solitons in media with anomalously small dispersion, Sov. Phys.—JETP, 61, 963

Falcon, 2002, Observation of depression solitary surface waves on a thin fluid layer, Phys. Rev. Lett., 89, 4, 10.1103/PhysRevLett.89.204501

Pelinovsky, 1995, Self-focusing of plane dark solitons in nonlinear defocusing media, Phys. Rev. E, 51, 5016, 10.1103/PhysRevE.51.5016

Mironov, 2010, Structure of vortex shedding past potential barriers moving in a Bose–Einstein condensate, J. Exp. Theor. Phys., 110, 877, 10.1134/S1063776110050195

Tauchert, 1972, An experimental study of dispersion of stress waves in a fiber-reinforced composite, Trans. ASME E, 39, 98, 10.1115/1.3422677

Berger, 2000, The generation and evolution of lump solitary waves in surface-tension-dominated flows, SIAM J. Appl. Math., 61, 731, 10.1137/S0036139999356971

Kuznetsov, 1982, Two- and three-dimensional solitons in weakly dispersive media, J. Exp. Theor. Phys., 55, 844

Gorshkov, 1981, Interaction of solitons in nonintegrable systems: direct perturbation method and applications, Physica D, 3, 428, 10.1016/0167-2789(81)90146-9

Ablowitz, 1997, Solutions to the time dependent Schrödinger and the Kadomtsev–Petviashvili equations, Phys. Rev. Lett., 78, 570, 10.1103/PhysRevLett.78.570