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The N-soliton solutions for the non-isospectral mKdV equation

Physica A: Statistical Mechanics and its Applications, 2004
The bilinear form of the non-isospectral mKdV equation is given and the exact N -soliton solutions are obtained through Hirota method and Wronskian technique, respectively ...
Yi Zhang, Shu-fang Deng, Da-jun Zhang, Deng-yuan Chen   +3 more
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N-soliton solutions of a system of coupled KdV equations

Physics Letters A, 1994
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N-soliton solutions in the higher-order nonlinear Schroedinger equation

SPIE Proceedings, 1998
We investigated the possible solutions of the higher order nonlinear Schrodinger (HNLS) equation describing femtosecond optical pulses in an optical fiber system. By using the Hirota direct method, we derived a fundamental solitary wave solution for arbitrary parameters and a N-soliton solution under some conditions.
Zhonghao Li, Guosheng Zhou, Dachun Su
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On soliton solutions of the Kaup–Kupershmidt equation. II. ‘Anomalous’ N-soliton solutions

Physica D: Nonlinear Phenomena, 2000
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N-Soliton Solution of The Kundu-Type Equation Via Riemann-Hilbert Approach

Acta Mathematica Scientia, 2019
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Wen, Lili, Zhang, Ning, Fan, Engui
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Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation in a fluid

Nonlinear dynamics, 2023
Tian-Yu Zhou, Bo Tian, Yuan Shen, Xiao-Tian Gao   +3 more
semanticscholar   +1 more source

On N-Soliton Solutions of Coupled Higgs Field Equation

Journal of the Physical Society of Japan, 1983
N-soliton solutions of the coupled Higgs field equation are obtained by Hirota bilinear method.
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Nondegenerate N-soliton solutions for Manakov system

Chaos, Solitons & Fractals, 2022
Yue-Jin Cai, Jian-Wen Wu, Ji Lin
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N-soliton solutions of the KP equation by Exp-function method

Applied Mathematics and Computation, 2012
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GrammianN-soliton solutions of a coupled KdV system

Journal of Physics A: Mathematical and General, 2001
Summary: From the Lax pair and the binary Darboux transformation of a coupled Korteweg-de Vries system, we show that its nonlinear superposition formula is identical to that obtained for the Kaup-Kupershmidt equation. Therefore, the \(N\)-soliton solution can be associated with a determinant of the Gram type.
Verhoeven, Caroline, Musette, Micheline
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