Results 181 to 190 of about 40,499 (216)

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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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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A new representation of N-soliton solution and limiting solutions for the fifth order KdV equation

Chaos, Solitons & Fractals, 2005
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Zhang, Yi, Chen, Deng-yuan
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A new nonlinear Schrödinger equation, its hierarchy and N-soliton solutions

Physics Letters A, 1984
Abstract We consider a new spectral problem for which we show some of its associated nonlinear evolution equations, together with its Backlund transformations. As a reduction we obtain a new nonlinear Schrodinger equation. At the end, taking into account the transformation properties of this spectral problem we are able to recover the N-soliton ...
D. Levi, G. Neugebauer, R. Meinel
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N-soliton solutions for the integrable bidirectional sixth-order Sawada–Kotera equation

Applied Mathematics and Computation, 2010
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