Results 231 to 240 of about 902,254 (275)

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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Resonant soliton and complexiton solutions for (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Computers and Mathematics with Applications, 2018
In this letter, the linear superposition principle is used to discuss the ( 3 + 1 ) -dimensional Boiti–Leon–Manna–Pempinelli equation with bilinear derivatives.
Jiangen Liu, Yufeng Zhang, Iqbal Muhammad   +2 more
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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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Resonance Y-type soliton and hybrid solutions of a (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

Applied Mathematics Letters, 2021
Zhonglong Zhao, Lingchao He
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The N-soliton solutions of some soliton equations with self-consistent sources

Chaos, Solitons & Fractals, 2003
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Resonance $$\varvec{Y}$$-type soliton, hybrid and quasi-periodic wave solutions of a generalized $$\varvec{(2+1)}$$-dimensional nonlinear wave equation

Nonlinear dynamics, 2021
Lingchao He, Jian-Wen Zhang, Zhonglong Zhao   +2 more
semanticscholar   +1 more source

N-SOLITON SOLUTIONS AND CONSERVATION LAWS OF THE MODIFIED TODA LATTICE EQUATION

Modern Physics Letters B, 2012
The modified Toda lattice equation is investigated via Darboux transformation (DT) technique, the N-fold DT is constructed based on its Lax representation. The N-soliton solutions are also derived via the resulting N-fold DT. Soliton structures and interaction behavior of those solutions are shown graphically. Finally, the infinitely many conservation
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Decoupling of the N-soliton solution for a new discrete MKdV equation

Chaos, Solitons & Fractals, 1994
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Bäcklund Transformation and N‐Soliton Solution for the Generalized Nonlinear Schrödinger Equation

Annalen der Physik, 1987
AbstractFor the generalized nonlinear Schrödinger equation, the N‐fold Bäcklund transformation is derived. As particular results, the explicit 1‐soliton solution is obtained and the interaction of two solitons is discussed.
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