Discrete version of the modified Korteweg-De Vries equation withx-dependent coefficients (original) (raw)

From single- to multiple-soliton solutions of the perturbed KdV equation

Yair Zarmi

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Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation

Sandra Carillo

Nonlinear Dynamics of Structures, Systems and Devices, 2020

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Analysis and classification of nonlinear dispersive evolution equations in the potential representation

Andrei Ludu

Journal of Physics A: Mathematical and General, 2002

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On the generation of solitons and breathers in the modified Korteweg–de Vries equation

Efim Pelinovsky, Roger Grimshaw

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000

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An extended Korteweg–de Vries equation: multi-soliton solutions and conservation laws

Yakup yıldırım

Nonlinear Dynamics, 2017

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Construction of soliton solutions of the matrix modified Korteweg-de Vries equation

Sandra Carillo

2020

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Soliton-like solutions of higher order wave equations of the Korteweg–de Vries type

Efstratios Tzirtzilakis

Journal of Mathematical Physics, 2002

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Dispersion management for solitons in a Korteweg–de Vries system

Boris Malomed

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2002

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Discrete version of the nonlinear Schrödinger equation with linearlyx-dependent coefficients

Orlando Ragnisco

Il Nuovo Cimento A, 1979

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Propagation of nonlinear waves with a weak dispersion via coupled (2+1)$$-dimensional Konopelchenko–Dubrovsky dynamical equation

David Yaro

Pramana, 2019

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Soliton solution of korteweg-de vries equation

rajib bhowmik

2019

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Generation of large-amplitude solitons in the extended Korteweg–de Vries equation

Efim Pelinovsky, Roger Grimshaw

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2002

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Oscillatory solitons of U(1)-invariant mKdV equations II: Asymptotic behavior and constants of motion

Abdus Sattar Mia

2015

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Dynamics of solitons of the nonlinear dispersion Drinfel’d-Sokolov system by ansatz method and He’s varitional principle

Fairouz Tchier

Revista Mexicana De Fisica, 2017

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An Introduction to Wave Equations and Solitons

Richard Palais

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Analytical and Numerical Computations of Multi-Solitons in the Korteweg-de Vries (KdV) Equation

Godwin Ibeh

Applied Mathematics

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Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods

Aly Seadawy

Advances in Difference Equations, 2018

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Two-component description of dynamical systems that can be approximated by solitons: The case of the perturbed focusing mKdV equation

Yair Zarmi

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Oscillatory Solitons of U(1)-INVARIANT MKDV Equations I: Envelope Speed and Temporal Frequency

Abdus Sattar Mia

2016

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A class of nondispersive evolution equations with solitary wave solutions

Syed Afsar Abbas

Letters in Mathematical Physics, 1982

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Soliton Perturbation Theory for the Compound KdV Equation

Swapan Konar

International Journal of Theoretical Physics, 2007

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Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

Khaled Gepreel

Abstract and Applied Analysis, 2013

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Cnoidal wave, snoidal wave, and soliton solutions of the D(m,n) equation

Ghodrat Ebadi

Arabian Journal of Mathematics, 2012

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On the calculation of the timing shifts in the variable-coefficient Korteweg-de Vries equation

Thiab Taha

Mathematics and Computers in Simulation, 2009

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Soliton dynamics in the complex modified KdV equation with a periodic potential

Boris Malomed

Physica D: Nonlinear Phenomena, 2007

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On a hierarchy of nonlinearly dispersive generalized KdV equations

Ivan C Christov

2015

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On the (generalized) Korteweg-de Vries equation

Luis Vega

Duke Mathematical Journal, 1989

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