On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations
type: Item
instance of: scholarly article
title: On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations
zbMATH Open document ID: 1221.35363
author: Yaliang Shen
author: Yueping Zhu
author: Nan-Bin Cao
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-09-30T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 5952782
zbMATH Keywords: symbolic computation
zbMATH Keywords: newly extended tanh-function expansion method
zbMATH Keywords: non-travelling wave solution
zbMATH Keywords: soliton-like solution
MaRDI profile type: Publication
full work available at URL: j.cnsns.2008.01.002
OpenAlex ID: W1981673101
cites work: Q4002235
cites work: Darboux transformation and solutions for an equation in 2+1 dimensions
cites work: delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation
cites work: The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
cites work: Algebro-geometric solutions of the Harry Dym equation
cites work: Variational approach to \((2+1)\)-dimensional dispersive long water equations
cites work: AUTO-BÄCKLUND TRANSFORMATION AND NEW EXACT SOLUTIONS OF THE (2 + 1)-DIMENSIONAL NIZHNIK–NOVIKOV–VESELOV EQUATION
cites work: Exp-function method for nonlinear wave equations
cites work: Q4273954
cites work: Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
cites work: Q5289974
cites work: New exact solutions for some nonlinear differential equations using symbolic computation.
cites work: Single and multi-solitary wave solutions to a class of nonlinear evolution equations
cites work: Spectral transform for a two spatial dimension extension of the dispersive long wave equation
cites work: New constraint on the KP equation and a coupled Burgers system
cites work: Infinitely many Lax pairs and symmetry constraints of the KP equation
cites work: Variational approach to the Broer-Kaup-Kupershmidt equation
cites work: A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system
cites work: Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations
cites work: Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
cites work: The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
DOI: 10.1016/J.CNSNS.2008.01.002
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description: scientific article; zbMATH DE number 5952782