New explicit solutions of the nonlinear wave equations with damping term
type: Item
instance of: scholarly article
title: New explicit solutions of the nonlinear wave equations with damping term
zbMATH Open document ID: 1193.35107
author: Hongxia Wu
author: Tianyou Fan
published in: Applied Mathematics and Computation
publication date: 2010-09-01T00:00:00Z
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 5776967
zbMATH Keywords: wave equation with damping term
zbMATH Keywords: similarity reductions
zbMATH Keywords: real solitary wave solution
zbMATH Keywords: complex solitary wave solution
MaRDI profile type: Publication
full work available at URL: j.amc.2007.02.111
OpenAlex ID: W1999637002
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Nonlinear-evolution equations of physical significance
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cites work: Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
cites work: Exact solutions of the Burgers-Huxley equation
cites work: Q4002235
cites work: Q4002726
cites work: Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
cites work: Q5581041
cites work: Non-classical symmetry reduction: example of the Boussinesq equation
cites work: New similarity reductions of the Boussinesq equation
cites work: Nonclassical symmetry reductions for the dispersive wave equations in shallow water
cites work: A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
cites work: Q4489616
cites work: Q3063466
cites work: The Painlevé property for partial differential equations
cites work: Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
cites work: Exact solutions of the nonlinear wave equations arising in mechanics
cites work: An improved algebra method and its applications in nonlinear wave equations
cites work: Extended tanh-function method and its applications to nonlinear equations
cites work: Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
cites work: Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
cites work: Fractional transformation and new solutions to mKdV equation
cites work: New applications of developed Jacobi elliptic function expansion methods
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cites work: New solitary wave solutions with compact support for the KdV-like \(K\)(\(m\), \(n\)) equations with fully nonlinear dispersion
cites work: New exact special solutions with solitary patterns for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion
DOI: 10.1016/J.AMC.2007.02.111
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description: scientific article; zbMATH DE number 5776967