On a certain class of a nonlinear evolution partial differential equations

DOI10.1016/j.cam.2007.06.022zbMath1146.35386OpenAlexW1984088802MaRDI QIDQ929916

H. A. Abdusalam, Said Mesloub

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.06.022

zbMATH Keywords

soliton solutionsFisher equationexact travelling wave solutionstanh-function method

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Solutions to PDEs in closed form (35C05)

Uses Software

• RATH
• ATFM

Cites Work

• RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations
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• On an improved complex tanh-function method
• Mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator
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• Extended tanh-function method and its applications to nonlinear equations
• MULTIPLE SOLITON SOLUTIONS FOR THE NAGUMO EQUATION AND THE MODIFIED GENERAL BURGERS-FISHER EQUATION
• The tanh method: II. Perturbation technique for conservative systems
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
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