Travelling wave solutions of some classes of nonlinear evolution equations in \((1+1)\) and \((2+1)\) dimensions

DOI10.1016/S0377-0427(01)00482-4zbMath0997.35078MaRDI QIDQ1602791

R. Smith

Publication date: 24 June 2002

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

zbMATH Keywords

solitary wavesnonlinear evolution equationstravelling wave solutionstanh series solution method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Abstract hyperbolic equations (35L90)

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Cites Work

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• Exact solutions for some coupled nonlinear equations. II
• New spiky solitary waves, explosive modes and periodic progressive waves in a magnetised plasma
• Series solution of nonlinear coupled reaction-diffusion equations
• Approximate solution of the damped Burgers equation
• The tanh method: II. Perturbation technique for conservative systems
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations

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