EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS WITH NONLINEAR TERMS OF ANY ORDER

DOI10.1142/S0129183103004243zbMath1079.35508OpenAlexW2116792874MaRDI QIDQ5715620

Yong Chen, Biao Li, Hong-Qing Zhang

Publication date: 4 January 2006

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183103004243

zbMATH Keywords

periodic solutionsrational solutionstanh methodbell profilekink profile

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Initial value problems for nonlinear higher-order PDEs (35G25) Solutions to PDEs in closed form (35C05)

Related Items (3)

Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation ⋮ EXACT SOLUTIONS FOR DIFFERENTIAL-DIFFERENCE EQUATIONS BY BÄCKLUND TRANSFORMATION OF RICCATI EQUATION ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids

Cites Work

• Exploratory approach to explicit solution of nonlinear evolution equations
• New exact solutions to a solutions to a system of coupled KdV equations
• Exact solutions for a compound KdV-Burgers equation
• A note on the homogeneous balance method
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Extended tanh-function method and its applications to nonlinear equations
• Solitary wave solutions of the generalised Burgers-Huxley equation
• Travelling wave solutions to nonlinear evolution and wave equations
• A new complex line soliton for the two-dimensional KdV-Burgers equation
• New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations

This page was built for publication: EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS WITH NONLINEAR TERMS OF ANY ORDER