New explicit traveling wave solutions for three nonlinear evolution equations

DOI10.1016/J.AMC.2009.07.010zbMath1203.35249OpenAlexW2015061922MaRDI QIDQ609341

Jian-Ping Wu

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.010

zbMATH Keywords

extended tanh-function methodnonlinear evolution equationstraveling wave solutioncoupled KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Traveling wave solutions (35C07) Polynomial solutions to PDEs (35C11)

Related Items (5)

Solutions of Kadomtsev-Petviashvili equation with power law nonlinearity in 1+3 dimensions ⋮ Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation ⋮ Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities ⋮ Invariance properties, conservation laws, and soliton solutions of the time-fractional \((2+1)\)-dimensional new coupled ZK system in magnetized dusty plasmas ⋮ Exact explicit solutions and conservation laws for a coupled Zakharov-Kuznetsov system

Uses Software

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Cites Work

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• \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
• Exact solutions for a compound KdV-Burgers equation
• A finite-dimensional integrable system related to a new coupled KdV hierarchy
• 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
• Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
• The inverse scattering transform: Semi-infinite interval
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations

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