New exact traveling and non-traveling wave solutions for \((2+1)\)-dimensional Burgers equation

DOI10.1016/j.amc.2010.03.126zbMath1195.35266OpenAlexW2027849094MaRDI QIDQ984348

Chuanjian Wang, Zhengde Dai, Songqing Lin

Publication date: 19 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.126

zbMATH Keywords

Burgers equationnon-traveling wave solutionperiodic solitongeneralized direct ansätz method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Traveling wave solutions (35C07) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (4)

Interaction between kink solitary wave and rogue wave for \((2+1)\)-dimensional Burgers equation ⋮ An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers' equation ⋮ An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations ⋮ An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations

Cites Work

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• Periodic kink-wave and kinky periodic-wave solutions for the Jimbo-Miwa equation
• New exact soliton-like solutions and special soliton-like structures of the \((2+1)\)-dimensional Burgers equation
• The novel solutions of auxiliary equation and their application to the \((2 + 1)\)-dimensional Burgers equations
• Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
• A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
• Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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