Similarity reduction and explicit solutions for the variable-coefficient coupled Burger's equations

DOI10.1016/j.amc.2010.10.034zbMath1205.35263OpenAlexW2069742954MaRDI QIDQ618120

Na Liu

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.034

zbMATH Keywords

symmetryexplicit solutionoptimal systemvariable-coefficient coupled Burger's equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Methods of ordinary differential equations applied to PDEs (35A24) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

A study of an extended generalized \((2+1)\)-dimensional Jaulent-Miodek equation ⋮ On explicit exact solutions and conservation laws for time fractional variable -- coefficient coupled Burger's equations ⋮ Symmetry reductions and exact solutions of the \((2+1)\)-dimensional Jaulent-Miodek equation ⋮ Numerical solutions of the coupled Burgers’ equation by the Galerkin quadratic B-spline finite element method

Cites Work

• Variational iteration method for solving Burgers and coupled Burgers equations
• Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences
• Conservation laws for a complexly coupled KdV system, coupled Burgers system and Drinfeld-Sokolov-Wilson system via multiplier approach
• Symmetry and similarity solutions of variable coefficients generalized Zakharov-Kuznetsov equation
• The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
• New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation

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