Lie symmetry reductions and exact solutions of a coupled KdV-Burgers equation

DOI10.1016/j.amc.2014.01.044zbMath1298.35184OpenAlexW2014298872MaRDI QIDQ470832

Cuncai Hua, Shaojie Yang

Publication date: 13 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.044

zbMATH Keywords

Lie groupsimilarity solutionssolitary wave solutionscoupled KdV-Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

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Uses Software

• Maple

Cites Work

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• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Lie group classifications and exact solutions for two variable-coefficient equations
• Similarity methods for differential equations
• 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
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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