Symmetry reductions and similarity solutions of the \((3+1)\)-dimensional breaking soliton equation

DOI10.1016/J.AMC.2007.12.027zbMath1154.35444OpenAlexW2023693229MaRDI QIDQ945255

Zhi-Lian Yan, Xi-Qiang Liu, Jian-Ping Zhou

Publication date: 12 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.12.027

zbMATH Keywords

symmetrysimilarity solutionbreaking soliton equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (3)

Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation ⋮ Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method ⋮ New similarity solutions of a generalized variable-coefficient Gardner equation with forcing term

Cites Work

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• Symmetry and similarity solutions of variable coefficients generalized Zakharov-Kuznetsov equation
• The direct symmetry method and its application in variable coefficients Schrödinger equation
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Exact solutions for some coupled nonlinear equations. II
• Exact solitary waves in a convecting fluid
• New Multiple Soliton-like Solutions to (3+1)-Dimensional Burgers Equation with Variable Coefficients
• Abundant Multisoliton Structure of (3+1)-Dimensional Breaking Soliton Equation
• High-dimensional Virasoro integrable models and exact solutions

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