SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS

DOI10.1142/S021812741250188XzbMath1258.35177MaRDI QIDQ4907015

Hanze Liu, Lei Liu, Ji-Bin Li

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

exact analytic solutionconservation lawmultipliergeneralized KdV equationsymmetry classification

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (8)

Complete Group Classification and Exact Solutions to the Generalized Short Pulse Equation ⋮ Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations ⋮ Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations ⋮ Painlevé test, complete symmetry classifications and exact solutions to R-D types of equations ⋮ Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations ⋮ A novel Lie group classification method for generalized cylindrical KdV type of equation: exact solutions and conservation laws ⋮ Bifurcations and Exact Solitary Wave, Compacton and Pseudo-Peakon Solutions in a Modified Generalized KdV Equation ⋮ Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations

Cites Work

• Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations
• The exact analytic solutions of a nonlinear differential iterative equation
• Lie symmetries, conservation laws and exact solutions for two rod equations
• Lie symmetry analysis and exact solutions for the extended mKdV equation
• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Applications of symmetry methods to partial differential equations
• Symmetry and integration methods for differential equations
• Exact and explicit analytic solutions of an extended Jabotinsky functional differential equation

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