Lie symmetry analysis and exact solutions of two-component Camassa-Holm equation

doi:10.7523/j.issn.2095-6134.2016.04.004

Abstract

Abstract:

Using the Lie group analysis method, we study the two-component Camassa-Holm equation, which models shallow water waves moving over a linear shear flow.The similarity reductions and exact solutions for the equation are obtained.Then the power series solution are considered by using the power series method.Furthermore, the convergence of the power series solution to the equation is shown.The physical significance of the solutions is considered from the transformation group's point of view.

Key words: Lie symmetry analysis, two-component Camassa-Holm equation, similarity reduction, exact solution

CLC Number:

TIAN Hongxia, GAO Be. Lie symmetry analysis and exact solutions of two-component Camassa-Holm equation[J]. , 2016, 33(4): 454-461.

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