Exact Solutions and Conservation Laws of a Two-Dimensional Integrable Generalization of the Kaup-Kupershmidt Equation

Abdullahi Rashid Adem and Chaudry Masood Khalique

Journal of Applied Mathematics, 2013, vol. 2013, 1-6

Abstract:

We study a two-dimensional integrable generalization of the Kaup-Kupershmidt equation, which arises in various problems in mathematical physics. Exact solutions are obtained using the Lie symmetry method in conjunction with the extended tanh method and the extended Jacobi elliptic function method. In addition to exact solutions we also present conservation laws which are derived using the multiplier approach.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:647313

DOI: 10.1155/2013/647313

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