Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation

Khadijo Rashid Adem and Chaudry Masood Khalique

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

We study a generalized two-dimensional nonlinear Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation, which is in fact Benjamin-Bona-Mahony equation formulated in the ZK sense. Conservation laws for this equation are constructed by using the new conservation theorem due to Ibragimov and the multiplier method. Furthermore, traveling wave solutions are obtained by employing the -expansion method.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:139513

DOI: 10.1155/2014/139513

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