Conservation laws and traveling wave solutions of a generalized Nonlinear ZK-BBM equation
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Adem, Khadijo Rashid
Khalique, Chaudry Masood
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Hindawi publishing corporation
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 (G'/G)-expansion method
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Adem, Khadijo Rashid & Khalique, Chaudry Masood. 2014. Conservation laws and traveling wave solutions of a generalized Nonlinear ZK-BBM equation. Abstract and Applied Analysis, 2014 (2014):1-5. [http://www.hindawi.com/journals/aaa/2014/139513/]