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2014 Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation
Khadijo Rashid Adem, Chaudry Masood Khalique
Abstr. Appl. Anal. 2014: 1-5 (2014). DOI: 10.1155/2014/139513

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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Khadijo Rashid Adem. Chaudry Masood Khalique. "Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation." Abstr. Appl. Anal. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/139513

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021793
MathSciNet: MR3200767
Digital Object Identifier: 10.1155/2014/139513

Rights: Copyright © 2014 Hindawi

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