## Abstract and Applied Analysis

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

#### 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 $(G\mathrm{\text{'}}/G)$-expansion method.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 139513, 5 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412276932

Digital Object Identifier
doi:10.1155/2014/139513

Mathematical Reviews number (MathSciNet)
MR3200767

Zentralblatt MATH identifier
07021793

#### Citation

Adem, Khadijo Rashid; Khalique, Chaudry Masood. Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation. Abstr. Appl. Anal. 2014 (2014), Article ID 139513, 5 pages. doi:10.1155/2014/139513. https://projecteuclid.org/euclid.aaa/1412276932

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