Conservation laws and traveling wave solutions of a generalized nonlinear ZK-BBM equation

Khadijo Rashid Adem; Chaudry Masood Khalique

doi:10.1155/2014/139513

Conservation laws and traveling wave solutions of a generalized nonlinear ZK-BBM equation

Khadijo Rashid Adem
, Chaudry Masood Khalique^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Article number	139513
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/139513
Publication status	Published - 2014
Externally published	Yes

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title = "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 ' / G) -expansion method.",

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AU - Adem, Khadijo Rashid

AU - Khalique, Chaudry Masood

PY - 2014

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84901008606

U2 - 10.1155/2014/139513

DO - 10.1155/2014/139513

M3 - Article

AN - SCOPUS:84901008606

SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 139513

ER -

Conservation laws and traveling wave solutions of a generalized nonlinear ZK-BBM equation

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