Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation
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 mu...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/139513 |
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| author | Khadijo Rashid Adem Chaudry Masood Khalique |
| author_facet | Khadijo Rashid Adem Chaudry Masood Khalique |
| author_sort | Khadijo Rashid Adem |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-06f71ce9435c4535984a344f5b5878e2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-06f71ce9435c4535984a344f5b5878e22025-08-20T03:55:23ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/139513139513Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM EquationKhadijo Rashid Adem0Chaudry Masood Khalique1International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaWe 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.http://dx.doi.org/10.1155/2014/139513 |
| spellingShingle | Khadijo Rashid Adem Chaudry Masood Khalique Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation Abstract and Applied Analysis |
| title | Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation |
| title_full | Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation |
| title_fullStr | Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation |
| title_full_unstemmed | Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation |
| title_short | Conservation Laws and Traveling Wave Solutions of a Generalized Nonlinear ZK-BBM Equation |
| title_sort | conservation laws and traveling wave solutions of a generalized nonlinear zk bbm equation |
| url | http://dx.doi.org/10.1155/2014/139513 |
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