Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation
In this paper, we study the two-dimensional nonlinear Kadomtsov-Petviashivilli-Benjamin-Bona-Mahony (KP-BBM) equation. This equation is the Benjamin-Bona-Mahony equation formulated in the KP sense. We first obtain exact solutions of this equation using the Lie group analysis and the simplest equatio...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/791863 |
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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 | In this paper, we study the two-dimensional nonlinear Kadomtsov-Petviashivilli-Benjamin-Bona-Mahony (KP-BBM) equation. This equation is the Benjamin-Bona-Mahony equation formulated in the KP sense. We first obtain exact solutions of this equation using the Lie group analysis and the simplest equation method. The solutions obtained are solitary waves. In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method. |
| format | Article |
| id | doaj-art-545e117a834045fb85eeaf0678d8681c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-545e117a834045fb85eeaf0678d8681c2025-02-03T06:05:53ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/791863791863Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-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 AfricaIn this paper, we study the two-dimensional nonlinear Kadomtsov-Petviashivilli-Benjamin-Bona-Mahony (KP-BBM) equation. This equation is the Benjamin-Bona-Mahony equation formulated in the KP sense. We first obtain exact solutions of this equation using the Lie group analysis and the simplest equation method. The solutions obtained are solitary waves. In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method.http://dx.doi.org/10.1155/2013/791863 |
| spellingShingle | Khadijo Rashid Adem Chaudry Masood Khalique Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation Abstract and Applied Analysis |
| title | Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation |
| title_full | Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation |
| title_fullStr | Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation |
| title_full_unstemmed | Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation |
| title_short | Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation |
| title_sort | exact solutions and conservation laws of a 2 1 dimensional nonlinear kp bbm equation |
| url | http://dx.doi.org/10.1155/2013/791863 |
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