Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation

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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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.699-703-1070
Hauptverfasser: Adem, Khadijo Rashid, Khalique, Chaudry Masood
Format: Artikel
Sprache:eng
Schlagworte:
Conservation laws
Differential equations, Nonlinear
Differential equations, Partial
Exact solutions
Lie groups
Mathematical analysis
Mathematical research
Multipliers
Nonlinearity
Solitary waves
Two dimensional
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/791863