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

Khadijo Rashid Adem | Zendy; Chaudry Masood Khalique | Zendy

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

Author(s) -

Khadijo Rashid Adem,

Chaudry Masood Khalique

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/791863

Subject(s) - mathematics , conservation law , nonlinear system , mathematical analysis , burgers' equation , kadomtsev–petviashvili equation , riccati equation , partial differential equation , physics , quantum mechanics

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

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