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

被引：15

作者：

Adem, Khadijo Rashid ^{[1
]}

Khalique, Chaudry Masood ^{[1
]}

机构：

[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

DIFFERENTIAL-EQUATIONS; COMPACT;

D O I：

10.1155/2013/791863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：5

共 14 条

[1]

Abdou MA., 2008, Int J Nonlinear Sci, V6, P145

[2]

Adem AR, 2012, COMMUN NONLINEAR SCI, V17, P3465, DOI [10.1016/ja.cnsns.2012.01.010, 10.1016/j.cnsns.2012.01.010]

[3] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications [J].