Exact solutions and conservation laws of a -dimensional B-type Kadomtsev-Petviashvili equation

被引：13
|
作者：
Abudiab, Mufid [1 ]
Khalique, Chaudry Masood [2 ]
机构：
[1] Texas A&M Univ Corpus Christi, Dept Math & Stat, Corpus Christi, TX 78412 USA
[2] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
(3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation; multiple-exp function method; simplest equation method; conservation laws; ELLIPTIC FUNCTION SOLUTIONS; WAVE SOLUTIONS;
D O I：
10.1186/1687-1847-2013-221
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a -dimensional generalized B-type Kadomtsev-Petviashvili (BKP) equation. This equation is an extension of the well-known Kadomtsev-Petviashvili equation, which describes weakly dispersive and small amplitude waves propagating in quasi-two-dimensional media. We first obtain exact solutions of the BKP equation using the multiple-exp function and simplest equation methods. Furthermore, the conservation laws for the BKP equation are constructed by using the multiplier method.
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页数：7
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