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.

引用

页数：7

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