Exact solutions and conservation laws of a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation

被引：0
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作者：
Mufid Abudiab
Chaudry Masood Khalique
机构：
[1] Texas A&M University-Corpus Christi,Department of Mathematics and Statistics
[2] North-West University,International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences
来源：
Advances in Difference Equations | / 2013卷
关键词：
-dimensional generalized B-type Kadomtsev-Petviashvili equation; multiple-exp function method; simplest equation method; conservation laws;
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摘要：
In this paper we study a (3+1)-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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