Painleve Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin-Bona-Mahony-Burger (BBMB) Equation

被引：32

作者：

Kumar, Vikas ^{[1
]}

Gupta, R. K. ^{[1
]}

Jiwari, Ram ^{[1
]}

机构：

[1] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2013年 / 60卷 / 02期

关键词：

BBMB equation; Painleve analysis; Lie symmetric analysis; exact solutions;

D O I：

10.1088/0253-6102/60/2/06

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a variable-coefficient Benjamin-Bona-Mahony-Burger (BBMB) equation arising as a mathematical model of propagation of small-amplitude long waves in nonlinear dispersive media is investigated. The integrability of such an equation is studied with Painleve analysis. The Lie symmetry method is performed for the BBMB equation and then similarity reductions and exact solutions are obtained based on the optimal system method. Furthermore different types of solitary, periodic and kink waves can be seen with the change of variable coefficients.

引用

页码：175 / 182

页数：8

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