Symmetry classification and invariant solutions of the variable coefficient BBM equation

被引：14

作者：

Molati, Motlatsi ^{[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：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 15期

关键词：

BBM equation; Symmetry classification; Invariant solutions; TIME-DEPENDENT COEFFICIENTS;

D O I：

10.1016/j.amc.2013.02.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We perform Lie symmetry classification of a time-variable coefficient BBM equation, which arises in the modeling of long waves of small amplitude in (1 + 1) dimensions. The direct method of group classification is employed to specify the forms of these time-dependent coefficients. Some exact solutions are derived. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：7917 / 7922

页数：6

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