Benjamin-Bona-Mahony (BBM) equation with variable coefficients: Similarity reductions and Painleve analysis

被引：46
作者：
Singh, K. [2 ]
Gupta, R. K. [1 ]
Kumar, Sachin [1 ]
机构：
[1] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
[2] Jaypee Univ Informat Technol, Dept Math, Kandaghat 173215, Himachal Prades, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 16期
关键词：
Benjamin-Bona-Mahony equation; Lie classical method; Painleve analysis; Exact solutions; BACKLUND TRANSFORMATION; NONLINEAR EVOLUTION; 1-SOLITON SOLUTION; CREEPING FLOW; KDV EQUATION; SYMMETRIES; SOLITON;
D O I：
10.1016/j.amc.2011.02.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lie-group formalism is applied to investigate the symmetries of the Benjamin-Bona-Mahony (BBM) equation with variable coefficients. We derive the infinitesimals and the admissible forms of the coefficients that admit the classical symmetry group. The ordinary differential equations deduced from the optimal system of subalgebras are further studied and some exact solutions are obtained. (C) 2011 Elsevier Inc. All rights reserved.
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页码：7021 / 7027
页数：7
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