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.

引用

页码：7021 / 7027

页数：7

共 34 条

[1] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].

ABLOWITZ, MJ ;

RAMANI, A ;

SEGUR, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721

[2]

[Anonymous], INT J MATH MATH SCI, DOI 10.1155/IJMMS.2005.3711

[3]

[Anonymous], COMMUN NONLINEAR SCI

[4]

Benjamin T. B., 1992, T ROY SOC LOND A, V272, P47

[5] 1-Soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity [J].

Biswas, Anjan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) :2744-2746

[6] 1-Soliton solution of the B(m, n) equation with generalized evolution [J].

Biswas, Anjan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (08) :3226-3229

[7]

Bluman GW., 1989, APPL MATH SCI

[8] SOLITARY-WAVE INTERACTION [J].

BONA, JL ;

PRITCHARD, WG ;

SCOTT, LR .

PHYSICS OF FLUIDS, 1980, 23 (03) :438-441

[9] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].

CAMASSA, R ;

HOLM, DD .

PHYSICAL REVIEW LETTERS, 1993, 71 (11) :1661-1664

[10] Approximate symmetries of creeping flow equations of a second grade fluid [J].

Dolapçi, IT ;

Pakdemirli, M .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2004, 39 (10) :1603-1619

← 1 2 3 4 →