Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system

被引：0

作者：

Adem, Abdullahi Rashid ^{[1
]}

Khalique, Chaudry Masood ^{[1
]}

机构：

[1] Nort West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, ZA-2735 Mmabatho, South Africa

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 09期

关键词：

Coupled KdV system; Conservation laws; Lie symmetry methods; Simplest equation method; Jacobi elliptic function method; Solitary waves; Cnoidal and snoidal waves; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEAR EVOLUTION-EQUATIONS; TRAVELING-WAVE SOLUTIONS; BACKLUND TRANSFORMATION; INVARIANT SOLUTIONS; INTEGRABLE SYSTEMS; PAINLEVE PROPERTY; SIMPLEST EQUATION; EXTENSION; MODULE;

D O I：

10.1016/ja.cnsns.2012.01.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Lie symmetry analysis is performed on a new coupled KdV system, which arises in the analysis of various problems in theoretical physics and many scientific applications. The similarity reductions and new exact solutions are obtained. The solutions obtained include the solitary waves, cnoidal and snoidal waves. In addition, we derive the conservation laws of the coupled KdV system. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：3465 / 3475

页数：11

共 42 条

[1] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications [J].