On the conservation laws and invariant solutions of the mKdV equation

被引：26
|
作者：
Yasar, Emrullah [1 ]
机构：
[1] Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 363卷 / 01期
关键词：
Conservation laws; Symmetries; PARTIAL-DIFFERENTIAL-EQUATIONS; SYMMETRIES; WATER;
D O I：
10.1016/j.jmaa.2009.08.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider modified Korteweg-de Vries (mKdV) equation. By using the nonlocal conservation theorem method and the partial Lagrangian approach, conservation laws for the mKdV equation are presented. It is observed that only nonlocal conservation theorem method lead to the nontrivial and infinite conservation laws. In addition, invariant solution is obtained by utilizing the relationship between conservation laws and Lie-point symmetries of the equation. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：174 / 181
页数：8
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