Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation

被引：24
|
作者：
Rashed, A. S. [1 ]
Kassem, M. M. [1 ]
机构：
[1] Zagazig Univ, Fac Engn, Dept Math & Phys, Zagazig, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 247卷
关键词：
Adjoint Lie algebra; Hidden Lie vectors; Non linear evolution equations;
D O I：
10.1016/j.amc.2014.09.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Analytical solutions of a '(2 + 1)' dimensional nonlinear model using the Jaulent-Miodek hierarchy are investigated following a similarity reduction procedure. For this adjoint Lie matrices are first evaluated and an extensive list of optimal Lie vectors is obtained. The systematic reduction of Jaulent-Miodek evolution equation to lower number of variables leads to hidden symmetries and new solutions. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：1141 / 1155
页数：15
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