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

页码：1141 / 1155

页数：15

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