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一个3+1维非线性发展方程和Maccari系统的对称群及精确解

Symmetry Groups and Exact Solutions of a (3+1)-Dimensional Nonlinear Evolution Equation and Maccari‘s System

中文摘要英文摘要

本文利用广义对称群方法和符号计算,首先得到了一个3+1维非线性发展方程和Maccari系统的李群以及非李对称变换群。然后利用它们求出的对称群以及一些简单的种子解构造出新解。

Based on the generalized symmetry group method and symbolic computation, firstly, both the Lie point groups and the non-Lie symmetry groups of a (3+1)-dimensional nonlinear evolution equation and Maccari’s system are obtained. Furthermore, some exact solutions of the two equations are derived from some simple solutions by the symmetry groups.

胡晓

数学物理学

对称群3+1维非线性发展方程Maccari 系统

Symmetry Group(3+1)-Dimensional Nonlinear Evolution EquationMaccari‘s System.

胡晓.一个3+1维非线性发展方程和Maccari系统的对称群及精确解[EB/OL].(2010-09-02)[2025-07-21].http://www.paper.edu.cn/releasepaper/content/201009-41.点此复制

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