摘要
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, both the Lie point groups and the non-Lie symmetry groups of a （3＋1）-dimensional nonlinear evolution equation as well as the Maccari＇s system are firstly obtained. Furthermore, some exact solutions of the two equations are derived from some simple solutions by the symmetry groups.
出处
《宁波大学学报（理工版）》
CAS
2011年第1期108-114,共7页
Journal of Ningbo University：Natural Science and Engineering Edition
基金
Supported by National Natural Science Foundation of China(10735030)
Zhejiang Provincial Natural Science Foundations of China(Y6090592)
Ningbo Natural Science Foundation(2009B21003)
K.C.Wong Magna Fund in Ningbo University
