摘要
利用改进的CK直接方法,求出了(3+1)-维非线性发展方程的一般对称群、李对称及其对应的向量场,建立了方程新旧解之间的关系,同时由旧解得到了方程的许多新的精确解。由于对称和守恒律之间有密切的关系,同时找到了此方程的无穷多守恒律。
Using the modified CK＇s direct method, general symmetry group, Lie symmetries and corresponding vector fields of a （3＋1）-dimensional nonlinear evolution equation are obtained. The relationship between new solutions and old ones of the （3＋1）-dimensional nonlinear evolution equation is built by applying the results. Some new exact solutions of the （3＋1）-dimensional nonlinear evolution equation are obtained. As for the close relationship between symmetries and conservation laws, the infinite conservation laws of the （3＋1）-dimensional nonlinear evolution equation are found.
出处
《量子电子学报》
CAS
CSCD
北大核心
2009年第1期16-22,共7页
Chinese Journal of Quantum Electronics
基金
山东省自然科学基金资助项目(2004ZX16
Q2005A01)
关键词
非线性发展方程
精确解
对称群
守恒律
nonlinear evolution equation
exact solutions
symmetry groups
conservation laws
