摘要
基于李群理论利用直接对称法得到了(3+1)-维Jimbo-Miwa方程的对称性.在此基础上,对相应的李代数进行优化,得到了方程的七种相似约化,通过变量分离以及借助辅助函数的方法,对得到的约化方程进行求解,并且得到了方程的一些新的不变解。
Based on Lie group theory and using the direct symmetry method, (3+1) dimensional Jimbo- Miwa equation symmetry is obtained. And by the optimization of corresponding Lie algebra theory, seven kinds of approximate reduction of the equation can be obtained. Through the variable separation as well as with the aid of the auxiliary function method, some new invariable solutions of reduced equations are presented.
出处
《量子电子学报》
CAS
CSCD
北大核心
2008年第2期155-160,共6页
Chinese Journal of Quantum Electronics
基金
山东省自然科学基金项目(Q2005A01)
关键词
非线性方程
Jimbo—Miwa方程
对称
相似约化
不变解
nonlinear equation
Jimbo-Miwa equation
symmetry
similarly approximate reduction
invari- able solutions