摘要
通过几种函数变换把(n+1)维多重sine-Gordon方程的求解转化为常微分方程组的求解。利用常微分方程组的首次积分与可求解几种常微分方程的B?cklund变换和解的非线性叠加公式,构造了(n+1)维多重sine-Gordon方程的无穷序列类孤子新解。
The solution of （n＋1）-dimensional multiple sine-Gordon equation is transformed into solution of the set of ordinary differential equations by several function transformations. New infinite sequence soliton-like solutions of （n ＋1）-dimensional multiple sine^Gordon equation are constructed by combining the first integrals of the set of ordinary differential equations with Backlund transformation and the nonlinear superposition formula of solutions to several kinds of solvable ordinary differential equations.
出处
《量子电子学报》
CSCD
北大核心
2017年第3期316-326,共11页
Chinese Journal of Quantum Electronics
基金
国家自然科学基金,11361040
内蒙古自治区自然科学基金,2015MS0128
内蒙古自治区高等学校科学研究基金,NJZY16180
