量子电子学报, 2017, 34 (3): 316, 网络出版: 2017-06-09
首次积分与(n+1)维多重sine-Gordon方程的无穷序列新解
The first integral and new infinite sequence solutions of (n+1)-dimensional multiple sine-Gordon equation
非线性方程 首次积分 (n+1)维多重sine-Gordon方程 Bcklund变换 无穷序列类孤子新解 nonlinear equation the first integral (n+1)-dimensional multiple sine-Gordon equation Bcklund transformation new infinite sequence soliton-like solutions
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Bcklund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。
Abstract
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 Bcklund transformation and the nonlinear superposition formula of solutions to several kinds of solvable ordinary differential equations.
套格图桑. 首次积分与(n+1)维多重sine-Gordon方程的无穷序列新解[J]. 量子电子学报, 2017, 34(3): 316. Taogetusang. The first integral and new infinite sequence solutions of (n+1)-dimensional multiple sine-Gordon equation[J]. Chinese Journal of Quantum Electronics, 2017, 34(3): 316.