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
作者单位
内蒙古师范大学数学科学学院, 内蒙古 呼和浩特 010022
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。
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 Bcklund transformation and the nonlinear superposition formula of solutions to several kinds of solvable ordinary differential equations.
参考文献

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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.

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