中文摘要：

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。

英文摘要：

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.