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物理学报  2010 

New exact solutions to (n+1)-dimensional double sine-Gordon equation
(n+1)维双Sine-Gordon方程的新精确解

Keywords: the formula of superposition of solutions,(n+1)-dimensional double sine-Gordon equation,auxiliary equation of triangular type,Jacobi elliptic function
解的叠加公式
,(n+1)维双Sine-Gordon方程,三角函数型辅助方程,Jacobi椭圆函数

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Abstract:

The auxiliary equation of triangular function type including the first kind of elliptic equation and the formula of superposition of the solutions are given. Then based on general function transformation, new Jacobi elliptic exact solutions to (n+1)-dimensional double sine-Gordon equation are constructed with aid of symbolic computation system Mathematica. And the solutions include Jacobi elliptic function exact solutions, exact solitary wave solutions and triangular functions.

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