三角函数型辅助方程法与非线性发展方程的精确解

The Auxiliary Equation Method of the Triangle Type and the Exact solution to the nonlinear Evolution Equation

以辅助方程法和双曲正切函数法为基础,给出构造非线性发展方程精确解的三角函数型辅助方程法.借助符号计算系统Mathematica构造了Boussinesq方程和Klein-Gordon方程的Jacobi椭圆函数精确解和精确孤波解.

Based on the auxiliary equation method and the tanh-function method,the auxiliary equation method of triangle type for constructing the exact solution to the nonlinear evolution equation is proposed, and with the aid of the symbolic computation system Mathematica,the Jacobi elliptic function exact solutions and exact solitary solutions to Boussinesq equation and Klein-Gordon equation are constructed.