关于Jacobi椭圆函数展开法(英文)

On the Jacobi Elliptic Function Expansion Method

中文关键词:  Jacobi椭圆函数  周期波解  冲击波解  吴代数消元法

英文关键词:Jacobi elliptic function  periodic wave solution  shock wave solution  Wu algebraic elimination.

中文摘要:

      主要利用Jacobi椭圆函数所满足的方程并用其解代替Jacobi椭圆函数以求非线性偏微分方程的周期解,并举例说明该方法的应用.

英文摘要:

      The main idea of this method is to take full advantage of the elliptic equation that Jacobi elliptic functions satisfy and use its solutions to replace Jacobi elliptic functions in Jacobi elliptic function method. Some illustrative equations are investigated by this means.