两类非线性波方程的近似解法

Approximate Solving Methods For Two Nonlinean Wave Equations

利用变分迭代原理和同伦理论分别讨论了一类Kle in-Cordon方程和Boussinesq方程。在适当的条件下,较简捷地得出了这两类非线性波方程的近似解。为研究一些类型的偏微分方程提供了有效的途径。

In this paper,using the principle of variational iteration and the theory of homotopic mapping,a class of Klein - Cordon equation and Boussinesq equation are considered. Under appropriate conditions, the approximate solutions for two nonlinear wave equations are obtained simply and conveniently. They provide valid approach for the studying some partial differential equations.