强非线性波动方程孤子行波解

Abstract

A strongly nonlinear wave equation was studied. With the functional analytic variational iteration method, firstly, a variational iteration was constructed, and the corresponding Lagrangian multiplicator was solved. Secondly, the initial solitary wave was selected and the iteration method was used to obtain the approximate solution of arbitrarydegree accuracy for the solitary wave. This method is easy and feasible for getting approximate solutions to nonlinear wave equations.