孤子微扰的广义KdV方程直解

摘要

基于微分算符展开和分离变量方法,非线性演化的孤子微扰方程直解方法已由颜家壬及其同事发展起来.利用这一方法可处理微扰的广义KdV方程,所获得的结果更具有普遍性,而其它作者曾获得的相关结论都作为特例被包涵于这一结果之中.%A direct approach in studying the soliton perturbations of nonlinear evolution equations has been developed by Jiaren Yan and Yi Tang. [1] It is based on the method of the derivative expansions,and the separation of variables. In this paper,We use it to deal with the generalized Korteweg-de Vries equation (GKdV)under the action of perturbations. Results which are more general than those in past papers[1] are obtained.