摘要
基于近似对称群方法和一类一般变系数Riccati方程展开法,提出构造摄方程近似孤子解的一类混合方法.然后,选择一种摄动KdV方程举例说明该方法,得到其凶括近似周期和近似孤立波解的四个近似孤子解.该方法可适用于数学物理中的其它摄动方程.
Based on the approximate symmetry group method and a generalized Riccati equation with variable coefficients expansion method,a hybrid approach is proposed to construct the approximate soliton solutions of the perturbed differential equations.Then,a perturbed KdV equation is chosen to illustrate the method.As a result,four new soliton solutions,which include approximate periodic solutions and approximate solitary wave solutions are obtained.This method can be used to the other perturbed equations in mathematical physics.
出处
《内蒙古工业大学学报（自然科学版）》
2011年第4期447-454,共8页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
Supported by Nationl Natural Science Foundation of China(No.11071159)
the College Science Research Project of Inner Mongolia(No.NJzy08180)
关键词
近似对称方法
Riccati方程方法
摄动方程
近似周期解
近似孤立波解
the approximate symmetry method
Riccati equation method
the perturbed differential equations
the approximate periodic solutions
the approximate solitary wave solutions
