An Exact Solution to the Combined KS and EdV Equation

作     者：Jie-fang Zhang 

出 版 物：《浙江海洋学院学报（人文科学版）》 (Journal of Zhejiang Ocean University(Humane Science))

年 卷 期：1995年第12卷第3期

页      面：30-32页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：KdV An Exact Solution to the Combined KS and EdV Equation KS 

摘      要：The exact solution for the combined KS and KdV equation is obtained via introducing a simple and effective nonlinear *** method is very concise and primary and can be applied to other unintegrable nonlinear evolution *** is common knowledge that the Korteweg de Vries(KdV) equation [1] (1)has been proposed as model equation for the weakly nonlinear long waves which occur in many different physical systems; the Kuramoto-Sivashinsky (KS) equationis one of the simplest nonliaear partial differential equations that exhibit Chaotic behavior frequently encounted in the study of continous media [2-4] . Many interesting mathematical and physical properties of eqs. (1) and (2) have been studied widely. But, in several problems where a lonq wavelength oscilatory instability is found, the noulineai evolution of the perturbations near rriticality is governed by the dispersion modified Kuramoto-Sivashi nsky equation(3)ft is clear that this equation is a combination of the KdV and