Stability Of The Solitary Wave Solution To A Coupled Kdv System

In this paper,the classical methods of Grillakis,Skatah and Strauss[ll][12]are mainly used to study the stability of solitary wave solutions for the coupled KdV equations.The key steps are to perform spectral analysis on the linearized operators of the equations for solitary waves and to perform convexity analysis of function d(ω),hence to obtain the stability and instabilities of solitary wave solutions for the studied equations...