【摘要】 mKdV方程的多孤子解很难直接验证,本文通过证明GLM反散射变换方程导出的Jost解满足两个相容性方程的方法,解决了这个问题.更多还原

【Abstract】 It is difficult to verify the N-soliton solution of the mKdV equation derectly.In the paper,we find a method to solve the problem.The method is as follows:Firstly,using the integral representation of the Jost solution,we deduce some conditions involving the Kernal function K(x,y,t) if the Jost solution satisfies the two compatibility equations.Secondly,we verify the N-soliton solution of the mKdV equation if we prove that these conditions can be demonstrate by the GLM equation which determine the Kernal function K(x,y,t) in according to the inverse scattering method.更多还原