Landau-Lifschitz方程的Marchenko形式

Marchenko Formalism of Landau-Lifschitz Equation

摘要: 引入反散射变换方法Jost解的积分形式得到Landau-Lifschitz方程的Marchenko形式.由Marchen-ko方程入手,验证反散射变换方法得到的Jost解同时满足Landau-Lifschitz方程的2个Lax方程.更多还原

Abstract: An intergral representation of Jost solutions of inverse scattering transformation was introduced and Marchenko formalism of Landu-Lifschitz equation was further obtained.It is shown that the Jost solutions of inverse scattering transformation satisfy the Lax equations in Marchenko formalism.