ASYMPTOTIC ANALYSIS OF THE MARCHENKO INTEGRAL-EQUATION AND SOLITON ASYMPTOTICS OF A SOLUTION OF THE NONLINEAR SCHRODINGER-EQUATION

被引：3

作者：

KOTLYAROV, VP

机构：

[1] Mathematical Division, B. Verkin Institute for Low Temperature Physics

来源：

PHYSICA D | 1995年 / 87卷 / 1-4期

关键词：

D O I：

10.1016/0167-2789(95)00145-T

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present results on the direct asymptotic analysis of the Marchenko integral equation for the nonlinear Schrodinger equation and apply them to describe soliton asymptotics of the solutions of the initial value problem for the NLS equation. It is shown that phases of solitons depend on the reflection coefficient of the corresponding Dirac operator. Formulas for the phase shifts are given.

引用

页码：176 / 185

页数：10

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