MODIFIED NONLINEAR SCHRODINGER-EQUATION - SPECTRAL TRANSFORM AND N-SOLITON SOLUTION

被引：14

作者：

DOKTOROV, EV ^{[1
]}

SHCHESNOVICH, VS ^{[1
]}

机构：

[1] BYELARUSSIAN ACAD SCI, DIV OPT PROBLEMS & INFORMAT TECHNOL, MINSK 220072, BELARUS

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 12期

关键词：

D O I：

10.1063/1.531204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown in the framework of the partial derivative-formalism that the modified nonlinear Schrodinger (MNLS) equation is gauge equivalent to one which is canonical in the class of nonlinear equations associated with the quadratic bundle. Such a viewpoint permits us to obtain a simple expression for the N-soliton solution of the MNLS equation. The spectral transform matrix R for both continuous and discrete spectral data is derived and its gauge invariance is demonstrated. (C) 1995 American Institute of Physics.

引用

页码：7009 / 7023

页数：15

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