Multisoliton solutions of the matrix KdV equation

被引：31

作者：

Goncharenko, VM ^{[1
]}

机构：

[1] Financial Acad, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2001年 / 126卷 / 01期

关键词：

D O I：

10.1023/A:1005254131618

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider multisoliton solutions of the matrix KdV equation. We obtain the formulas for changing phases and amplitudes during the interaction of two solitons and prove that no multiparticle effects appear during the multisoliton interaction. We find the conditions ensuring the symmetry of the corresponding solutions of the matrix KdV equation if they are constructed by the matrix Darboux transformation applied to the Schrodinger operator with zero potential.

引用

页码：81 / 91

页数：11

共 16 条

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Agranovich Z.S., 1960, The Inverse Problem of Scattering Theory

[2] TRACE IDENTITIES IN THE INVERSE SCATTERING TRANSFORM METHOD ASSOCIATED WITH MATRIX SCHRODINGER-OPERATORS [J].