On soliton-type solutions of equations associated with N-component systems

被引：7

作者：

Alber, MS ^{[1
]}

Luther, GG

Miller, CA

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[2] Northwestern Univ, Robert R McCormick Sch Engn & Appl Sci, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.533133

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The algebraic geometric approach to N-component systems of nonlinear integrable PDE's is used to obtain and analyze explicit solutions of the coupled KdV and Dym equations. Detailed analysis of soliton fission, kink to anti-kink transitions and multi-peaked soliton solutions is carried out. Transformations are used to connect these solutions to several other equations that model physical phenomena in fluid dynamics and nonlinear optics. (C) 2000 American Institute of Physics. [S0022-2488(00)00501-6].

引用

页码：284 / 316

页数：33

共 32 条

[1]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4

[2] ON THE LINK BETWEEN UMBILIC GEODESICS AND SOLITON-SOLUTIONS OF NONLINEAR PDES [J].