Interaction of lumps with a line soliton for the DSII equation

被引：86

作者：

Fokas, AS

Pelinovsky, DE ^{[1
]}

Sulem, C

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

[2] Clarkson Univ, Inst Nonlinear Studies, Potsdam, NY 13699 USA

[3] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2001年 / 152卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Davey-Stewartson II equation; line soliton; lumps;

D O I：

10.1016/S0167-2789(01)00170-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exact solutions of the focussing Davey-Stewartson II equation are presented, which describe the interaction of N-lumps with a line soliton. These solutions are constructed by analysing the inverse spectral problem of the associated Lax pair. The dynamical properties of these solutions are also discussed. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：189 / 198

页数：10

共 19 条

[1]

Ablowitz M.J., 1991, SOLITONS NONLINEAR E

[2]

[Anonymous], TEOR MAT FIZ

[3] CLOSED STRING-LIKE SOLUTIONS OF THE DAVEY-STEWARTSON EQUATION [J].