COHERENT STRUCTURES FOR THE ISHIMORI EQUATION .1. LOCALIZED SOLITONS WITH STATIONARY BOUNDARIES

被引：12

作者：

DUBROVSKY, VG ^{[1
]}

KONOPELCHENKO, BG ^{[1
]}

机构：

[1] YALE UNIV,DEPT MATH,YALE STN,NEW HAVEN,CT 06520

来源：

PHYSICA D | 1991年 / 48卷 / 2-3期

关键词：

D O I：

10.1016/0167-2789(91)90094-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial-boundary value problem for the Ishimori-II equation is studied. The time evolution of the inverse problem data in the case of nontrivial boundaries is found. A general formula for exact solutions of the Ishimori-II equation with nontrivial boundaries is derived. Localized soliton solutions of the Ishimori-II equation with time-independent boundaries are studied in detail. It is shown that there exist essentially three different types (ss, sb, bb) of localized solitons for the Ishimori-II equation. Some explicit examples of such solutions are presented.

引用

页码：367 / 395

页数：29

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