Dromion and lump solutions of the Ishimori-I equation

被引：130

作者：

Imai, K ^{[1
]}

机构：

[1] NAGOYA UNIV,DEPT PHYS,NAGOYA,AICHI 46401,JAPAN

来源：

PROGRESS OF THEORETICAL PHYSICS | 1997年 / 98卷 / 05期

关键词：

D O I：

10.1143/PTP.98.1013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is known that the Ishimori-I equation, which is the (2+1)-dimensional generalization of the classical continuous Heisenberg ferromagnet equation, has various localized solutions such as the dromion, lump and rationally-exponentially localized solutions. In this paper localized solutions of the Ishimori-I equation are constructed explicitly in terms of grammian determinants by using the binary Darboux transformation, and it is shown that they include not only the multi-soliton (dromion, lump and so on) solutions but also new localized solutions.

引用

页码：1013 / 1023

页数：11

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