The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. II. IST and closed-form soliton solutions

被引：2
|
作者：
Demontis, F. [1 ]
Ortenzi, G. [2 ]
Sommacal, M. [3 ]
van der Mee, C. [1 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat & Informat, Viale Merello 92, I-09121 Cagliari, Italy
[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy
[3] Univ Northumbria Newcastle, Dept Math Phys & Elect Engn, Newcastle Upon Tyne NE1 8ST, Tyne & Wear, England
来源：
RICERCHE DI MATEMATICA | 2019年 / 68卷 / 01期
关键词：
Classical Heisenberg ferromagnet equation; Soliton solutions; Inverse scattering transform; Magnetic droplet; Ferromagnetic materials; MAGNETIC DROPLET SOLITONS; SPIN; MAGNONS;
D O I：
10.1007/s11587-018-0395-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new, general, closed-form soliton solution formula for the classical Heisenberg ferromagnet equation with in-plane asymptotic conditions is obtained by means of the inverse scattering transform technique and the matrix triplet method. This formula encompasses the soliton solutions already known in the literature as well as a new class of soliton solutions (the so-called multipole solutions), allowing their classification and description. Examples from all classes are provided and discussed.
引用
收藏
页码：163 / 178
页数：16
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