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

Francesco Demontis; Giovanni Ortenzi; M. Sommacal; Cornelis van der Mee

doi:10.1007/s11587-018-0395-7

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

Francesco Demontis, Giovanni Ortenzi, M. Sommacal, Cornelis van der Mee

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3 Citations (Scopus)

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Abstract

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.

Original language	English
Pages (from-to)	163-178
Journal	Ricerche di Matematica
Volume	68
Issue number	1
Early online date	5 Apr 2018
DOIs	https://doi.org/10.1007/s11587-018-0395-7
Publication status	Published - 1 Jun 2019

Keywords

Classical Heisenberg ferromagnet equation
Soliton solutions
Inverse scattering transform
Magnetic droplet
Ferromagnetic materials

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10.1007/s11587-018-0395-7

Demontis et al - The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions pt 2 AAMAccepted author manuscript, 380 KB

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abstract = "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.",

keywords = "Classical Heisenberg ferromagnet equation, Soliton solutions, Inverse scattering transform, Magnetic droplet, Ferromagnetic materials",

author = "Francesco Demontis and Giovanni Ortenzi and M. Sommacal and \{van der Mee\}, Cornelis",

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AU - Demontis, Francesco

AU - Ortenzi, Giovanni

AU - Sommacal, M.

AU - van der Mee, Cornelis

PY - 2019/6/1

Y1 - 2019/6/1

N2 - 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.

AB - 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.

KW - Classical Heisenberg ferromagnet equation

KW - Soliton solutions

KW - Inverse scattering transform

KW - Magnetic droplet

KW - Ferromagnetic materials

UR - https://www.scopus.com/pages/publications/85045074378

U2 - 10.1007/s11587-018-0395-7

DO - 10.1007/s11587-018-0395-7

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JO - Ricerche di Matematica

JF - Ricerche di Matematica

IS - 1

ER -

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

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