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Download fileEffective generation of closed-form soliton solutions of the continuous classical Heisenberg ferromagnet equation
journal contribution
posted on 2018-11-08, 11:52 authored by Francesco Demontis, Sara Lombardo, Matteo Sommacal, C. Van Der Mee, Francesca VargiuThe non-topological, stationary and propagating, soliton solutions of the classical continuous Heisenberg ferromagnet equation are investigated. A general, rigorous formulation of the Inverse Scattering Transform for this equation is presented, under less restrictive conditions
than the Schwartz class hypotheses and naturally incorporating the non-topological
character of the solutions. Such formulation is based on a new triangular representation
for the Jost solutions, which in turn allows an immediate computation of the asymptotic
behaviour of the scattering data for large values of the spectral parameter, consistently improving on the existing theory. A new, general, explicit multi-soliton solution formula, amenable to computer algebra, is obtained by means of the matrix triplet method, producing
all the soliton solutions (including breather-like and multipoles), and allowing their classification and description
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Nonlinear Science and Numerical SimulationVolume
64Pages
35 - 65Citation
DEMONTIS, F., 2018. Effective generation of closed-form soliton solutions of the continuous classical Heisenberg ferromagnet equation. Communications in Nonlinear Science and Numerical Simulation, 64, pp. 35-65.Publisher
© The Authors. Published by ElsevierVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/ by/4.0/Acceptance date
2018-03-29Publication date
2018Notes
This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/ISSN
1007-5704Publisher version
Language
- en