Lax pair, Darboux transformation and Nth-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation

A new (2+1)-dimensional Heisenberg ferromagnetic spin chain equation is investigated, which can be used to describe magnetic soliton excitations in two dimensional space fields and a time field. The Lax pair of the equation is first constructed. Based on the Lax pair, initial seed solution and Darbo...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 77; no. 2; pp. 514 - 524
Main Authors Li, Bang-Qing, Ma, Yu-Lan
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 15.01.2019
Elsevier BV
Subjects
(2+1)-dimensional Heisenberg ferromagnetic spin chain equation
[formula omitted]th-order rogue wave solution
Chains
Darboux transformation
Ferromagnetism
Lax pair
Transformations
(2+1)-dimensional Heisenberg ferromagnetic spin chain equation
Lax pair
Nth-order rogue wave solution
Darboux transformation
Online AccessGet full text
ISSN0898-1221
1873-7668
DOI10.1016/j.camwa.2018.09.054

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Summary:A new (2+1)-dimensional Heisenberg ferromagnetic spin chain equation is investigated, which can be used to describe magnetic soliton excitations in two dimensional space fields and a time field. The Lax pair of the equation is first constructed. Based on the Lax pair, initial seed solution and Darboux transformation, the analytic first-, second- and third-order rogue wave solutions are obtained, and a general expression of the Nth-order (N>3) rogue wave solutions is presented. The impacts of the system parameters on the rogue waves are demonstrated through numerical visualization method.
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ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2018.09.054