Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 77, Issue 2, Pages 514-524Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.09.054
Keywords
(2+1)-dimensional Heisenberg ferromagnetic spin chain equation; Lax pair; Darboux transformation; Nth-order rogue wave solution
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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. (C) 2018 Elsevier Ltd. All rights reserved.
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