Lax pair, Darboux transformation and Nth-order rogue wave solutions for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation
作者： Bang-Qing Li , Yu-Lan Ma
DOI: 10.1016/J.CAMWA.2018.09.054
关键词: Order (group theory) 、 Rogue wave 、 Field (physics) 、 Lax pair 、 Mathematical physics 、 Transformation (function) 、 Two-dimensional space 、 One-dimensional space 、 Soliton 、 Mathematics
摘要: Abstract 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 first constructed. Based on pair, initial seed solution Darboux transformation, analytic first-, second- third-order rogue wave solutions are obtained, general expression N th-order ( > 3 ) presented. impacts system parameters waves demonstrated through numerical visualization method.
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