Characteristics of rogue waves for a (2+1)-dimensional Heisenberg ferromagnetic spin chain system

被引:48
作者
Li, Bang-Qing [1 ]
Ma, Yu-Lan [2 ]
机构
[1] Beijing Technol & Business Univ, Sch Comp & Informat Engn, Beijing 100048, Peoples R China
[2] Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China
基金
中国国家自然科学基金;
关键词
(2+1)-Dimensional Heisenberg ferromagnetic spin chain system; Hirota bilinear method; Rogue waves solutions; Rogue waves characteristic; NONLINEAR SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; ELECTROMAGNETIC SOLITON; CONSERVATION-LAWS; OPTICAL SOLITONS; DARK SOLITONS; PROPAGATION; TRANSFORMATION; DYNAMICS; PLASMA;
D O I
10.1016/j.jmmm.2018.10.133
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A (2 + 1)-dimensional equation is investigated, which describes a Heisenberg ferromagnetic spin chain system in ferrite material. Through using Hirota bilinear method and choosing proper polynomial functions in bilinear forms, the one-order rogue waves solution and its existence condition are obtained. Based on this existence condition, the two-order rouge waves solution is also obtained. Furthermore, some interesting characteristics of the rogue waves are observed by visualization method. For the one-order rogue waves, there exist three types of single-, two- and three-petal states. For the two-order rogue waves, there are six types in term of the arrangement of bright peaks. The impacts of system parameters on the rogue waves are also discussed. These results are new for the Heisenberg ferromagnetic spin chain system.
引用
收藏
页码:537 / 543
页数:7
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