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A series of the solutions for the Heisenberg ferromagnetic spin chain equation
Author(s) -
Ma YuLan,
Li BangQing,
Fu YingYing
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4818
Subject(s) - mathematics , elliptic function , series (stratigraphy) , mathematical analysis , trigonometric functions , function (biology) , soliton , exponential function , theta function , hyperbolic function , chain (unit) , nonlinear system , mathematical physics , quantum mechanics , physics , paleontology , biology , geometry , evolutionary biology
The Heisenberg ferromagnetic spin chain equation is investigated. By applying the improved F‐expansion method (Exp‐function method) and the Jacobi elliptic method, respectively, a series of exact solutions is constructed. The parametric conditions of the existence for the solutions are presented. These solutions comprise periodic wave solutions, doubly periodic wave solutions, and dark and bright soliton solutions, which are expressed in several different function forms, namely, Jacobi elliptic function, trigonometric function, hyperbolic function, and exponential function. The results illustrate that the Exp‐function method is a powerful symbolic algorithm to look for new solutions for the nonlinear evolution systems.