Investigation of soliton solutions with different wave structures to the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation  

作　　者：M S Osman K U Tariq Ahmet Bekir A Elmoasry Nasser S Elazab M Younis Mahmoud Abdel-Aty 

机构地区：[1]Department of Mathematics,Faculty of Science,Cairo University,Giza,Egypt [2]Department of Mathematics,Faculty of Applied Science,Umm Alqura University,Makkah 21955,Saudi Arabia [3]School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China [4]Department of Mathematics,Mirpur University of Science and Technology,Mirpur(AJK)10250,Pakistan [5]Neighbourhood of Akcaglan,Imarli Street,Number:28/4,26030,Eskisehir,Turkey [6]Mathematics department,College of Science,Majmaah University,Saudi Arabia [7]Punjab University College of Information Technology,University of the Punjab,Lahore 54590,Pakistan [8]Department of Mathematics,Faculty of Science,Sohag University,Sohag,Egypt [9]Applied Science University,Bahrain

出　　处：《Communications in Theoretical Physics》2020年第3期7-13,共7页理论物理通讯（英文版）

基　　金：the Basic Science Research Unit,Scientific Research Deanship at Majmaah University,project number RGP-2019-4。

摘　　要：The principal objective of this article is to construct new and further exact soliton solutions of the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates the nonlinear dynamics of magnets and explains their ordering in ferromagnetic materials.These solutions are exerted via the new extended FAN sub-equation method.We successfully obtain dark,bright,combined bright-dark,combined dark-singular,periodic,periodic singular,and elliptic wave solutions to this equation which are interesting classes of nonlinear excitation presenting spin dynamics in classical and semi-classical continuum Heisenberg systems.3D figures are illustrated under an appropriate selection of parameters.The applied technique is suitable to be used in gaining the exact solutions of most nonlinear partial/fractional differential equations which appear in complex phenomena.The principal objective of this article is to construct new and further exact soliton solutions of the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates the nonlinear dynamics of magnets and explains their ordering in ferromagnetic materials.These solutions are exerted via the new extended FAN sub-equation method.We successfully obtain dark,bright,combined bright-dark,combined dark-singular,periodic,periodic singular,and elliptic wave solutions to this equation which are interesting classes of nonlinear excitation presenting spin dynamics in classical and semi-classical continuum Heisenberg systems.3D figures are illustrated under an appropriate selection of parameters.The applied technique is suitable to be used in gaining the exact solutions of most nonlinear partial/fractional differential equations which appear in complex phenomena.

关 键 词：SOLITON solutions HEISENBERG FERROMAGNETIC EQUATION FAN sub-equation method 

分 类 号：O411.1[理学—理论物理]