Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation

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dc.contributor.authorTozar, Ali
dc.contributor.authorTaşbozan, Orkun
dc.contributor.authorKurt, Ali
dc.date.accessioned2026-02-08T15:04:50Z
dc.date.available2026-02-08T15:04:50Z
dc.date.issued2024
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractThe Heisenberg spin chain concept is a fundamental and generic model that describes the exotic magnetic behavior of certain materials, such as ferromagnetism, antiferromagnetism, andferrimagnetism under critical temperatures. The concept of spin chain is based on Coulomb interactions due to Pauli exclusion principle rather than dipole-dipole interactions in explaining the high energy observed in the Weiss molecular field. With certain improvements to the Hamiltonian proposed by Heisenberg, the model has became more sophisticated and used successfully in explaining many of the physical phenomena observed experimentally. This model has been extensively studied by physicists since the emergence of quantum physics at the beginning of the 20th century. Due to nonlinear interactions inherent in the model, soliton solutions that can be obtained have attracted the attention of mathematicians, in recent decades. In this study, triangular soliton, bell shaped solitary wave and kink shaped solitary wave solutions were obtained by applying the functional variable method to the nonlinear Heisenberg spin chain equation for a cubic lattice crystal.
dc.identifier.doi10.38088/jise.1085180
dc.identifier.endpage250
dc.identifier.issn2602-4217
dc.identifier.issue2
dc.identifier.startpage243
dc.identifier.urihttps://doi.org/10.38088/jise.1085180
dc.identifier.urihttps://hdl.handle.net/20.500.12885/4232
dc.identifier.volume8
dc.language.isoen
dc.publisherBursa Teknik Üniversitesi
dc.relation.ispartofJournal of Innovative Science and Engineering
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20260207
dc.subjectNumerical Solution of Differential and Integral Equations
dc.subjectDiferansiyel ve İntegral Denklemlerin Sayısal Çözümü
dc.titleApplication of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation
dc.typeArticle

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