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The fractional wave propagation, dynamical investigation, and sensitive visualization of the continuum isotropic bi-quadratic Heisenberg spin chain process

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dc.contributor.author Faridi, Waqas Ali
dc.contributor.author Asjad, Muhammad Imran
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-05-08T08:22:00Z
dc.date.available 2024-05-08T08:22:00Z
dc.date.issued 2022-12
dc.identifier.citation Faridi, Waqas Ali; Asjad, Muhammad Imran; Jarad, F. (2022). "The fractional wave propagation, dynamical investigation, and sensitive visualization of the continuum isotropic bi-quadratic Heisenberg spin chain process", Results in Physics, Vol.43. tr_TR
dc.identifier.issn 22113797
dc.identifier.uri http://hdl.handle.net/20.500.12416/8160
dc.description.abstract This paper deals with the Lakshmanan-Porsezian-Daniel equation which delineates the continuum isotropic bi-quadratic Heisenberg spin chain phenomenon. A new auxiliary equation method is exerted on the considered equation to find solitary wave profiles. It is a simple and powerful approach for developing innovative wave profiles based on diverse soliton families such as trigonometric functions, rational, hyperbolic trigonometric function and exponential function etc. As a result, the solitonic wave patterns attain such as dark, bright, dark-bright, singular, rational, periodic-singular, exponential, and periodic solitons etc. The deep dynamical aspects of the governing model study by performing the chaos and sensitivity analysis. The planer dynamical system of equation develop and satisfy the Hamiltonian criteria to assure that, the developed system is Hamiltonian dynamical system and contains all traveling wave structures and the system is conservative. The graphical explanation of energy levels presents the significant insights and the existence of closed-form solutions to the model. The periodic, quasi-periodic, and quasi-periodic-chaotic profiles are present to see the deep dynamics of the continuum isotropic bi-quadratic Heisenberg spin chain system. The graphically visualization for sensitivity analysis of the governing equation portraits by taking some initial values to verify its dependence. It is shown that, the model is more sensitive regarding to initial conditions rather then parameters. The graphical two dimensional, three dimensional, and contour visualization of the obtained results are presented to express the pulse propagation behavior by assuming the appropriate values of the involved parameters. The impact of fractional parameter is displayed in the graphical sense. The fractional order controls the soliton behaviour which means that, the prediction and precautions can be constructed about the physical phenomenon of the continuum isotropic bi-quadratic Heisenberg spin chain. As a results, the fractional order exhibits the states of distortion in continuum bi-quadratic magnetic system with non-zero vector on which the form evaluates to zero. The graphical two dimensional, three dimensional, and contour visualization of the obtained results are presented to express the pulse propagation behavior by assuming the appropriate values of the involved parameters. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.rinp.2022.106039 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Analytical Solution tr_TR
dc.subject Chaos Theory tr_TR
dc.subject Hamiltonian Function tr_TR
dc.subject Lakshmanan-Porsezian-Daniel Equation tr_TR
dc.subject New Auxiliary Equation Scheme tr_TR
dc.subject Sensitive Analysis tr_TR
dc.title The fractional wave propagation, dynamical investigation, and sensitive visualization of the continuum isotropic bi-quadratic Heisenberg spin chain process tr_TR
dc.type article tr_TR
dc.relation.journal Results in Physics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 43 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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