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

dc.contributor.authorFaridi, Waqas Ali
dc.contributor.authorAsjad, Muhammad Imran
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-05-08T08:22:00Z
dc.date.available2024-05-08T08:22:00Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.description.publishedMonth12
dc.identifier.citationFaridi, 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.en_US
dc.identifier.doi10.1016/j.rinp.2022.106039
dc.identifier.issn22113797
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8160
dc.identifier.volume43en_US
dc.language.isoenen_US
dc.relation.ispartofResults in Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnalytical Solutionen_US
dc.subjectChaos Theoryen_US
dc.subjectHamiltonian Functionen_US
dc.subjectLakshmanan-Porsezian-Daniel Equationen_US
dc.subjectNew Auxiliary Equation Schemeen_US
dc.subjectSensitive Analysisen_US
dc.titleThe fractional wave propagation, dynamical investigation, and sensitive visualization of the continuum isotropic bi-quadratic Heisenberg spin chain processtr_TR
dc.titleThe Fractional Wave Propagation, Dynamical Investigation, and Sensitive Visualization of the Continuum Isotropic Bi-Quadratic Heisenberg Spin Chain Processen_US
dc.typeArticleen_US
dspace.entity.typePublication

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