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Structure of optical soliton solution for nonliear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term

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dc.contributor.author Alabedalhadi, Mohammed
dc.contributor.author Al-Smadi, Mohammed
dc.contributor.author Al-Omari, Shrideh
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Momani, Shaher
dc.date.accessioned 2023-01-16T07:54:20Z
dc.date.available 2023-01-16T07:54:20Z
dc.date.issued 2020-10
dc.identifier.citation Alabedalhadi, Mohammed...et al. (2020). "Structure of optical soliton solution for nonliear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term", Physica Scripta, Vol. 95, No. 10. tr_TR
dc.identifier.issn 0031-8949
dc.identifier.uri http://hdl.handle.net/20.500.12416/6067
dc.description.abstract Nonclassical quantum mechanics along with dispersive interactions of free particles, long-range boson stars, hydrodynamics, harmonic oscillator, shallow-water waves, and quantum condensates can be modeled via the nonlinear fractional Schrödinger equation. In this paper, various types of optical soliton wave solutions are investigated for perturbed, conformable space-time fractional Schrödinger model competed with a weakly nonlocal term. The fractional derivatives are described by means of conformable space-time fractional sense. Two different types of nonlinearity are discussed based on Kerr and dual power laws for the proposed fractional complex system. The method employed for solving the nonlinear fractional resonant Schrödinger model is the hyperbolic function method utilizing some fractional complex transformations. Several types of exact analytical solutions are obtained, including bright, dark, singular dual-power-type soliton and singular Kerr-type soliton solutions. Moreover, some graphical simulations of those solutions are provided for understanding the physical phenomena. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1088/1402-4896/abb739 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Complex Fractional Nonlinear Partial Differential Equation tr_TR
dc.subject Conformable Derivative tr_TR
dc.subject Resonant Schrödinger Equation tr_TR
dc.title Structure of optical soliton solution for nonliear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term tr_TR
dc.type article tr_TR
dc.relation.journal Physica Scripta tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 95 tr_TR
dc.identifier.issue 10 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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