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The (2+1)-Dimensional Hyperbolic Nonlinear Schrodinger Equation and Its Optical Solitons

dc.contributor.author Hosseini, Kamyar
dc.contributor.author Salahshour, Soheil
dc.contributor.author Sadri, Khadijeh
dc.contributor.author Mirzazadeh, Mohammad
dc.contributor.author Park, Choonkil
dc.contributor.author Ahmadian, Ali
dc.contributor.author Baleanu, Umitru
dc.date.accessioned 2023-01-27T10:46:10Z
dc.date.accessioned 2025-09-18T14:09:04Z
dc.date.available 2023-01-27T10:46:10Z
dc.date.available 2025-09-18T14:09:04Z
dc.date.issued 2021
dc.description Salahshour, Soheil/0000-0003-1390-3551; Sadri Khatouni, Khadijeh/0000-0001-6083-9527; Ahmadian, Ali/0000-0002-0106-7050 en_US
dc.description.abstract A comprehensive study on the (2+1)-dimensional hyperbolic nonlinear Schrodinger (2D-HNLS) equation describing the propagation of electromagnetic fields in self-focusing and normally dispersive planar wave guides in optics is conducted in the current paper. To this end, after reducing the 2D-HNLS equation to a one-dimensional nonlinear ordinary differential (1D-NLOD) equation in the real regime using a traveling wave transformation, its optical solitons are formally obtained through a group of well-established methods such as the exponential and Kudryashov methods. Some graphical representations regarding optical solitons that are categorized as bright and dark solitons are considered to clarify the dynamics of the obtained solutions. It is noted that some of optical solitons retrieved in the current study are new and have been not retrieved previously. en_US
dc.identifier.citation Baleanu, Dumitru...et al. (2021). "The (2+1)-dimensional hyperbolic nonlinear Schrodinger equation and its optical solitons", AIMS Mathematics, Vol. 6, No. 9, pp. 9568-9581. en_US
dc.identifier.doi 10.3934/math.2021556
dc.identifier.issn 2473-6988
dc.identifier.scopus 2-s2.0-85109004015
dc.identifier.uri https://doi.org/10.3934/math.2021556
dc.identifier.uri https://hdl.handle.net/20.500.12416/13258
dc.language.iso en en_US
dc.publisher Amer inst Mathematical Sciences-aims en_US
dc.relation.ispartof AIMS Mathematics
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject (2+1)-Dimensional Hyperbolic Nonlinear Schrodinger Equation en_US
dc.subject Electromagnetic Fields en_US
dc.subject Traveling Wave Transformation en_US
dc.subject Exponential And Kudryashov Methods en_US
dc.subject Bright And Dark Solitons en_US
dc.title The (2+1)-Dimensional Hyperbolic Nonlinear Schrodinger Equation and Its Optical Solitons en_US
dc.title The (2+1)-dimensional hyperbolic nonlinear Schrodinger equation and its optical solitons tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Salahshour, Soheil/0000-0003-1390-3551
gdc.author.id Sadri Khatouni, Khadijeh/0000-0001-6083-9527
gdc.author.id Ahmadian, Ali/0000-0002-0106-7050
gdc.author.scopusid 7005872966
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gdc.author.scopusid 36450796300
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gdc.author.wosid Salahshour, Soheil/K-4817-2019
gdc.author.wosid Mirzazadeh, Mohammad/Y-3202-2019
gdc.author.wosid Sadri, Khadijeh/Jwa-5374-2024
gdc.author.wosid Hosseini, Kamyar/J-7345-2019
gdc.author.wosid Park, Choonkil/F-6998-2017
gdc.author.wosid Ahmadian, Ali/N-3697-2015
gdc.author.yokid 56389
gdc.bip.impulseclass C4
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gdc.bip.popularityclass C4
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Baleanu, Umitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Umitru] Inst Space Sci, Magurele, Romania; [Baleanu, Umitru] China Med Univ, Dept Med Res, Taichung 40447, Taiwan; [Hosseini, Kamyar; Sadri, Khadijeh] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran; [Salahshour, Soheil] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey; [Mirzazadeh, Mohammad] Univ Guilan, Dept Engn Sci, Fac Technol & Engn, Rudsar Vajargah 4489163157, Iran; [Park, Choonkil] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea; [Ahmadian, Ali] Natl Univ Malaysia, Inst IR 4 0, Bangi 43600, Selangor, Malaysia en_US
gdc.description.endpage 9581 en_US
gdc.description.issue 9 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 9568 en_US
gdc.description.volume 6 en_US
gdc.description.woscitationindex Science Citation Index Expanded
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gdc.oaire.keywords electromagnetic fields
gdc.oaire.keywords exponential and kudryashov methods
gdc.oaire.keywords bright and dark solitons
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Biochemistry
gdc.oaire.keywords Gene
gdc.oaire.keywords Nonlinear optical
gdc.oaire.keywords traveling wave transformation
gdc.oaire.keywords Discrete Solitons in Nonlinear Photonic Systems
gdc.oaire.keywords Nonlinear Photonic Systems
gdc.oaire.keywords (2+1)-dimensional hyperbolic nonlinear schrödinger equation
gdc.oaire.keywords QA1-939
gdc.oaire.keywords Nonlinear Schrödinger equation
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Nonlinear Schrödinger Equation
gdc.oaire.keywords Nonlinear Equations
gdc.oaire.keywords Computer graphics (images)
gdc.oaire.keywords Physics
gdc.oaire.keywords Exponential function
gdc.oaire.keywords Statistical and Nonlinear Physics
gdc.oaire.keywords Computer science
gdc.oaire.keywords Atomic and Molecular Physics, and Optics
gdc.oaire.keywords Hyperbolic function
gdc.oaire.keywords Parity-Time Symmetry in Optics and Quantum Mechanics
gdc.oaire.keywords Chemistry
gdc.oaire.keywords Photonics
gdc.oaire.keywords Physics and Astronomy
gdc.oaire.keywords Mathematical physics
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Transformation (genetics)
gdc.oaire.keywords Planar
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Rogue Waves in Nonlinear Systems
gdc.oaire.keywords Soliton solutions
gdc.oaire.keywords Kudryashov method
gdc.oaire.keywords PDEs in connection with optics and electromagnetic theory
gdc.oaire.keywords NLS equations (nonlinear Schrödinger equations)
gdc.oaire.keywords Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
gdc.oaire.keywords hyperbolic nonlinear Schrödinger equation
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gdc.opencitations.count 21
gdc.plumx.crossrefcites 11
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gdc.scopus.citedcount 24
gdc.virtual.author Baleanu, Dumitru
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