Solitons of the (1+1)- and (2+1)-Dimensional Chiral Nonlinear Schrodinger Equations With the Jacobi Elliptical Function Method
| dc.contributor.author | Rezazadeh, Hadi | |
| dc.contributor.author | Javeed, Shumaila | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Korkmaz, Alper | |
| dc.contributor.author | Tala-Tebue, Eric | |
| dc.date.accessioned | 2024-10-24T07:55:02Z | |
| dc.date.accessioned | 2025-09-18T15:43:10Z | |
| dc.date.available | 2024-10-24T07:55:02Z | |
| dc.date.available | 2025-09-18T15:43:10Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | Our objective is to find new analytical solutions of the (1+1)- and (2+1)-dimensional Chiral nonlinear Schrodinger (CNLS) equations using the Jacobi elliptical function method. The CNLS equations play a significant role in the development of quantum mechanics, particularly in the field of quantum Hall effect. Soliton solutions of the considered models are obtained such as, cnoidal solutions, the hyperbolic solutions and the trigonometric solutions. The obtained analytical solutions are new in the literature. The stability conditions of these solutions are also given. The obtained stable solutions are presented graphically for some specific parameters. Moreover, the conditions of modulational instability for both models are provided. The proposed method can be useful to obtain the analytical solutions of nonlinear partial differential equations. | en_US |
| dc.identifier.citation | Tala-Tebue, Eric...et al (2023). "Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method", Qualitative Theory of Dynamical Systems, Vol. 22, No. 3. | en_US |
| dc.identifier.doi | 10.1007/s12346-023-00801-3 | |
| dc.identifier.issn | 1575-5460 | |
| dc.identifier.issn | 1662-3592 | |
| dc.identifier.scopus | 2-s2.0-85160029196 | |
| dc.identifier.uri | https://doi.org/10.1007/s12346-023-00801-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13869 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Qualitative Theory of Dynamical Systems | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Chiral Nonlinear Schrodinger Equations | en_US |
| dc.subject | Jacobi Elliptical Function Method | en_US |
| dc.subject | Cnoidal Solutions | en_US |
| dc.subject | Modulation Instability | en_US |
| dc.title | Solitons of the (1+1)- and (2+1)-Dimensional Chiral Nonlinear Schrodinger Equations With the Jacobi Elliptical Function Method | en_US |
| dc.title | Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Rezazadeh, Hadi/Aab-2926-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Tala-Tebue, Eric] Univ Dschang, Lab Automat & Informat Appl LAIA, IUT FV Bandjoun, BP 134, Bandjoun, Cameroon; [Rezazadeh, Hadi] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran; [Javeed, Shumaila] COMSATS Univ Islamabad, Dept Math, Pk Rd Chak Shahzad, Islamabad, Pakistan; [Javeed, Shumaila] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon; [Javeed, Shumaila] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd, TR-99138 Mersin, Turkiye; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung, Taiwan; [Korkmaz, Alper] Nord Stasse 9, Weimar, Germany | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 22 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | NLS equations (nonlinear Schrödinger equations) | |
| gdc.oaire.keywords | cnoidal solutions | |
| gdc.oaire.keywords | modulation instability | |
| gdc.oaire.keywords | chiral nonlinear Schrodinger equations | |
| gdc.oaire.keywords | Jacobi elliptical function method | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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