Chirped self-similar pulses and envelope solutions for a nonlinear Schrödinger's in optical fibers using Lie group method

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dc.contributor.authorIskenderoglu, Gulistan
dc.contributor.authorKaya, Dogan
dc.date.accessioned2023-01-20T09:14:14Z
dc.date.available2023-01-20T09:14:14Z
dc.date.issued2022en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work, we present an application of Lie group analysis to study the generalized derivative nonlinear Schrodinger ¨ equation, which governs the evolution of a nonlinear wave and plays an important role in the propagation of short pulses in optical fiber systems. To construct Lie group reductions, we study the symmetry properties and introduce various infinitesimal operators. Further, we obtain self-similar solutions and periodic soliton solutions of the generalized derivative nonlinear Schrodinger ¨ equation. This type of solution plays a vital role in the study of the blow-up and asymptotic behavior of non-global solutions. And at the end, we present graphs for each solution by considering the physical meaning of the solutions.en_US
dc.identifier.doi10.1016/j.chaos.2022.112453en_US
dc.identifier.scopus2-s2.0-85135382821en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/6113
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2022.112453
dc.identifier.wosWOS:000843829900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectLie groups Nonlinear Schrodinger ¨ equations Self-similar solutionsen_US
dc.titleChirped self-similar pulses and envelope solutions for a nonlinear Schrödinger's in optical fibers using Lie group methoden_US
dc.typeArticleen_US

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