Publication:
Painleve Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrodinger Equation

dc.contributor.authorKudryashov, N. A.
dc.contributor.authorLavrova, S. F.
dc.contributor.authorКудряшов, Николай Алексеевич
dc.contributor.authorЛаврова, София Федоровна
dc.date.accessioned2024-12-04T11:39:54Z
dc.date.available2024-12-04T11:39:54Z
dc.date.issued2024
dc.description.abstractThe second partial differential equation from the Kaupў??Newell hierarchy is considered. This equation can be employed to model pulse propagation in optical fiber, wave propagation in plasma, or high waves in the deep ocean. The integrability of the explored equation in traveling wave variables is investigated using the Painlevѓ? test. Periodic and solitary wave solutions of the studied equation are presented. The investigated equation belongs to the class of generalized nonlinear Schrѓ?dinger equations and may be used for the description of optical solitons in a nonlinear medium.
dc.identifier.citationKudryashov, N. A. Painleve Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrodinger Equation / Kudryashov, N.A., Lavrova, S.F. // Mathematics. - 2024. - 12. - № 11. - 10.3390/math12111632
dc.identifier.doi10.3390/math12111632
dc.identifier.urihttps://www.doi.org/10.3390/math12111632
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85195675110&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/26059
dc.relation.ispartofMathematics
dc.subjectNonlinear Schrѓ?dinger Equation
dc.subjectPeriodic Wave Solutions
dc.subjectSchrѓ?dinger Equation
dc.subjectNonlinear Equations
dc.subjectDerivative (finance)
dc.titlePainleve Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrodinger Equation
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue11
oaire.citation.volume12
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