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Embedded Solitons of the Generalized Nonlinear Schrodinger Equation with High Dispersion

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dc.contributor.authorKudryashov, N. A.
dc.contributor.authorКудряшов, Николай Алексеевич
dc.date.accessioned2024-12-25T11:02:40Z
dc.date.available2024-12-25T11:02:40Z
dc.date.issued2022
dc.description.abstractThe family of generalized Schrödinger equations is considered with the Kerr nonlinearity. The partial differential equations are not integrable by the inverse scattering transform and new solutions of this family are sought taking into account the traveling wave reduction. The compatibility of the overdetermined system of equations is analyzed and constraints for parameters of equations are obtained.A modification of the simplest equation method for finding embedded solitons is presented.A block diagram for finding a solution to the nonlinear ordinary differential equation isgiven. The theorem on the existence of bright solitons for differential equations of any orderwith Kerr nonlinearity of the family considered is proved. Exact solutions of embedded solitonsdescribed by fourth-, sixth-, eighth and tenth-order equations are found using the modified algorithm of the simplest equation method. New solutions for embedded solitons of generalized nonlinear Schrödinger equations with several extremes are obtained. © 2022, Pleiades Publishing, Ltd.
dc.format.extentС. 680-696
dc.identifier.citationKudryashov, N. A. Embedded Solitons of the Generalized Nonlinear Schrodinger Equation with High Dispersion / Kudryashov, N.A. // Regular and Chaotic Dynamics. - 2022. - 27. - № 6. - P. 680-696. - 10.1134/S1560354722060065
dc.identifier.doi10.1134/S1560354722060065
dc.identifier.urihttps://www.doi.org/10.1134/S1560354722060065
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85143608807&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000901013600006
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/27704
dc.relation.ispartofRegular and Chaotic Dynamics
dc.subjectembedded soliton
dc.subjectexact solution
dc.subjectgeneralized Schrödinger equation
dc.subjectoptical soliton
dc.subjectsimplest equation method
dc.titleEmbedded Solitons of the Generalized Nonlinear Schrodinger Equation with High Dispersion
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue6
oaire.citation.volume27
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