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Painleve Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan — Kundu — Lakshmanan Equation

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dc.contributor.authorKudryashov, N. A.
dc.contributor.authorSafonova, D. V.
dc.contributor.authorBiswas, A.
dc.contributor.authorКудряшов, Николай Алексеевич
dc.contributor.authorСафонова, Дарья Владимировна
dc.date.accessioned2024-11-21T15:19:02Z
dc.date.available2024-11-21T15:19:02Z
dc.date.issued2019
dc.description.abstract© 2019, Pleiades Publishing, Ltd.This paper considers the Radhakrishnan — Kundu — Laksmanan (RKL) equation to analyze dispersive nonlinear waves in polarization-preserving fibers. The Cauchy problem for this equation cannot be solved by the inverse scattering transform (IST) and we look for exact solutions of this equation using the traveling wave reduction. The Painlevé analysis for the traveling wave reduction of the RKL equation is discussed. A first integral of traveling wave reduction for the RKL equation is recovered. Using this first integral, we secure a general solution along with additional conditions on the parameters of the mathematical model. The final solution is expressed in terms of the Weierstrass elliptic function. Periodic and solitary wave solutions of the RKL equation in the form of the traveling wave reduction are presented and illustrated.
dc.format.extentС. 607-614
dc.identifier.citationKudryashov, N. A. Painleve Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan — Kundu — Lakshmanan Equation / Kudryashov, N.A., Safonova, D.V., Biswas, A. // Regular and Chaotic Dynamics. - 2019. - 24. - № 6. - P. 607-614. - 10.1134/S1560354719060029
dc.identifier.doi10.1134/S1560354719060029
dc.identifier.urihttps://www.doi.org/10.1134/S1560354719060029
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85076378823&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000511339400002
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/19003
dc.relation.ispartofRegular and Chaotic Dynamics
dc.titlePainleve Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan — Kundu — Lakshmanan Equation
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue6
oaire.citation.volume24
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