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Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries
dc.contributor.authorAlbares Vicente, Paz 
dc.contributor.authorGarcía Estévez, Pilar 
dc.contributor.authorLejarreta González, Juan Domingo 
dc.date.accessioned2026-02-19T07:30:11Z
dc.date.available2026-02-19T07:30:11Z
dc.date.issued2021
dc.identifier.issn0096-3003
dc.identifier.urihttp://hdl.handle.net/10366/169890
dc.description.abstract[EN] We present a generalized study and characterization of the integrability properties of the derivative non-linear Schrödinger equation in 1+1 dimensions. A Lax pair is derived for this equation by means of a Miura transformation and the singular manifold method. This procedure, together with the Darboux transformations, allow us to construct a wide class of rational soliton-like solutions. Clasical Lie symmetries have also been computed and similarity reductions have been analyzed and discussed.es_ES
dc.description.sponsorshipThis research has been supported by MICINN (Grant PID2019-106820RB-C22) and Junta de Castilla y León (Grant SA256P18). P. Albares also acknowledges support from the predoctoral grant FPU17/03246.es_ES
dc.format.mimetypeapplication/pdf
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectIntegrabilityes_ES
dc.subjectDerivative non-linear Schrödinger equationes_ES
dc.subjectSingular manifold methodes_ES
dc.subjectLax paires_ES
dc.subjectDarboux transformationses_ES
dc.subjectRational solitonses_ES
dc.subjectLie symmetrieses_ES
dc.subjectSimilarity reductionses_ES
dc.titleDerivative non-linear Schrödinger equation: Singular manifold method and Lie symmetrieses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publishversionhttps://doi.org/10.1016/j.amc.2021.126089es_ES
dc.subject.unesco1202.20 Ecuaciones Diferenciales en derivadas Parcialeses_ES
dc.identifier.doi10.1016/j.amc.2021.126089
dc.relation.projectIDMICINN (Grant PID2019-106820RB-C22)es_ES
dc.relation.projectIDJunta de Castilla y León (Grant SA256P18)es_ES
dc.relation.projectIDMICINN (FPU17/03246)es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.journal.titleApplied Mathematics and Computationes_ES
dc.volume.number400es_ES
dc.page.initial126089es_ES
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersiones_ES


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