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Extended mixed AKNS-lund-regge model and its self-similarity reduction

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dc.contributor.authorRuy, D. V. [UNESP]
dc.contributor.authorde Melo, G. R.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal do Reconcavo da Bahia
dc.date.accessioned2018-12-11T16:56:25Z
dc.date.available2018-12-11T16:56:25Z
dc.date.issued2014-01-01
dc.description.abstractWe discuss the relation between the self-similarity reduction of the generalized mixed mKdV-sinh-Gordon model and the fourth-order equation obtained by Kudryashov in J. Phys. A: Math. Theor. 35 (2002) 93-99. Also, it is shown two particular solutions for this equation. Then, we extend the mixed AKNS-Lund-Regge model and study its self-similarity reduction. We obtain the fifth Painlevé equation as a particular case of this reduction and a fourth-order second-degree equation otherwise. The relation between a integrable model and a fourth-order second-degree equation is interesting because the general solution of this equation must have the Painlevé property due the Ablowitz, Ramani and Segur conjecture.en
dc.description.affiliationInstituto de Física Teórica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco II
dc.description.affiliationNúcleo Interdisciplinar em Ciência Engenharia e Tecnologia Centro de Ciências Exatas e Tecnológicas Universidade Federal do Reconcavo da Bahia Campus Universitário de Cruz das Almas Cruz das Almas
dc.description.affiliationUnespInstituto de Física Teórica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco II
dc.format.extent161-168
dc.identifierhttp://dx.doi.org/10.5890/DNC.2014.06.005
dc.identifier.citationDiscontinuity, Nonlinearity, and Complexity, v. 3, n. 2, p. 161-168, 2014.
dc.identifier.doi10.5890/DNC.2014.06.005
dc.identifier.issn2164-6414
dc.identifier.issn2164-6376
dc.identifier.scopus2-s2.0-84905385864
dc.identifier.urihttp://hdl.handle.net/11449/171653
dc.language.isoeng
dc.relation.ispartofDiscontinuity, Nonlinearity, and Complexity
dc.relation.ispartofsjr0,208
dc.relation.ispartofsjr0,208
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectAKNS-Lund-Regge
dc.subjectFourth-order second-degree equation
dc.subjectMixed models
dc.subjectPainlevé equations
dc.titleExtended mixed AKNS-lund-regge model and its self-similarity reductionen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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São Paulo - IFT - Instituto de Física Teórica