Mapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutions

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dc.contributor.authorAmaro de Faria, A. C.
dc.contributor.authorde Souza Dutra, A. [UNESP]
dc.contributor.authorDresseno, J. E.
dc.contributor.authorLourenço, R. E.
dc.contributor.institutionFederal Technological University of Parana - UTFPR-GP
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionFederal Technological University of Parana - UTFPR
dc.date.accessioned2023-07-29T13:29:26Z
dc.date.available2023-07-29T13:29:26Z
dc.date.issued2023-02-01
dc.description.abstractWe analyze a method for solving a second-order nonlinear differential equation in 1 + 1 dimensions, applying it to some nonlinear systems. A particular solution for systems with this dimensionality is known as kink. In this study, we focus on revealing that any kink in 1 + 1 dimensions, accruing from models with one scalar field, can be straightforwardly obtained from a scalar field solution to a first-order linear differential equation with constant coefficients. This is accomplished by a suitable field transformation and we examine a few models and analyze how the introduction of an underlying scalar field can shed new light on models with one scalar field. In this work, in contrast to what is expected, we show that any kink in (1 + 1) dimensions, originating from models with just one scalar field, can be obtained from a master linear first-order differential equation using a convenient field transformation, which leads to a linear differential equation for the transformation function. A general approach is introduced and discussed, including a few subsequent cogent and important physical applications. This approach for certain values of parameters presents symmetry breaking like the λϕ4 model. The other parameter values correspond to a model with no minima, presenting kink configurations for the scalar field. In this study, we focus on revealing that any kink in (1 + 1) dimensions, accruing from models with one scalar field, can be obtained from the master linear first-order differential equation. This is accomplished through a convenient field transformation, obeying a linear differential equation for the transformation function. After analyzing a few models, we present a new one using the method developed in this work.en
dc.description.affiliationFederal Technological University of Parana - UTFPR-GP, PR
dc.description.affiliationSao Paulo State University - Unes, Campus de Guaratinguetá, DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, P.C: 205, SP
dc.description.affiliationFederal Technological University of Parana - UTFPR, PR
dc.description.affiliationUnespSao Paulo State University - Unes, Campus de Guaratinguetá, DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, P.C: 205, SP
dc.identifierhttp://dx.doi.org/10.1007/s13538-022-01220-6
dc.identifier.citationBrazilian Journal of Physics, v. 53, n. 1, 2023.
dc.identifier.doi10.1007/s13538-022-01220-6
dc.identifier.issn1678-4448
dc.identifier.issn0103-9733
dc.identifier.scopus2-s2.0-85142264486
dc.identifier.urihttp://hdl.handle.net/11449/247917
dc.language.isoeng
dc.relation.ispartofBrazilian Journal of Physics
dc.sourceScopus
dc.subjectDeformed kinks
dc.subjectSolitons
dc.subjectSolution mapping
dc.titleMapping for BPS Solitons of Scalar Field Potentials in 1 + 1 Dimensions and Family of Solutionsen
dc.typeArtigo
unesp.departmentFísica e Química - FEGpt

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Guaratinguetá - FEG - Faculdade de Engenharia e Ciências