A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method

[EN] In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation. This modification yields the right Lax pair and allows us to implement binary Dar...

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Detalles Bibliográficos
Autores: Albares Vicente, Paz, García Estévez, Pilar
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/169888
Acceso en línea:http://hdl.handle.net/10366/169888
Access Level:acceso abierto
Palabra clave:Integrability
Complex mKdV equation
Singular Manifold Method
Lax pair
Derboux transformations
Soliton solutions
1202.20 Ecuaciones Diferenciales en derivadas Parciales
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spelling A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold MethodAlbares Vicente, PazGarcía Estévez, PilarIntegrabilityComplex mKdV equationSingular Manifold MethodLax pairDerboux transformationsSoliton solutions1202.20 Ecuaciones Diferenciales en derivadas Parciales[EN] In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation. This modification yields the right Lax pair and allows us to implement binary Darboux transformations, which can be used to construct an iterative method to obtain exact solutionsThis research has been supported by MICINN (Grant PID2019-106820RB-C22) and Junta de Castilla y León (Grant SA121P20).MDPI202620262023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/10366/169888reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésMinisterio de Ciencia, Innovación y Universidades (PID2019-106820RB-C22)Junta de Castilla y León (SA121P20)Atribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1698882026-06-07T06:28:51Z
dc.title.none.fl_str_mv A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
title A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
spellingShingle A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Albares Vicente, Paz
Integrability
Complex mKdV equation
Singular Manifold Method
Lax pair
Derboux transformations
Soliton solutions
1202.20 Ecuaciones Diferenciales en derivadas Parciales
title_short A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
title_full A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
title_fullStr A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
title_full_unstemmed A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
title_sort A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
dc.creator.none.fl_str_mv Albares Vicente, Paz
García Estévez, Pilar
author Albares Vicente, Paz
author_facet Albares Vicente, Paz
García Estévez, Pilar
author_role author
author2 García Estévez, Pilar
author2_role author
dc.subject.none.fl_str_mv Integrability
Complex mKdV equation
Singular Manifold Method
Lax pair
Derboux transformations
Soliton solutions
1202.20 Ecuaciones Diferenciales en derivadas Parciales
topic Integrability
Complex mKdV equation
Singular Manifold Method
Lax pair
Derboux transformations
Soliton solutions
1202.20 Ecuaciones Diferenciales en derivadas Parciales
description [EN] In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation. This modification yields the right Lax pair and allows us to implement binary Darboux transformations, which can be used to construct an iterative method to obtain exact solutions
publishDate 2023
dc.date.none.fl_str_mv 2023
2026
2026
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/169888
url http://hdl.handle.net/10366/169888
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Ministerio de Ciencia, Innovación y Universidades (PID2019-106820RB-C22)
Junta de Castilla y León (SA121P20)
dc.rights.none.fl_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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