Negative Even Grade mKdV Hierarchy and its Soliton Solutions

Detalhes bibliográficos
Autor(a) principal: Gomes, J. F. [UNESP]
Data de Publicação: 2011
Outros Autores: de Melo, G. R. [UNESP], Starvaggi Franca, G. [UNESP], Zimerman, Abraham Hirsz [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1742-6596/284/1/012030
http://hdl.handle.net/11449/24590
Resumo: In this paper we discuss the algebraic construction of the mKdV hierarchy in terms of an affine Lie algebra (s) over capl(2). An interesting novelty araises from the negative even grade sector of the affine algebra leading to nonlinear integro-differential equations admiting non-trivial vacuum configuration. These solitons solutions are constructed systematically from generalization of the dressing method based on non zero vacua. The sub-hierarchies admiting such class of solutions are classified.
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spelling Negative Even Grade mKdV Hierarchy and its Soliton SolutionsIn this paper we discuss the algebraic construction of the mKdV hierarchy in terms of an affine Lie algebra (s) over capl(2). An interesting novelty araises from the negative even grade sector of the affine algebra leading to nonlinear integro-differential equations admiting non-trivial vacuum configuration. These solitons solutions are constructed systematically from generalization of the dressing method based on non zero vacua. The sub-hierarchies admiting such class of solutions are classified.Inst Fis Teor IFT Unesp, São Paulo, BrazilInst Fis Teor IFT Unesp, São Paulo, BrazilIop Publishing LtdUniversidade Estadual Paulista (Unesp)Gomes, J. F. [UNESP]de Melo, G. R. [UNESP]Starvaggi Franca, G. [UNESP]Zimerman, Abraham Hirsz [UNESP]2013-09-30T19:00:36Z2014-05-20T14:12:57Z2013-09-30T19:00:36Z2014-05-20T14:12:57Z2011-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject9application/pdfhttp://dx.doi.org/10.1088/1742-6596/284/1/012030Group 28: Physical and Mathematical Aspects of Symmetry: Proceedings of The 28th International Colloquium on Group-theoretical Methods In Physics. Bristol: Iop Publishing Ltd, v. 284, p. 9, 2011.1742-6588http://hdl.handle.net/11449/2459010.1088/1742-6596/284/1/012030WOS:000295845500030WOS000295845500030.pdf92877760781495518215976645016606Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengGroup 28: Physical and Mathematical Aspects of Symmetry: Proceedings of The 28th International Colloquium on Group-theoretical Methods In Physics0,241info:eu-repo/semantics/openAccess2023-12-16T06:23:33Zoai:repositorio.unesp.br:11449/24590Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:30:34.577303Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Negative Even Grade mKdV Hierarchy and its Soliton Solutions
title Negative Even Grade mKdV Hierarchy and its Soliton Solutions
spellingShingle Negative Even Grade mKdV Hierarchy and its Soliton Solutions
Gomes, J. F. [UNESP]
title_short Negative Even Grade mKdV Hierarchy and its Soliton Solutions
title_full Negative Even Grade mKdV Hierarchy and its Soliton Solutions
title_fullStr Negative Even Grade mKdV Hierarchy and its Soliton Solutions
title_full_unstemmed Negative Even Grade mKdV Hierarchy and its Soliton Solutions
title_sort Negative Even Grade mKdV Hierarchy and its Soliton Solutions
author Gomes, J. F. [UNESP]
author_facet Gomes, J. F. [UNESP]
de Melo, G. R. [UNESP]
Starvaggi Franca, G. [UNESP]
Zimerman, Abraham Hirsz [UNESP]
author_role author
author2 de Melo, G. R. [UNESP]
Starvaggi Franca, G. [UNESP]
Zimerman, Abraham Hirsz [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Gomes, J. F. [UNESP]
de Melo, G. R. [UNESP]
Starvaggi Franca, G. [UNESP]
Zimerman, Abraham Hirsz [UNESP]
description In this paper we discuss the algebraic construction of the mKdV hierarchy in terms of an affine Lie algebra (s) over capl(2). An interesting novelty araises from the negative even grade sector of the affine algebra leading to nonlinear integro-differential equations admiting non-trivial vacuum configuration. These solitons solutions are constructed systematically from generalization of the dressing method based on non zero vacua. The sub-hierarchies admiting such class of solutions are classified.
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01
2013-09-30T19:00:36Z
2013-09-30T19:00:36Z
2014-05-20T14:12:57Z
2014-05-20T14:12:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1742-6596/284/1/012030
Group 28: Physical and Mathematical Aspects of Symmetry: Proceedings of The 28th International Colloquium on Group-theoretical Methods In Physics. Bristol: Iop Publishing Ltd, v. 284, p. 9, 2011.
1742-6588
http://hdl.handle.net/11449/24590
10.1088/1742-6596/284/1/012030
WOS:000295845500030
WOS000295845500030.pdf
9287776078149551
8215976645016606
url http://dx.doi.org/10.1088/1742-6596/284/1/012030
http://hdl.handle.net/11449/24590
identifier_str_mv Group 28: Physical and Mathematical Aspects of Symmetry: Proceedings of The 28th International Colloquium on Group-theoretical Methods In Physics. Bristol: Iop Publishing Ltd, v. 284, p. 9, 2011.
1742-6588
10.1088/1742-6596/284/1/012030
WOS:000295845500030
WOS000295845500030.pdf
9287776078149551
8215976645016606
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Group 28: Physical and Mathematical Aspects of Symmetry: Proceedings of The 28th International Colloquium on Group-theoretical Methods In Physics
0,241
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 9
application/pdf
dc.publisher.none.fl_str_mv Iop Publishing Ltd
publisher.none.fl_str_mv Iop Publishing Ltd
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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