Angular pseudomomentum theory for the generalized nonlinear Schrodinger equation in discrete rotational symmetry media
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Angular pseudomomentum theory for the generalized nonlinear Schrodinger equation in discrete rotational symmetry media
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| dc.contributor.author | Garcia March, Miguel Angel
|
es_ES |
| dc.contributor.author | Ferrando Cogollos, Albert
|
es_ES |
| dc.contributor.author | Zacarés González, Mario
|
es_ES |
| dc.contributor.author | Vijande, J.
|
es_ES |
| dc.contributor.author | Carr, L. D.
|
es_ES |
| dc.date.accessioned | 2022-06-01T18:07:09Z | |
| dc.date.available | 2022-06-01T18:07:09Z | |
| dc.date.issued | 2009-07-15 | es_ES |
| dc.identifier.issn | 0167-2789 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10251/183034 | |
| dc.description.abstract | [EN] We develop it complete mathematical theory for the symmetrical solutions of the generalized nonlinear Schrodinger equation based on the concept of angular pseudomomentum. We consider the symmetric solitons of a generalized nonlinear Schrodinger equation with a nonlinearity depending on the modulus of the field. We provide a rigorous proof of a set of mathematical results justifying that these solitons can be classified according to the irreducible representations of a discrete group. Then we extend this theory to non-stationary solutions and study the relationship between angular momentum and pseudomomentum. We illustrate these theoretical results with numerical examples. (C) 2008 Elsevier B.V. All rights reserved | es_ES |
| dc.description.sponsorship | This work was supported by Ministerio de Educacion y Ciencia, Spain (projects TIN2006-12890, FIS2005-01189). LDC acknowledges support by the National Science Foundation under Grant PHY-0547845 as part of the NSF CAREER program. M.Z. acknowledges support of Generalitat Valenciana, Spain, under contract APOSTD/2007/052. MA.G-M. and M.Z. acknowledge support of Generalitat Valenciana, Spain, under project GV2008-032. This work has been partially supported by the Structural Funds of the European Regional Development Fund (ERDF). | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.relation.ispartof | Physica D Nonlinear Phenomena | es_ES |
| dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
| dc.subject | Angular pseudomomentum | es_ES |
| dc.subject | Nonlinear Schrodinger equation | es_ES |
| dc.subject | Multidimensional discrete solitons | es_ES |
| dc.subject | Discrete symmetry media | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Angular pseudomomentum theory for the generalized nonlinear Schrodinger equation in discrete rotational symmetry media | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.1016/j.physd.2008.12.007 | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MEC//TIN2006-12890/ES/COMPONENTES DE NUEVA GENERACION PARA LA EXPLOTACION EFICIENTE DE INFRAESTRUCTURAS GRID EN ECIENCIA/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/NSF//PHY-0547845/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/GVA//APOSTD%2F2007%2F052/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/GVA//GV2008-032/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/ME//FIS2005-01189//ESTRUCTURAS ESPACIALES EN CRISTALES FOTÓNICOS NO LINEALES/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada | es_ES |
| dc.description.bibliographicCitation | Garcia March, MA.; Ferrando Cogollos, A.; Zacarés González, M.; Vijande, J.; Carr, LD. (2009). Angular pseudomomentum theory for the generalized nonlinear Schrodinger equation in discrete rotational symmetry media. Physica D Nonlinear Phenomena. 238(15):1432-1438. https://doi.org/10.1016/j.physd.2008.12.007 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | https://doi.org/10.1016/j.physd.2008.12.007 | es_ES |
| dc.description.upvformatpinicio | 1432 | es_ES |
| dc.description.upvformatpfin | 1438 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 238 | es_ES |
| dc.description.issue | 15 | es_ES |
| dc.relation.pasarela | S\409593 | es_ES |
| dc.contributor.funder | Generalitat Valenciana | es_ES |
| dc.contributor.funder | Ministerio de Educación | es_ES |
| dc.contributor.funder | National Science Foundation, EEUU | es_ES |
| dc.contributor.funder | Ministerio de Educación y Ciencia | es_ES |
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