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Type-II defects in integrable classical field theories

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Autor(es):
Alexis Roa Aguirre
Número total de Autores: 1
Tipo de documento: Tese de Doutorado
Imprenta: São Paulo. 2014-06-11.
Instituição: Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo
Data de defesa:
Orientador: Abraham Hirsz Zimerman
Resumo

In this thesis we discuss the integrability properties of two-dimensional classical field theories in the presence of discontinuities or type-II defects, mainly using the language of the inverses cattering approach. We present a general method to compute the generating function of an infinite set of modified conserved quantities for any integrable field equation givent heir associated linear problems and computing their corresponding defect matrices. We apply this method to derive in particular defect contributions to the energy and momentum for several models and show the relationship between the integrable defect conditions and the Bäcklund transformations for each model (AU)

Processo FAPESP: 08/06555-6 - Sistemas Integraveis - Solucoes
Beneficiário:Alexis Roa Aguirre
Modalidade de apoio: Bolsas no Brasil - Doutorado