José Francisco Gomes

• Abstract

  This project concerns the study of integrable hierarchies within its algebraic formulation and zero curvature representation. (AU)

  Integrable Hierarchies, Solitons and Infinite Dimensional Algebras, AP.R

• Abstract

  The object of this project is to study the structure of non-linear equations (integrable) constructed in terms of an affine algebraic structure and the so called zero curvature representation. The algebraic methods employed are general and systematic for the construction of a series of time evolution equations known as hierarchy, its soliton solutions and Backlund transformations. The lat…

  Integrable defects, solitons and Backlund transformations, AP.R

• Abstract

  This project aims the study of the structure of a class of nonlinear equations constructed in terms of an affine algebraic structure and a zero curvature representation.The algebraic methods employed are systematic and sufficiently general for the construction of a series of equations of motion, dubbed hierarchy, its soliton solutions and the corresponding Backlund transformation…

  Integrable Hierarchies, Solitons and Infinite Dimensional Algebras, AP.R

• Abstract

  O Congresso terá três dias de duração, sendo que nos dois primeiros dias haverá três palestras, de professores convidados (1h cada), e seis apresentações orais (meia hora cada), feitas por alunos participantes do evento, sobre suas pesquisas. No terceiro dia haverá duas palestras (1h cada) com professores convidados e seis apresentações orais dos alunos participantes do evento. Além disso…

  XXXVII Congresso Paulo Leal Ferreira de Física, AO.R

(Only some records are available in English at this moment)

• Abstract

  The object of this project is to give continuity to the study of Integrable Hierarchies that is being developed in IFT-Unesp in the past few years. It consist in studing a class on nonlinear equations constructed from an algebraic structure and zero curvature representation.

  Generalized Integrable Hierarchies, Solitons and Infinite Dimensional Algebras, BP.MS

• Abstract

  Este projeto dá continuidade ao estudo de Hierarquias Integráveis que temos desenvolvido nos últimos anos. Hierarquias integráveis consistem em um conjunto de equações não-lineares e dispersivas que admitem soluções do tipo (multi)-sólitons. Esse conjunto de equações são construídas em termos de uma estrutura Lie algébrica afim e infinita através da condição de curvatura nula. Também empr…

  Integrable Hierarchies, Solitons and Infinite Dimensional Algebras, BP.TT

• Abstract

  This project aims to study a class of non-linear (integrable) equations constructed in terms of an affine algebraic structure and the so called zero curvature representation. The algebraic methods used are systematic and sufficiently general for the construction of a series of time evolution equations named hierarchy, their soliton solutions and the so called Backlund transformations. …

  Infinite Algebras, Solitons and Integrable Defects, BP.DR

• Abstract

  The aim of this project is to study a class of nonlinear integrable equations constructed from an affine algebraic structure and the zero curvature representation. The algebraic methods employed are general and sistematic in order to construct a series of time evolution equations dubbed integrable hierarchy, its soliton solutions and Backlund transformations. The latter are employed to de…

  Integrable defects and backlund transformations for affine toda hierarchies, BP.MS

• Abstract

  This project intends to study and construct sistematically the Backlund Transformations for integrable hierarchies and its applications in models with defects. (AU)

  Backlund transformations in integrable hierarchies, solitons and integrable defects, BP.DR

(Only some records are available in English at this moment)

• Abstract

  Integrable models constitute an important topic in physics, as they provide techniques to obtain exact solutions for certain physical systems. This work aims to develop a systematic formalism to classify deformations that preserve the integrability of models using the Boost operator technique. Specifically, we aim to apply this formalism to obtain integrable deformations of the Hubbard mo…

  Finding Integrable Deformations, BE.EP.DR

• Abstract

  The project concerns the study of quantum group symmetries for the A_(2n-1)^(2) integrable open spin chains and the completeness of their Bethe ansatz solutions. Our conjecture is that the transfer matrix relative to two different boundary conditions for these models have symmetries U_q(C_n) and U_q(D_n).

  Quantum Group Symmetries for A_(2n-1)^(2) models, BE.EP.DR

• Abstract

  Aplicação de operadores “interwiners” na construção de equações solitônicas e a sua relação com operadores de vértice torcidos (twisted) construídos para hierarquias cKP (constrained KP). (AU)

  Sólitons e modelos integráveis, BE.PQ

• Abstract

  Este plano de pesquisa tem o objetivo de aplicar a teoria dos grupos quânticos no estudo de sistemas de estatística fracionária (Anyons). Em particular temos o interesse na construção dos geradores do grupo quântico em termos dos campos fundamentais dos Anyons. Estes objetos são construídos, não localmente, em termos de bósons ou férmions (osciladores). (AU)

  Aplicacao de grupos quanticos a sistemas de estatistica fracionaria., BE.PQ