Abraham Hirsz Zimerman

• Abstract

  This project aims the study of integrable field theories, infinite dimensional algebras and soliton theory with the objective of developing methods in non-linear phenomena and non-perturbative aspects of field theories. The project is the natural continuation of the work being developed by the group in the past few years on those topics and will be implemented following two main direction…

  Solitons, infinite symmetries and integrable field theories, AP.TEM

• Abstract

  This project aims to give continuity to the study of symmetries and soliton solutions in integrable models and their applications to the field theory and elementary particles. In particular, this project will be developed through the application of Lie algebraic methods, both in the formulation of integrable models in two or more dimensions as well as in the construction of soliton soluti…

  Integrable models, solitons and duality, AP.TEM
• Henrik Aratyn | University of Illinois at Chicago - Estados Unidos, AV.EXT

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

• Abstract

  1)The 2M-Bose integrable model has been continually studied by the IFT-Unesp group in collaboration with Prof. Aratyn from the University of Illinois in Chicago for several values of M, and at on of its simplest slopes it reveals itself obeying the conjecture proposed by Ablowitz, Ramani and Segur, where an integrable system reduces at a self-similarity limit to a system of equations with…

  Integrable 6-Bose System/ Integrable Lattice Hierarquies, BP.DR

• Abstract

  This project concerns the study of different classical and quantum aspects of the integrable type-II defects in two-dimensional field theories. In particular, at quantum level we are interested in constructing the transmission matrices for the integrable defects allowed in Toda models associated specially with the non-simply laced affine Lie algebras B_n^{(1)} and C_n^{(1)}, by solving a …

  Integrable Defects in Field Theory: Classical Aspects and Quantum Groups, BP.PD
• Integrable Origin of Higher Order Painlevé Equations, BP.DR

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

• Abstract

  This project concerns the study of the special function and vortex solutions of the mixed Painlevé equation introduced by us to theliterature and denoted as Painleve III-V. These efforts will significantly extend results obtained in our previous work. Also the study of Backlund Transformations for the equation Painleve 34 will be undertaken to obtain and study the structure and an infinit…

  Special and vortex solutions of the mixed P_III-V equation, BE.EP.DR

• Abstract

  The purpose of this research project concerns the application of an algebraic approach to the study of different quantum aspects of the integrable type-II defects in two-dimensional field theories. In particular, we are interested in extending the folding process of the affine Lie algebras for the quantum groups case, and to construct the transmission matrices associated to the integrable…

  Folding in quantum groups, fusing defects and transmission matrices, BE.EP.PD