Full text
| |
| Author(s): |
Alexis Roa Aguirre
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | São Paulo. 2014-06-11. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo |
| Defense date: | 2012-09-27 |
| Advisor: | Abraham Hirsz Zimerman |
| Abstract | |
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) | |
| FAPESP's process: | 08/06555-6 - Integrable Systems - Solutions |
| Grantee: | Alexis Roa Aguirre |
| Support Opportunities: | Scholarships in Brazil - Doctorate |