Integrable defects and backlund transformations for affine toda hierarchies

• Grant number: 21/00623-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2021
• End date: March 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: José Francisco Gomes
• Grantee: Ysla França Adans
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil

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 describe integrable defects which interpolate between two soliton solutions. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ADANS, Ysla França. Construção generalizada de hierarquias Tzitzeica/Bullough–Dodd para álgebras A_2^(2r). 2023. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo São Paulo.