Integrable defects, solitons and Backlund transformations

• Grant number: 21/14072-0
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2022
• End date: May 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: José Francisco Gomes
• Grantee: José Francisco Gomes
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated researchers: Abraham Hirsz Zimerman ; Clisthenis Ponce Constantinidis

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 latter describes integrable defects which interpolates between two soliton solutions. (AU)