Qualitative aspects of equations describing pseudospherical surfaces

• Grant number: 24/01437-8
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2024
• End date: June 30, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Igor Leite Freire
• Grantee: Igor Leite Freire
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• City of the host institution: São Carlos
• Associated researchers: Altemir Bortuli Junior ; Georgios Papamikos ; Nazime Sales Filho ; Nilay Duruk Mutlubas ; Priscila Leal da Silva

Abstract

The project is focused on the study of analytical and geometric properties of certain non-local integrable models, continuing the research lines developed in processes 2020/02055-0 and 2022/00163-6. We intend to investigate connections between Cauchy problems, symmetries, and surfaces of negative curvature defined by the solutions of the studied problems. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DA SILVA, PRISCILA LEAL; FREIRE, IGOR LEITE; FILHO, NAZIME SALES. An integrable pseudospherical equation with pseudo-peakon solutions. Journal of Differential Equations, v. 419, p. 33-pg., 2025-02-25. (24/01437-8)