Special and vortex solutions of the mixed P_III-V equation

• Grant number: 19/03092-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: July 01, 2019
• End date: June 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Abraham Hirsz Zimerman
• Grantee: Victor César Costa Alves
• Supervisor: Henrik Aratyn
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Institution abroad: University of Illinois at Chicago (UIC), United States
• Associated to the scholarship: 16/22122-9 - Integrable 6-Bose System/ Integrable Lattice Hierarquies, BP.DR

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 infinite chain of rational solutions.

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)

ALVES, V. C. C.; ARATYN, H.; GOMES, J. F.; ZIMERMAN, A. H.. Coalescence, deformation and Backlund symmetries of Painleve IV and II equations. Journal of Physics A-Mathematical and Theoretical, v. 53, n. 44, p. 24-pg., 2020-11-06. (19/03092-0, 16/22122-9)