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Special and vortex solutions of the mixed P_III-V equation

Grant number: 19/03092-0
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): July 01, 2019
Effective date (End): June 30, 2020
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Abraham Hirsz Zimerman
Grantee:Victor César Costa Alves
Supervisor abroad: Henrik Aratyn
Home Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Local de pesquisa : 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.

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