Quasi-integrability and the stable solutions of two dimensional soliton equations

• Grant number: 22/06243-1
• Support type: Research Grants - Visiting Researcher Grant - International
• Duration: August 03, 2022 - September 02, 2022
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal researcher: Luiz Agostinho Ferreira
• Grantee: Luiz Agostinho Ferreira
• Visiting researcher: Nobuyuki Sawado
• Visiting researcher institution: Tokyo University of Science (TUS), Japan
• Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The objective of the visit of Prof. N. Sawado is to study, in collaboration with the group of Prof. Ferreira, models in (2+1)-dimensions which are not integrable but that possess localized soliton solutions in two spatial dimensions, rapid decaying in all directions, which are stable in the long-term time evolution. More specifically we shall consider the equations of Zakharov-Kuznetsov and Davey-Stewartson I, as well as models describing the geophysical fluid dynamics of the atmosphere, or ocean, on a rotating planet. Such models find applications in non-linear phenomena in several areas of science. The visit will certainly open a new topic of research for the two collaborating groups. (AU)