Localized Solutions of Soliton Supporting Dynamical Systems

• Grant number: 22/10525-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 16, 2023
• End date: December 15, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Yuri Dimitrov Bozhkov
• Grantee: Yuri Dimitrov Bozhkov
• Visiting researcher: Michail Dimov Todorov
• Visiting researcher institution: Technical University of Sofia, Bulgaria
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We will study soliton solutions of dynamical systems modeled by some classes of differential equations like the nonlinear vector Schrodinger equation, Boussinesq equation, Gross-Pitaevsky equation and theirs generalizations in higher spatial dimensions using analytical and numerical methods and algorithms. (AU)