Algebraic structures in integrability theory

• Grant number: 16/07265-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 01, 2017
• End date: November 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Vladimir Sokolov
• Visiting researcher institution: Russian Academy of Sciences (RAS), Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

Algebraic structures that define coefficients of integrable evolution multi-component systems of PDEs with polynomial right hand sides are investigated. Such algebraic approach will be generalized to the case of integrable super-symmetric systems of Korteweg-de Vries type. Classification of associative anti-frobenius algebras, related to certain classes of quadratic non-abelian Poisson brackets, is planned. (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)

SHESTAKOV, IVAN P.; SOKOLOV, VLADIMIR V.. Multi-component generalizations of mKdV equation and nonassociative algebraic structures. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 04, p. 24-pg., 2021-04-01. (16/07265-8, 18/23690-6)