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
• City of the host institution: São Paulo
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

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

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)