Henrik Aratyn | University of Illinois at Chicago - Estados Unidos

• Grant number: 05/04602-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: May 12, 2006
• End date: August 09, 2006
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: José Francisco Gomes
• Grantee: José Francisco Gomes
• Visiting researcher: Henrik Aratyn
• Visiting researcher institution: University of Illinois at Chicago (UIC), United States
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil

Abstract

This research project is based upon the construction and classification of integrable hierarchies in terms of its generalized algebraic structure. In particular, the algebaric formalism to acomodate supersymmetric Integrable models, as well as the sistematic construction of soliton solutions, will be developed. We also intend to generalize to the supersymmetric case, the Hamiltonian structure obtained within the bosonic Camassa-Holm equation. (AU)