An study of nonlinear systems in classical field theory in low dimensions

• Grant number: 12/04431-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2012
• End date: December 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Alvaro de Souza Dutra
• Grantee: Gustavo Pazzini de Brito
• Host Institution: Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil

Abstract

In this project, the student who is already familiarized with nonlinear systems, such like the Hamilton-Jacobi equations, classical and quantum versions, and also with the nonlinear systems that allow solitonics solutions, will have the opportunity to continue the work that has been developed since more than one year ago. Thus, after being introduced to the subject of nonlinear equations, the student will be able to learn technics and methods of analysis in classical eld theory, especially those related to systems with solutions of solitons kind, which has a great interest in physics, chemistry, biology, and in others natural sciences. Like part of the development of this work, the student must apply the knowledge acquired to some cases discussed in the literature.(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)

DE BRITO, G. P.; DUTRA, A. DE SOUZA. Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects. Physics Letters B, v. 736, p. 438-445, SEP 7 2014. (12/04431-3)

DE BRITO, G. P.; DE SOUZA DUTRA, A.. Multikink solutions and deformed defects. ANNALS OF PHYSICS, v. 351, p. 620-633, DEC 2014. (12/04431-3)