Properties of solutions (solitary wave) of systems of non linear dispersive equations

• Grant number: 09/16044-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 01, 2010
• End date: April 30, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcia Assumpcao Guimaraes Scialom
• Grantee: Marcia Assumpcao Guimaraes Scialom
• Visiting researcher: Mahendra Prasad Panthee
• Visiting researcher institution: Universidade do Minho (UMinho), Portugal
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project consists in studying the existence and stability of solitary wave solutions of a system of higher order nonlinear Schrodinger equations. We are also interested in studying global solutions of the generalized Korteweg-de Vries equation in the critical case with time oscillating non-linearity. (AU)