Symmetries of nonlinear differential equations

• Grant number: 09/17308-2
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2010
• End date: January 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Yuri Dimitrov Bozhkov
• Grantee: Yuri Dimitrov Bozhkov
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas

Abstract

We intend to perform complete Group Analysis of various nonlinear diffrential equations and systems coming from Analysis, Differentail Geometry, Mathematical Physics, Biology, using variational methods, symmetry Lie groups, Pohozaev and Rellich type Identities, and symbolic calculation programs. (AU)