Invariance properties and conserved quantities: Noether's theorem and Ibragimov's theorem

• Grant number: 12/22725-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2013
• End date: September 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Igor Leite Freire
• Grantee: Priscila Leal da Silva
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

In this project we intend to study and compare Noether's and Ibragimov's approach and find conserved quantities related with Lie point symmetries of differential equations.

Scientific publications

(5)

(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)

DA SILVA, PRISCILA LEAL; FREIRE, IGOR LEITE. Symmetry analysis of a class of autonomous even-order ordinary differential equations. IMA JOURNAL OF APPLIED MATHEMATICS, v. 80, n. 6, p. 1739-1758, DEC 2015. (12/22725-4, 14/05024-8)

DA SILVA, PRISCILA LEAL; FREIRE, IGOR LEITE; SANTOS SAMPAIO, JULIO CESAR. A family of wave equations with some remarkable properties. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SC, v. 474, n. 2210, FEB 2018. (11/23538-0, 14/05024-8, 12/22725-4)

ANCO, STEPHEN C.; DA SILVA, PRISCILA LEAL; FREIRE, IGOR LEITE. A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations. Journal of Mathematical Physics, v. 56, n. 9, SEP 2015. (12/22725-4, 14/05024-8)

SAMPAIO, JULIO CESAR SANTOS; FREIRE, IGOR LEITE. SYMMETRIES AND SOLUTIONS OF A THIRD ORDER EQUATION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, n. SI, p. 981-989, 2015. (12/22725-4, 14/05024-8)

DA SILVA, PRISCILA LEAL; FREIRE, IGOR LEITE. AN EQUATION UNIFYING BOTH CAMASSA-HOLM AND NOVIKOV EQUATIONS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, n. SI, p. 304-311, 2015. (12/22725-4, 14/05024-8)