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Symmetries and conservation laws for differential equations arising from physical and biological systems

Grant number: 14/05024-8
Support Opportunities:Regular Research Grants
Duration: June 01, 2014 - August 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Igor Leite Freire
Grantee:Igor Leite Freire
Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Associated researchers: Mariano Torrisi ; Norberto Anibal Maidana ; Stylianos Dimas

Abstract

In this work we will study Lie point symmetries and approximate Lie point symmetries of differential equations arising from biomathematics and mathematical physics. It will also be considered conservation laws and approximate conservation laws of biological and physical models. Possible conections between integrable equations and self-adjointness will be investigated. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (9)
(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)
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, . (12/22725-4, 14/05024-8)
DIMAS, STYLIANOS; FREIRE, IGOR LEITE. Study of a fifth order PDE using symmetries. Applied Mathematics Letters, v. 69, p. 121-125, . (14/05024-8)
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, . (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, . (11/23538-0, 14/05024-8, 12/22725-4)
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, . (12/22725-4, 14/05024-8)
MOGOROSI, TSHEPO E.; FREIRE, IGOR L.; MUATJETJEJA, BEN; KHALIQUE, CHAUDRY MASOOD. Group analysis of a hyperbolic Lane-Emden system. Applied Mathematics and Computation, v. 292, p. 156-164, . (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, . (12/22725-4, 14/05024-8)
BACANI, FELIPO; DIMAS, STYLIANOS; FREIRE, IGOR LEITE; MAIDANA, NORBERTO ANIBAL; TORRISI, MARIANO. Mathematical modelling for the transmission of dengue: Symmetry and travelling wave analysis. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 41, p. 269-287, . (14/05024-8)
TRACINA, RITA; LEITE FREIRE, IGOR; TORRISI, MARIANO. Nonlinear self-adjointness of a class of third order nonlinear dispersive equations. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 32, p. 225-233, . (11/19089-6, 14/05024-8)

Please report errors in scientific publications list by writing to: gei-bv@fapesp.br.