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

• Grant number: 14/05024-8
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2014
• End date: 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)

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)

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)

DIMAS, STYLIANOS; FREIRE, IGOR LEITE. Study of a fifth order PDE using symmetries. Applied Mathematics Letters, v. 69, p. 121-125, JUL 2017. (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)

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, JUN 2018. (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, MAR 2016. (11/19089-6, 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, JAN 1 2017. (14/05024-8)