Lie point symmetries and conservation laws for the Lane-Emden system

• Grant number: 11/19089-6
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2012
• End date: February 28, 2014
• 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

Abstract

In this project we find the Lie point symmetries, the Noether symmetries and conservation laws for the Lane-Emden system. (AU)

Scientific publications

(20)

(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)

FREIRE, IGOR LEITE; SANTOS SAMPAIO, JULIO CESAR. On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 19, n. 2, SI, p. 350-360, FEB 2014. (11/19089-6, 11/23538-0)

SANTOS SAMPAIO, JULIO CESAR; FREIRE, IGOR LEITE. Nonlinear Self-Adjoint Classification of a Burgers-KdV Family of Equations. Abstract and Applied Analysis, 2014. (11/19089-6, 11/23538-0)

BOZHKOV, YURI; FREIRE, IGOR LEITE; IBRAGIMOV, NAIL H.. Group analysis of the Novikov equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 33, n. 1, p. 193-202, APR 2014. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics. Nonlinear Analysis: Real World Applications, v. 14, n. 3, p. 1300-1307, JUN 2013. (11/19089-6, 11/20072-0)

FREIRE, IGOR LEITE; DA SILVA, PRISCILA LEAL; TORRISI, MARIANO. Lie and Noether symmetries for a class of fourth-order Emden-Fowler equations. Journal of Physics A-Mathematical and Theoretical, v. 46, n. 24, JUN 21 2013. (10/10259-3, 11/19089-6, 11/20072-0)

IGOR LEITE FREIRE. New conservation laws for inviscid Burgers equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 31, n. 3, p. 559-567, 2012-00-00. (11/19089-6)

Y. BOZHKOV; I.L. FREIRE. Remarks on symmetry analysis of Lane-Emden systems of dimensions one and two. TEMA (São Carlos), v. 14, n. 2, p. 245-254, 2013-10-11. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Similarity solutions for systems arising from an Aedes aegypti model. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 19, n. 4, p. 872-879, APR 2014. (11/19089-6, 11/20072-0)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 14, n. 3, p. 8-pg., 2013-06-01. (11/20072-0, 11/19089-6)

FREIRE, IGOR LEITE; SANTOS SAMPAIO, JULIO CESAR. On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 19, n. 2, p. 11-pg., 2014-02-01. (11/23538-0, 11/19089-6)

SANTOS SAMPAIO, JULIO CESAR; FREIRE, IGOR LEITE. Nonlinear Self-Adjoint Classification of a Burgers-KdV Family of Equations. Abstract and Applied Analysis, v. N/A, p. 7-pg., 2014-01-01. (11/23538-0, 11/19089-6)

FREIRE, IGOR LEITE. New conservation laws for inviscid Burgers equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 31, n. 3, p. 9-pg., 2012-01-01. (11/19089-6)

NAZ, REHANA; FREIRE, IGOR LEITE; NAEEM, IMRAN. Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations. Abstract and Applied Analysis, 2014. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Weak Equivalence Transformations for a Class of Models in Biomathematics. Abstract and Applied Analysis, 2014. (11/19089-6, 11/20072-0)

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)

FREIRE, IGOR LEITE. New classes of nonlinearly self-adjoint evolution equations of third- and fifth-order. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 18, n. 3, p. 493-499, MAR 2013. (11/19089-6)

BOZHKOV, YURI; FREIRE, IGOR LEITE. On the Lane-Emden system in dimension one. Applied Mathematics and Computation, v. 218, n. 21, p. 10762-10766, JUL 1 2012. (11/19089-6)

FREIRE, IGOR LEITE; TORRISI, MARIANO. Weak Equivalence Transformations for a Class of Models in Biomathematics. Abstract and Applied Analysis, v. N/A, p. 9-pg., 2014-01-01. (11/20072-0, 11/19089-6)

NAZ, REHANA; FREIRE, IGOR LEITE; NAEEM, IMRAN. Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations. Abstract and Applied Analysis, v. N/A, p. 15-pg., 2014-01-01. (11/19089-6)

BOZHKOV, YURI; FREIRE, IGOR LEITE; IBRAGIMOV, NAIL H.. Group analysis of the Novikov equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 33, n. 1, p. 10-pg., 2014-04-01. (11/19089-6)