Lie and Noether symmetries for a class of fourth-order Emden-Fowler equations

Author(s)

Freire, Igor Leite ^[1] ; da Silva, Priscila Leal ^[1] ; Torrisi, Mariano ^{[1, 2]}

Affiliation

^[1] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP - Brazil

^[2] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania - Italy

• Document type: Journal article
• Source: Journal of Physics A-Mathematical and Theoretical; v. 46, n. 24 JUN 21 2013.
• Web of Science Citations: 7

Abstract

A group classification of a fourth-order ordinary differential equation is carried out. The Noether symmetries are considered and some first integrals are established. Solutions for special Lane-Emden systems are also obtained from the invariant solutions of the investigated equation. (AU)

• FAPESP's process: 10/10259-3 - Transformation groups and differential equations
• Grantee: Priscila Leal da Silva
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• FAPESP's process: 11/19089-6 - Lie point symmetries and conservation laws for the Lane-Emden system
• Grantee: Igor Leite Freire
• Support Opportunities: Regular Research Grants
• FAPESP's process: 11/20072-0 - Group methods for reaction-diffusion systems and its applications to biomathematical models
• Grantee: Igor Leite Freire
• Support Opportunities: Research Grants - Visiting Researcher Grant - International