Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation

Author:

Loaiza Ossa Gabriel Ignacio1ORCID,Acevedo-Agudelo Yeisson1ORCID,Londoño-Duque Oscar1ORCID,García Hernández Danilo A.2ORCID

Affiliation:

1. Universidad EAFIT

2. UNICAMP

Abstract

All generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by groups of matrices.

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Universidad EAFIT

Subject

Immunology and Allergy

Reference17 articles.

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3. [3] B. Mehta and R. Aris, “A note on a form of the emden-fowler equation,” Journal of Mathematical Analysis and Applications, vol. 36, no. 3, pp. 611–621, 1971.

4. [4] A. V. Rosa, “Modelagem matemática e simulacao do núcleo morto en catali-sadores porosos para reacoes de ordens fracionárias,” Master’s thesis, Faculdade de engenharia química de Lorena, 2005. https://sistemas.eel.usp.br/bibliotecas/antigas/2005/EQD05002.pdf

5. [5] A. Polyanin and V. Zaitsev, Exact solutions for ordinary differential equations. Chapman and Hall/CRC, 2002.

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