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

Gabriel Ignacio Loaiza Ossa, Y. Acevedo-Agudelo, O. Londoño-Duque, Danilo A. García Hernández
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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.
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一类广义Emden-Fowler方程的Lie代数表示、守恒律和一些不变解
给出了与Endem-Fowler方程推广相关的最优代数的所有生成;其中一些允许给出不变解。并给出了变分对称性和相应的守恒律。最后,给出了李对称代数的矩阵群表示。
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