Quasi-Lie schemes and Emden--Fowler equations

Abstract

The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisations is given. As a first result we obtain t-dependent constants of the motion for particular instances of Emden equations by means of some of their particular solutions. Previously known results are recovered from this new perspective. Finally some t-dependent constants of the motion for equations of Emden type satisfying certain conditions are recovered.

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Cited by in corpus (8)

• Lie--Hamilton systems: theory and applications
• k-symplectic Lie systems: theory and applications
• Lie families: theory and applications
• A Quasi-Lie Schemes Approach to Second-Order Gambier Equations
• Quasi-Lie schemes for PDEs
• Quasi-Lie families, schemes, invariants and their applications to Abel equations
• Two integrable classes of Emden-Fowler equations with applications in astrophysics and cosmology
• Stratified Lie systems: Theory and applications