Display Abstract
Title On the structure of the solution set to Killing-type equations and LRL conservation
Name Gaetano Zampieri
Country Italy
Email gaetano.zampieri@univr.it
Co-Author(s) Gianluca Gorni
Submit Time 2014-02-28 12:48:03
Session
Special Session 69: Lie Symmetries, Conservation laws and other approaches in solving nonlinear differential equations
Contents
Infinitesimal gauge-invariance of the action functional in Lagrangian ODEs is equivalent to Killing-type equations, which are related to first integrals through Noether theorem. We discuss the structure of the solution set of two interpretations of Killing-type equations. In particular, we give an explicit solution formula for the ``on-flow'' interpretation. By means of these results, we study LRL (Laplace-Runge-Lenz) vector conservation for the Kepler problem, showing new solutions, in particular without gauge terms.
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