Reduction of systems of first-order differential equations via Lambda-symmetries
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
The notion of lambda-symmetries, originally introduced by C. Muriel and J.L. Romero, is extended to the case of systems of first-order ODE's (and of dynamical systems in particular). It is shown that the existence of a symmetry of this type produces a reduction of the differential equations, restricting the presence of the variables involved in the problem. The results are compared with the case of standard (i.e. exact) Lie-point symmetries and are also illustrated by some examples.
Cite
@article{arxiv.0802.3581,
title = {Reduction of systems of first-order differential equations via Lambda-symmetries},
author = {G. Cicogna},
journal= {arXiv preprint arXiv:0802.3581},
year = {2009}
}
Comments
12 pages