Speaker
Andrzej Woszczyna
(Politechnika Krakowska)
Description
Darboux transformations convert the cosmological perturbation equations to the form of the d'Alembert equation. Consequently, the Noether constants (the conserved hamiltonian for instance) can be easily found. The exact form of the Darboux transformation, however, is the subject of guess (Field Shepley 1968), what strongly limitates the effectivness of the method. In the present talk we introduce an algorithm for finding the conserved quantities for perturbations. We employ the Darboux algebraic method for dynamical systems with the polynomial right hand side. We use the computer algebra. A simple package for Wolfram Mathematica is written.
