MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Symmetries of the Hamilton–Jacobi equation

G. N. Yakovenko

Moscow Institute of Physics and Technology (State University), 9 Institutsky per., Dolgoprudny, 141700, Russia

Abstract: The notion of symmetry transformations of the Hamilton–Jacobi equation. For the group of symmetries is shown how to be associated with the Hamiltonian function coefficients of the infinitesimal operator of the group. The examples of calculation of the symmetries and examples calculations based on the full symmetry of the integrals.

Keywords: Hamilton–Jacobi equation, a symmetry transformation, continuation of point transformations on the derivatives, the complete integral.

UDC: 517.91.1

Received: 22.04.2012

DOI: 10.20537/2076-7633-2012-4-2-253-265