21 citations · 38 across the 5 of their papers we have counts for
3 papers · 1 filter
Symmetries and first integrals for variational ODEs with delay
V. A. Dorodnitsyn, R. V. Kozlov, S. V. Meleshko
A Lagrangian formalism for variational second-order delay ordinary differential equations (DODEs) is developed. The Noether operator identity for a DODE is established, which relat…
One-dimensional MHD flows with cylindrical symmetry: Lie symmetries and conservation laws
Vladimir A. Dorodnitsyn, Evgeniy I. Kaptsov, Roman V. Kozlov +1
A recent paper considered symmetries and conservation laws of the plane one-dimensional flows for magnetohydrodynamics in the mass Lagrangian coordinates. This paper analyses the o…
First integrals of ordinary difference equations which do not possess a variational formulation
P. Winternitz, V. Dorodnitsyn, E. Kaptsov +1
The paper presents a new method for finding first integrals of ordinary difference equations which do not possess Lagrangians, nor Hamiltonians. As an example we solve a third orde…