21 citations · 38 across the 5 of their papers we have counts for
5 papers
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…
Symmetries, conservation laws and difference schemes of the (1+2)-dimensional shallow water equations in Lagrangian coordinates
V. A. Dorodnitsyn, E. I. Kaptsov, S. V. Meleshko
The two-dimensional shallow water equations in Eulerian and Lagrangain coordinates are considered. Lagrangian and Hamiltonian formalism of the equations is given. The transformatio…
First integrals of ordinary difference equations beyond Lagrangian methods
V. Dorodnitsyn, E. Kaptsov, R. Kozlov +1
A new method for finding first integrals of discrete equations is presented. It can be used for discrete equations which do not possess a variational (Lagrangian or Hamiltonian) fo…
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…