21 citations · 39 across the 3 of their papers we have counts for
3 papers
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…
Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates
V. A. Dorodnitsyn, E. I. Kaptsov, S. V. Meleshko
The one-dimensional modified shallow water equations in Lagrangian coordinates are considered. It is shown the relationship between symmetries and conservation laws in Lagrangian c…
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…