We present a recently developed Maple-based “GeM” software package for automated
symmetry and conservation law analysis of systems of partial and ordinary differential …

In the present paper, we derive exact solutions for the helically invariant Navier–Stokes
equations. The approach is based on an invariant solution ansatz emerging from the …

Helically invariant reductions due to a reduced set of independent variables emerging from
a cylindrical coordinate system of viscous and inviscid time-dependent fluid flow equations …

Action principles and conservation laws for Chew–Goldberger–Low anisotropic plasmas
Page 1 J. Plasma Phys. (2022), vol. 88, 835880402 © The Author(s), 2022. Published by …

The equilibrium and stability properties of ideal magnetohydrodynamics (MHD) of
compressible flow in a gravitational field with a translational symmetry are investigated …

R 3 depending on t, x, y, z appear in different physical contexts, including the vorticity
formulation of fluid dynamics, magnetohydrodynamics (MHD) equations, and Maxwell's …

The equilibrium properties of three-dimensional ideal magnetohydrodynamics (MHD) are
investigated. Incompressible and compressible flows are considered. The governing …

In this paper, we present a solution method for constructing exact analytic solutions to
magnetohydrodynamics (MHD) equations. The method is constructed via all the …

For static reductions of isotropic and anisotropic magnetohydrodynamics plasma equilibrium
models, a complete classification of admitted point symmetries and conservation laws up to …

Infinite families of exact isotropic and anisotropic plasma equilibria with and without
dynamics can be constructed in different geometries, using the representation of the static …