13 citations · 15 across the 12 of their papers we have counts for
6 papers · 1 filter
Modulational instability and collapse of internal gravity waves in the atmosphere
Volodymyr M. Lashkin, Oleg K. Cheremnykh
Nonlinear two-dimensional internal gravity waves (IGWs) in the atmospheres of the Earth and the Sun are studied. The resulting two-dimensional nonlinear equation has the form of a…
Self-consistent equilibrium of a force-free magnetic flux rope
O. K. Cheremnykh, V. M. Lashkin
We present an exact solution to the problem of a self-consistent equilibrium force-free magnetic flux rope. Unlike other approaches, we use magnetostatic equations and assume only…
Three-dimensional solitons in fractional nonlinear Schrödinger equation with exponential saturating nonlinearity
Volodymyr M. Lashkin, Oleg K. Cheremnykh
We study the fractional three-dimensional (3D) nonlinear Schrödinger equation with exponential saturating nonlinearity. In the case of the Lévy index , this equation can be…
Self-consistent equilibrium of a helical magnetic flux rope in a finite-pressure plasma
Oleg K. Cheremnykh, Viktor Fedun, Volodymyr M. Lashkin
We present an analytical model of the self-consistent equilibrium of a magnetic flux rope which is obtained in cylindrical geometry. The equilibrium azimuthal magnetic field and pl…
Fourth-order modon in a rotating self-gravitating fluid
Volodymyr M. Lashkin, Oleg K. Cheremnykh
We present a two-dimensional nonlinear equation to govern the dynamics of disturbances in a rotating self-gravitating fluid. The nonlinear term of the equation has the form of a Po…
Nonlinear internal gravity waves in the atmosphere: Rogue waves, breathers and dark solitons
Volodymyr M. Lashkin, Oleg K. Cheremnykh
We study nonlinear internal gravity waves (IGWs) in the atmosphere. The reductive perturbation method is used to derive a system of two-dimensional nonlinear equations for the enve…