4 papers
Interaction of upper hybrid waves with dust-ion-magnetoacoustic waves and stable two-dimensional solitons in dusty plasmas
Volodymyr M. Lashkin, Oleg K. Cheremnykh
We obtain a two-dimensional nonlinear system of equations for the electrostatic potential envelope and the low-frequency magnetic field perturbation to describe the interaction of…
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…