151 citations · 435 across the 31 of their papers we have counts for
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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…
Dynamics of multidimensional fundamental and vortex solitons in random media
Volodymyr M. Lashkin
We study the dynamics of fundamental and vortex solitons in the framework of the nonlinear Schrödinger equation with the spatial dimension with a multiplicative rand…
Nonlinear theory of the modulational instability at the ion-ion hybrid frequency and collapse of ion-ion hybrid waves in two-ion plasmas
Volodymyr M. Lashkin
We study the dynamics of two-dimensional nonlinear ion-ion hybrid waves propagating perpendicular to an external magnetic field in plasmas with two ion species. We derive nonlinear…
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…