3 papers
nlin.PS2025
Resonant Interactions of Poincare Waves in the Shallow Water Approximation
D. A. Klimachkov, A. S. Petrosyan
The paper develops a weakly nonlinear theory of Poincare waves. The nondegeneracy of the Poincare wave dispersion law leads to the presence of resonant interactions in perturbation…
physics.plasm-ph2019
Nonlinear theory of magnetohydrodynamic flows of stratified rotating plasma in two-layer shallow water approximation. Rossby waves and their three-wave interactions
Maria Fedotova, Dmitry Klimachkov, Arakel Petrosyan
This article deals with rotating magnetohydrodynamic flows of a thin stratified layer of astrophysical plasma in a gravitational field with a free-surface in a vertical external ma…
astro-ph.SR2015
Parametric Instabilities in Shallow Water Magnetohydrodynamics Of Astrophysical Plasma in External Magnetic Field
Dmitry Klimachkov, Arakel Petrosyan
This letter discusses rotating magnetohydrodynamics (MHD) of a thin layer of astrophysical plasma. To describe a thin plasma layer with a free surface in a vertical external magnet…