Rossby rogons in atmosphere and in the solar photosphere

Abstract

The generation of Rossby rogue waves (Rossby rogons), as well as the excitation of bright and dark Rossby envelpe solitons are demonstrated on the basis of the modulational instability (MI) of a coherent Rossby wave packet. The evolution of an amplitude modulated Rossby wave packet is governed by one-dimensional (1D) nonlinear Schrödinger equation (NLSE). The latter is used to study the amplitude modulation of Rossby wave packets for fluids in Earth's atmosphere and in the solar photosphere. It is found that an ampitude modulated Rossby wave packet becomes stable (unstable) against quasi-stationary, long wavelength (in comparision with the Rossby wave length) perturbations, when the carrier Rossby wave number satisfies k 2 < 1/2 or. It is also shown that a Rossby rogon or a bright Rossby envelope soliton may be excited in the shallow water approximation for the Rossby waves in solar photosphere. However, the excitation of small or large scale perturbations may be possible for magnetized plasmas in the ionosphereic E−layer.

Breather and rogue wave solutions for a nonlinear Schrödinger-type system in plasmas

“…The nonlinear Schrödinger-type (NLS) equations can be used to describe the nonlinear waves in plasmas, nonlinear envelope pulses in fibers, pressure pulses in artery vessels, nonlinear Rossby waves in atmosphere, and matter waves in dilute-gas Bose-Einstein condensates [1][2][3][4][5][6][7][8][9]. For instance, the derivative NLS equation is derived as a model governing the dynamical behavior of weakly nonlinear and weakly dispersive Alfvén waves in the magnetized plasmas [4,5].…”