Volume 100, Number 5, December 2012
|Number of page(s)||6|
|Section||Physics of Gases, Plasmas and Electric Discharges|
|Published online||11 December 2012|
Rossby rogons in atmosphere and in the solar photosphere
1 Department of Mathematics, Visva-Bharati University - Santiniketan-731 235, West Bengal, India
2 International Centre for Advanced Studies in Physical Sciences and Institute for Theoretical Physics, Faculty of Physics and Astronomy, Ruhr University Bochum - D-447 80 Bochum, Germany, EU
3 Department of Mechanical and Aerospace Engineering and Center for Energy Research, University of California San Diego - La Jolla, CA 92093, USA
Received: 3 October 2012
Accepted: 15 November 2012
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 a 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 wavelength) perturbations, when the carrier Rossby wave number satisfies k2 < 1/2 or (k2 > 3 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.
PACS: 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.) / 92.10.hf – Planetary waves, Rossby waves / 94.20.wc – Plasma motion; plasma convection; particle acceleration
© EPLA, 2012
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