Dust-acoustic envelope solitons and rogue waves in an electron depleted plasma
Abstract
The nonlinear propagation of dust acoustic (DA) waves (DAWs) in an unmagnetized electron depleted dusty plasma (containing opposite polarity warm dust grains and non-extensive positive ions) has been theoretically investigated. The nonlinear Schrödinger equation (NLSE) is derived by employing the reductive perturbation method. It is observed that the dusty plasma system under consideration supports two branches of modes, namely, fast and slow DA modes, and that both of these two modes can be modulationally stable or unstable depending on the sign of ratio of the dispersive and nonlinear coefficients of the NLSE. The conditions for the formation of bright and dark envelope solitons as well as the first- and second-order rogue waves have been examined. The numerical analysis has shown that the basic features (viz., stability/instability, amplitude and width of the envelope solitons and rogue structures, etc.) of the DAWs associated with the fast and slow DA modes are significantly modified by dust masses, dust charges, non-extensivity of ions, and other various plasma parameters. The implications of the results to space plasma research (viz., magnetosphere of Jupiter, upper mesosphere, Saturn's F-ring, cometary tail, etc.) are briefly discussed.
- Publication:
-
Indian Journal of Physics
- Pub Date:
- December 2021
- DOI:
- 10.1007/s12648-020-01927-9
- arXiv:
- arXiv:2007.00892
- Bibcode:
- 2021InJPh..95.2837A
- Keywords:
-
- Dust-acoustic waves;
- Electron depleted plasma;
- NLSE;
- Modulational instability;
- Envelope solitons;
- Rogue waves;
- Physics - Plasma Physics
- E-Print:
- 6 pages, 8 figures