Astrophysics and Space Science

, Volume 355, Issue 1, pp 33–41 | Cite as

Freak waves in Saturn’s magnetosphere

Original Article

Abstract

Properties of planar as well as nonplanar ion acoustic freak waves that propagate in a plasma composed of warm ions and two-temperature electron plasma having kappa-distribution are reported. The dynamics of the nonlinear freak waves is governed by a modified nonlinear Schrödinger equation. The possible region for the freak waves to exist is defined precisely for typical parameters of Saturn’s magnetosphere. For planar case, stability/instability analyses reveals that there is a critical value (f cr ) of f (i.e., the equilibrium density ratio of the hot-to-cold electron species) exists for low wave number k. For large wave number k, the stability domain is always a decreasing function in f. Low κ values, which indicate that an excess of suprathermal particles in the tail of the distribution, shifts f cr to higher values. Also, there exists a modulation instability period for the cylindrical and spherical envelope excitations, which does not exist in the one-dimensional case. Furthermore, cylindrical and spherical freak waves are investigated numerically. Spherical ion-acoustic freak waves are found to grow faster than the cylindrical waves.

Keywords

Nonlinear wave modulation Cylindrical and spherical rogue waves Ion-acoustic wavepackets Saturn’s magnetosphere Super-thermal electron distribution 

Notes

Acknowledgement

The author dedicate this work to the memory of Prof. Padma Kant Shukla.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Theoretical Physics Group, Department of Physics, Faculty of ScienceDamietta UniversityNew DamiettaEgypt
  2. 2.Department of Physics, College of Science and Humanitarian StudiesSalman bin Abdulaziz UniversityAlkharjKingdom of Saudi Arabia

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