https://doi.org/10.1140/epjp/i2019-12881-9
Regular Article
Multidimensional freak waves in electron depleted dusty magnetoplasmas having superthermal ion with two temperatures
1
Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia
2
Department of Physics, Faculty of Science, Port Said University, 42521, Port Said, Egypt
3
Research Center for Physics (RCP), Department of Physics, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University, Al-Baha, Saudi Arabia
4
Theoretical Plasma Physics Division, PINSTECH, Nilore, 44000, Islamabad, Pakistan
5
Department of Physics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, 11942, Al-Kharj, Saudi Arabia
6
Department of Physics, Faculty of Science, Ain Shams University, Cairo, Egypt
* e-mail: samireltantawy@yahoo.com
Received:
4
March
2019
Accepted:
11
July
2019
Published online:
17
October
2019
The three-dimensional modulational instability (MI) and the associated electrostatic freak waves in electron depleted dusty magnetoplasmas having two temperature ions obeying Kappa distribution with transverse plane perturbations are investigated. For this purpose, the three-dimensional (3D) nonlinear Schrödinger equation (NLSE) is derived using the multi-scale perturbation technique. The regions of stable and unstable structures are determined precisely depending on a new criterium different from that of the one-dimensional (1D) NLSE. In the unstable regions the first- and second-order rogue waves are examined. The dependence of MI and freak waves on the relevant plasma parameters, namely, modulational obliqueness, cold ion concentration, cold-to-hot ion temperature ratio, dust gyrofrequency, and the spectral indices of the cold and hot ions are investigated. The present investigation is useful in space and laboratory magnetoplasmas, for instance, Geotail spacecraft observations seen in Earth’s magnetotail, solar wind, interstellar medium, and in the magnetosphere of Jupiter.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
