Nonplanar Solitary Waves and Shock Waves in a Nonextensive Plasma

S. Ashraf *

Department of Electronics and Communications Engineering, East West University, Dhaka-1212, Bangladesh

G. Mandal

Department of Electronics and Communications Engineering, East West University, Dhaka-1212, Bangladesh

A. A. Mamun

Department of Physics, Jahangirnagar University, Dhaka-1342, Bangladesh

*Author to whom correspondence should be addressed.


Abstract

Aims/ Objectives: We have studied the nonlinear wave propagation in an unmagnetized plasma system containing initialy cold viscous ion fluids and nonextensive electron fluids with nonplanar geometry.
Place and Duration of Study: Department of Electronics and Communications Engineering, East West University and Department of Physics, Jahangirnagar University.
Methodology: We have used reductive perturbation method to derive K-dV and Burgers’ equations and numerically obtained their solutions to study the basic characteristics of ion-acoustic (IA) solitary waves (SWs) and shock waves (ShWs) in nonplanar geometry.
Results: It has been shown that the combined effects of nonextensive electron distribution and coefficient of ion viscosity significantly modify the behavior of Sws and ShWs. It has been also found to exist for positive and negative potential with cylindrical and spherical geometry in our this assumed plasma model.
Conclusion: The present analysis may be useful to understand and demonstrate the dynamical properties of nonlinear waves in different astrophysical and cosmological objects.

Keywords: IA waves, Initially cold viscous ion fluids, Nonextensive electron fluid, Reductive perturbation method, K-dV and Burgers’ equations with solutions for solitary and shock waves, Nonplanar (Cylindrical and Shperical) geometry


How to Cite

Ashraf, S., G. Mandal, and A. A. Mamun. 2015. “Nonplanar Solitary Waves and Shock Waves in a Nonextensive Plasma”. Physical Science International Journal 6 (4):236-44. https://doi.org/10.9734/PSIJ/2015/13086.

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