Eur. Phys. J. Plus (2015) 130: 222
https://doi.org/10.1140/epjp/i2015-15222-2

Regular Article

Qualitative structures of electron-acoustic waves in an unmagnetized plasma with q-nonextensive hot electrons

¹ Department of Mathematics, Sikkim Manipal Institute of Technology, 737136, Majitar, Rangpo, East-Sikkim, India
² Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, India

^* e-mail: asit_saha123@rediffmail.com

Received: 22 June 2015
Revised: 3 September 2015
Accepted: 17 September 2015
Published online: 2 November 2015

Abstract

The qualitative structures of electron-acoustic waves are investigated in an unmagnetized plasma containing cold electron fluid, q-nonextensive hot electrons and stationary ions. Applying the phase plane analysis, we present all phase portraits of the dynamical system and corresponding solitary- and periodic-wave solutions. Considering an external periodic perturbation, we study the chaotic structure of the perturbed dynamical system. The non-extensive parameter (q), the ratio between hot electron and cold electron number density at equilibrium (α) and speed of the traveling wave (v) play crucial roles for electron-acoustic solitary, periodic and chaotic structures. The results may have relevance in laboratory plasmas as well as space plasma environments.