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Optical layouts of the WSO-UV spectrographs
Authors:Vladimir Panchuk  Maxim Yushkin  Timur Fatkhullin  Mikhail Sachkov
Affiliation:1. Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, Rangpo, East-Sikkim, 737136, India
2. Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, 731235, India
Abstract:Electron acoustic blow up solitary waves and periodic waves are studied in a classical unmagnetized plasma containing cold electron fluid, kappa distributed hot electrons and stationary ions. We obtain Korteweg-de Vries (KdV) equation for electron acoustic waves (EAWs) using the reductive perturbation technique (RPT). Applying bifurcation theory of planar dynamical systems to the obtained KdV equation, we prove the existence of electron acoustic blowup solitary and periodic wave solutions. Depending on different physical parameters, two types of exact explicit solutions of the mentioned waves are derived. Our model may be applied to explain blow up solitary and periodic wave features that may occur in the planetary magnetosphere and the plasma sheet boundary layer.
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