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Cylindrical Zakharov–Kuznestov equation for ion-acoustic waves with electrons featuring non-extensive distribution
Authors:Uday Narayan Ghosh  Pankaj Kumar Mandal  Prasanta Chatterjee
Institution:1. Department of Mathematics, Siksha Bhavana, Visva Bharati, Santiniketan, 731235, India
2. Kandara J. M. High School, Kandara, Burdwan, West Bengal, 713129, India
Abstract:Cylindrical Zakharov–Kuznestov equation for ion-acoustic waves comprising of ions and electrons featuring non-extensive distribution are derived from the fluid equations through reductive perturbation technique. System of first order ordinary differential equations is obtained from Zakharov–Kuznestov equation through dynamical system approach and ultimately it is solved using numerical method. It is found that the electron to positron ratio parameter and the non-extensive distributed parameter due to electron play crucial role on the solution.
Keywords:
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