20-22 May 2015
Asia/Bangkok timezone
The Centennial Celebration of General Relativity Theory and 80 Years of Thai Physics Graduate

New solitonic, periodic and chaotic behaviors of ion acoustic waves in a nonextensive electron-positron-ion plasma

21 May 2015, 14:30
15m
Hemingways' Lounge ()

Hemingways' Lounge

Oral presentation Ion and Plasma Physics Ion and Plasma Physics

Speaker

Prof. Prasanta Chatterjee (Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan-731235, Birbhum, India)

Description

Solitonic, periodic and chaotic behaviors of ion acoustic waves in an unmagnetized plasma with q-nonextensive electrons and positrons are investigated applying the bifurcation theory of planar dynamical systems. Model equations are transformed to a planar dynamical system using a traveling wave transformation. Then by using the bifurcations of phase portraits of this planar dynamical system, we have established that our model has solitary wave solutions and periodic wave solutions. We have obtained new analytical solutions for solitary and periodic waves depending on the parameters. Considering an external periodic perturbation, chaotic behavior of ion acoustic waves has been presented. It is shown that the speed of the traveling wave (v) and other parameters play crucial roles in qualitative changes of the dynamical system and chaotic behavior of the system.

Primary author

Prof. Prasanta Chatterjee (Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan-731235, Birbhum, India)

Presentation Materials

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