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