Dynamic features of dust acoustic waves in a four component dusty plasma with non-thermal ions

Publication Issue: 
Volume 37, Issue 1, 2016
Page No: 
Date Received: 
Sunday, May 15, 2016
Authors' Name: 
Asit Saha
Kaushik Roy
Nikhil Pal
Prasanta Chatterjee
Chiow San Wong
Authors' Affiliation and Address: 
Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim 737136, India
Beluti M.K.M. High School, P.O.-Beluti, Dist.-Birbhum, W.B.-731301, India
Department of Mathematics, Siksha Bhavana, Visva Bharati, Santiniketan-731235, India
Plasma Technology Research Centre, Department of Physics, University of Malaya, 50603, Kuala Lumpur, Malaysia
The dynamic features of dust acoustic waves in a four-component dusty plasma with non-thermal ions are investigated applying the bifurcation theory of planar dynamical systems. Employing the Galilean transformation, basic equations are reduced to a planar dynamical system. Existence of solitary and periodic waves is presented for the dynamical system through phase portrait analysis. Analytical forms of these waves are derived depending on physical parameters α, ß, ß1, µi, µe, σ and v. Considering an external periodic perturbation, the quasiperiodic motion of the perturbed dynamical system for dust acoustic waves is shown. It is observed that the unperturbed dynamical system has the solitary and periodic wave solutions whereas the dynamical system with external periodic perturbation has quasiperiodic behavior with same values of parameters α, ß, ß1, µi, µe, σ and v.