Author/Authors :
Saha, Asit Department of Mathematics - Sikkim Manipal Institute of Technology - Sikkim Manipal University - Majitar - Rangpo - East Sikkim 737136, India , Pal, Nikhil Department of Mathematics - Siksha-Bhavana - Visva-Bharati University - Santiniketan 731235, India , Saha, Tapash Department of Mathematics - Sikkim Manipal Institute of Technology - Sikkim Manipal University - Majitar - Rangpo - East Sikkim 737136, India , Ghorui, M. K. Department of Mathematics - B.B. College - Ushagram - Asansol 713303, India , Chatterjee, Prasanta Department of Mathematics - Siksha-Bhavana - Visva-Bharati University - Santiniketan 731235, India
Abstract :
Bifurcations and chaotic behaviors of dust acoustic traveling waves in magnetoplasmas with nonthermal ions featuring Cairns–Tsallis distribution is
investigated on the framework of the further modified
Kadomtsev–Petviashili (FMKP) equation. The FMKP
equation is derived employing the reductive perturbation
technique (RPT). Bifurcations of dust acoustic traveling
waves of the FMKP equation is presented. Using the
bifurcation theory of planar dynamical systems, two new
analytical traveling wave solutions for solitary and periodic
waves are derived depending on the parameters a; a1; q; l
and U. Considering an external periodic perturbation, the
chaotic behavior of dust acoustic traveling waves is
investigated through quasiperiodic route to chaos. The
parameter q significantly affects the chaotic behavior of the
perturbed FMKP equation.
Keywords :
Dusty plasma , Traveling wave , Chaotic behavior , Quasiperiodic route to chaos
