Asit Saha - Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo,East Sikkim ۷۳۷۱۳۶, India
Nikhil Pal - Department of Mathematics, Siksha-Bhavana, Visva-Bharati University, Santiniketan ۷۳۱۲۳۵, India
Tapash Saha - Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo,East Sikkim ۷۳۷۱۳۶, India
M.K Ghorui - Department of Mathematics, B.B. College, Ushagram, Asansol ۷۱۳۳۰۳, India

Bifurcations and chaotic behaviors of dustacoustic traveling waves in magnetoplasmas with nonthermalions featuring Cairns–Tsallis distribution isinvestigated on the framework of the further modifiedKadomtsev–Petviashili (FMKP) equation. The FMKPequation is derived employing the reductive perturbationtechnique (RPT). Bifurcations of dust acoustic travelingwaves of the FMKP equation is presented. Using thebifurcation theory of planar dynamical systems, two newanalytical traveling wave solutions for solitary and periodicwaves are derived depending on the parameters α, α(1), q, land U. Considering an external periodic perturbation, thechaotic behavior of dust acoustic traveling waves isinvestigated through quasiperiodic route to chaos. Theparameter q significantly affects the chaotic behavior of theperturbed FMKP equation.

Dusty plasma Traveling wave Chaotic behavior Quasiperiodic route to chaos