Uday Narayan Ghosh - Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan ۷۳۱۲۳۵, India
Asit Saha - Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan ۷۳۱۲۳۵, India- Department of Mathematics, Sikkim Manipal Institute ofTechnology, Majitar, Rangpo, East-Sikkim ۷۳۷۱۳۶, India
Nikhil Pal - Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan ۷۳۱۲۳۵, India
Prasnta Chatterijee - Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan ۷۳۱۲۳۵, India

The dynamic structures of ion acoustic wavesin an unmagnetized plasma with q-nonextensive electronsand positrons are investigated applying the bifurcationtheory of planar dynamical systems through directapproach. Model equations are transformed to a planardynamical system using a traveling wave transformation.Using the bifurcations of planar dynamical system, theexistence of solitary and periodic waves is shown. We haveobtained new analytical forms for solitary and periodicwaves depending on parameters p, q, and v. Consideringan external periodic perturbation, the chaotic behavior ofnonlinear ion acoustic waves is presented. Depending upondifferent regimes of the nonextensive parameter q, theeffect of q is shown on chaotic motions of ion acousticwaves with fixed values of other parameters p, and v. It isseen that the unperturbed system has the solitary andperiodic wave solutions, but the perturbed dynamical systemhas chaotic motions for same values of parametersp, q, and v.

Solitary wave Periodic wave Chaotic behavior Bifurcation theory