Parametric analysis of dust ion acoustic waves in superthermal plasmas through non-autonomous KdV framework

Abstract

In the presence of superthermal plasma, propagation of non-linear dust ion acoustic waves has been studied in the framework of the Damped Forced Korteweg–de Vries (DFKdV) Equation. A feasible range is obtained for the existence of the solitary wave solutions in terms of the spectral index, and the unaffected dust-to-ion density ratio (denoted by κ and μ, respectively). It is observed that the transition of solitary wave structures from compressive to rarefactive can be completely determined by mainly these two parameters. The effects of all other parameters involved in the model, namely, the strength (f0) and frequency (ω) of the external periodic force, and damping coefficient (νid0) are studied using the bifurcation analysis; f0 and ω play a crucial role in the periodic and chaotic motions in the system. We also obtained certain critical values of the key parameters involved in the model for which the model exhibits periodic, quasi-periodic and chaotic behaviour.