Study of dust kinetic Alfvén cnoidal waves in nonextensive plasmas

Alfvén waves are the electromagnetic waves. The restoring force in kinetic Alfvén waves is provided by magnetic tension and inertia is provided by ion mass. Dust is an ubiquitous component in astrophysical and space environments such as planetary rings, cometary tails, interstellar clouds, and earth's mesosphere and ionosphere. The presence of charged dust particles generates new types of eigen modes such as dust acoustic (DA), dust ion-acoustic (DIA), and dust lattice (DL) modes . In the presence of an external magnetic field, dust grains can respond to the perturbations on long time and space scales, and this response to perturbations can generate the dust kinetic Alfvén waves via polarization drifts of dust fluid. The present work focuses on the study of dust kinetic Alfvén cnoidal waves (DKACWs), which has their major applications in transporting and dissipating energy in various space and astrophysical plasma environments. A theoretical investigation is carried out to study dust kinetic Alfvén cnoidal waves containing two temperature superthermal electrons in nonextensive plasma. The nonlinear Korteweg-de Vries (KdV) equation is derived by using the reductive perturbation (RPT) technique. Further, the solution of KdV equation is numerically analyzed to study cnoidal waves. The variation of different plasma parameters has been analyzed on the characteristics of DKACWs. The findings of this research work may have important applications in Saturn's magnetosphere where two temperature superthermal electrons are present. (author)