Zakharov-Kuznetsov equation for ion acoustic waves with superthermal electrons in cylindrical geometry
1 Department of Mathematics, West Bengal State University - Barasat, Kolkata-700126, India
2 Physics and Applied Mathematics Unit, Indian Statistical Institute - Kolkata-700108, India
Received: 14 June 2012
Accepted: 3 September 2012
The nonlinear wave structures of ion acoustic waves (IAWs) in a magnetized plasma with the combined effect of bounded cylindrical geometry and superthermal electrons and warm ions are studied. Using the standard reductive perturbation technique, the nonlinear cylindrical Zakharov-Kuznetsov (ZK) equation is derived for the propagation of ion acoustic solitary waves (IASWs). The influence of superthermal electrons and the effects caused by the cylindrical geometry on IAWs are investigated. It is shown that, in cylindrical geometry a new type of solitonlike structures appears as time goes by. It is also observed that a decrease in the superthermality of electrons (i.e., increasing κ) increases the amplitude of the solitary electrostatic potential structures. The numerical results are also presented to understand the formation of IASWs in relation with the plasma parameters in nonplanar geometry. The present investigation is of relevance in the study of propagation of IAWs in space and laboratory plasmas.
PACS: 52.35.Fp – Electrostatic waves and oscillations (e.g., ion-acoustic waves) / 52.35.Sb – Solitons; BGK modes / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)
© EPLA, 2012