HigherOrder Contributions to DustAcoustic Waves in a Magnetized Dusty Plasmas
Abstract
Propagation of linear and nonlinear dustacoustic waves (DAWs) in a magnetized three component dusty plasma consisting of negatively charged dustparticles, isothermal ions and electrons are investigated. The standard normalmode analysis is used to study the stability condition of linear dustacoustic waves. However, for nonlinear waves, a reductive perturbation theory is applied to obtain the ZakharovKuznetsov (ZK) equation for the firstorder perturbed potential and a linear inhomogeneous Zakharov Kuznetsovtype (LIZKT) equation for the secondorder perturbed potential. At the critical phase velocity, the coefficient of the nonlinear terms of the ZK and LIZKT equations vanishes. A new set of expansion physical parameters and stretched coordinates are then used to derive a modified Zakharov Kuznetsov (MZK) equation for the first order perturbed potential and a linear inhomogeneous modified ZakharovKuznetsovtype (LIMZKT) equation for the secondorder perturbed potential. Stationary solutions of the coupled equations, for both cases, are obtained using a renormalization method. The effects of the higherorder contributions, the external magnetic field, the phase velocity, and the directional cosine of the wave vector k along the xaxis on the nature of the solitary waves are also discussed.
 Publication:

Physica Scripta
 Pub Date:
 2002
 DOI:
 10.1238/Physica.Regular.065a00416
 Bibcode:
 2002PhyS...65..416E
 Keywords:

 52.20.j