Zakharov–Kuznetsov–Burgers equation for dust ion acoustic waves

摘要: Abstract The nonlinear wave structures of small, but finite amplitude dust ion acoustic waves in a magnetized dusty plasma consisting cold positive ions, isothermal electrons and variable charged stationary particles are investigated using reductive perturbation theory. basic set fluid equations is reduced to Zakharov–Kuznetsov–Burgers (ZKB) equation. presence charging process give rise three cases. first case arises when the lead originate anomalous dissipation, which makes possible existence new kind shocks related this dissipation. Case two, absence dissipation (or if weak) balance then between dispersion effects, can result formation symmetrical solitary waves. considers at same footing, i.e. we cannot neglect either or dispersion. Exact solution ZKB equation obtained, for time, improved modified extended tanh-function method. Then, all cases covered.