Solitary Wave Solution of Higher Order Kadomstev-Petviashvili Equation for Complex Plasma

The nonlinear wave phenomenon leading to the formation of coherent structures through solitary waves are studied in Kadomstev-Petviashvili (K-P) equation and modified K-P equations with the help of reductive perturbation technique. The K-P equation for complex plasma consisting of non-isothermal electrons and Maxwellian ions in cold dust with the effect of negative (positive) dust charge fluctuation is derived. Similarly different type mK-P equations for complex plasma consisting of trapped electrons and Maxwellian ions in cold dust with the effect of negative (positive) dust charge fluctuation are also derived by same reductive perturbation technique. The analytical solution of K-P equation and other higher order nonlinear wave equation such as mK-P equation are derived by well known tanh-method and dust acoustic solitary waves and shock waves propagation for different situation are reported, which could be relevant in case of different space and astrophysical plasmas including Saturn's F-ring and also in laboratory observation for both positive and negative dust charge fluctuation.