Characteristic behaviour of Kadomtsev-Petviashvili solitary waves and their stability in plasmas

By employing the reductive perturbation technique, Kadomtsev- Petviashvili (K-P) equation has been derived with a view to know the salient features ol -soliton propagation in multi-component plasma. A proposed method called as tanh-method has been employed to find the soliton solution of the non-line ar K-P wave equation and has shown successfully the existence of various so liton propagation in plasma. The main aim of using the formalism of tanh-me thod has been given to modify the non-linear wave equation into an ordinary differential equation which has been solved ultimately by Frobenius method . In contrast to the earlier predictions. ii has been shown that the multi- component plasma might not always sustain the compressive or rarefactive so litons even though the plasma consists of multi-temperature electrons. The existence depends on the control of, plasma configuration which might be th e advanced knowledge to observe the soliton formation in laboratory and spa ce plasmas. Moreover, because ol the higher order non-linearity, the observ ations sieved various plasma acoustic modes which could be of interest to r elate in space plasmas. Finally, it has been shown that the solitary wave p ropagation though suffers from the bifurcation due to the singularity in th e propagation, despite all, the study, based on the perturbation procedure, confirmed the stability of the soliton propagation irrespective of their d ifferent natures.