Abstract
Characteristics of small amplitude dust ion acoustic (DIA) solitons under transverse perturbations in a multispecies plasma with dust impurity and Vasyliunas–Cairns distributed two temperature electrons are presented. Using a reductive perturbation technique, the Kadomtsev–Petviashivili (KP), modified KP, and coupled KP equations are derived. Furthermore, considering single variable transformation, solutions of different equations are derived to investigate the influence of various plasma parameters and higher order effects on the characteristics of DIA solitons. From the nonlinear coefficient of the KP equation, the parametric range for the existence of positive and negative potential solitons is also determined. Furthermore, the stability analysis of the soliton solution of the KP equation is discussed. It is remarked that all different physical parameters have much influence on the characteristics of different types of small amplitude DIA solitons.
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