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By using the reductive perturbation theory, the Kadomstev-Petviashvili (KP) equation in unmagnetized dusty plasmas with variable dust charge, electrons with Boltzmann distribution and nonthermal ions, is derived and the propagation of nonlinear waves is analyzed. It is found that compressive and rarefactive solitons can be appeared. Amplitude of solitonic solutions of KPequation becomes diverges at the critical densities.

journal of physics. conference series

Solitons of the Kadomstev-Petviashvili (KP) and the modified KP (mKP) equations for dust acoustic solitary waves in dusty plasmas with variable dust charge and nonthermal ions