Abstract
In this research, we consider an unmagnetized dusty plasma containing electrons, dust particle and lower (higher) temperature ions. The bifurcation analysis for Kadomtsev-Petviashvili (KP) and modified KP equations are discussed. The solitary and periodic wave solutions including several parameters of ions are investigated. Our novel results show that nonthermal parameter is directly proportional to the width of periodic wave. The width of periodic wave causes the change behavior of wave from compressive periodic to rarefactive. The obtained results have numerous applications in plasma physics.