Variable-coefficient KP equation and solitonic solution for two-temperature ions in dusty plasma

In this Letter, the cylindrical KP equation, which is a variable-coefficient equation, is obtained by using the reductive perturbation method for unmagnified, collisionless and two-temperature ions in dusty plasma. With the help of generalized projected Riccati equation expansion method, the cylindrical KP equation is solved and many solitonic solutions are obtained. Some important parameters for the existence of the compressive and rarefactive solitons are discussed and the effects caused by transverse perturbations are also discussed.