Symbolic computation on the multi-soliton-like solutions of the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas

Considering the transverse perturbation and axially non-planar geometry, the cylindrical Kadomtsev–Petviashvili (KP) equation is investigated in this paper, which can describe the propagation of dust-acoustic waves in the dusty plasma with two-temperature ions. Through imposing the decomposition method, such a (2+1)-dimensional equation is decomposed into two variable-coefficient (1+1)-dimensional integrable equations of the same hierarchy. …