Painlevé analysis, Lie symmetries and invariant solutions of potential Kadomstev-Petviashvili equation with time dependent coefficients

摘要

In this paper, the Painlevé analysis of (2 + 1)-dimensional variable coefficients potential Kadomstev-Petviashvili (VCPKP) equation ~(σxt)+α(t)~(σxσxx)+β(t) ~(σxxxx)+δ(t)~(σyy)=0, has been performed to study the Painlevé properties. The VCPKP equation is also reduced to a (1 + 1)-dimensional partial differential equation via classical Lie group method and reduced equations are further studied to obtain certain general solutions.