Abstract
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.
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