Abstract
The Vakhnenko–Parkes (VP) equation with power law nonlinearity is analyzed for Painleve test and for Lie symmetries. The Painleve analysis of Vakhnenko–Parkes equation with power law nonlinearity is performed by the Kruskal approach to check the Painleve property. The Lie group formalism is also applied to derive symmetries of this equation, the ordinary differential equations deduced are further studied, and some exact solutions are obtained.
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