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In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained. The parameter regimes, for the existence of solitary waves, are identified during the derivation of the solution.doi:10.15388/na.17.1.14078 fatcat:2wdkoev4u5a55m5tlreeovl4dm