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The (G′/G, 1/G) – expansion method is one of the most direct and effective method for obtaining abundant new traveling wave solutions of nonlinear partial differential equations. In this article, we construct exact soliton solutions of nonlinear evolution equation via positive Gardner-KP equation by using (G′/G, 1/G) – expansion method, where G(ξ) satisfies the auxiliary ordinary differential equation (ODE) G″(ξ)+λG(ξ)=μ; λ and μ are arbitrary constants. The three type of the solutions are found as, hyperbolic, trigonometric and rational function form involving more parameters and some of our constructed solutions are identical with results obtained by other authors if certain parameters take special values.