Soliton solutions for the positive Gardner-KP equation by (G /G, 1/G) – Expansion method

The (G /G, 1/G) – expansion method is one of the most direct and effective method forobtaining abundant new traveling wave solutions of nonlinear partial differential equations. Inthis article, we construct exact soliton solutions of nonlinear evolution equation via positiveGardner-KP equation by using (G /G, 1/G) – expansion method, where G(ξ) satisfies the auxiliaryordinary differential equation (ODE) G″(ξ)+λG(ξ)= μ; λ and μ are arbitrary constants. The threetype of the solutions are found as, hyperbolic, trigonometric and rational function form involvingmore parameters and some of our constructed solutions are identical with results obtained by otherauthors if certain parameters take special values.