Analytical solutions of Kolmogorov–Petrovskii–Piskunov equation
Hülya Durur, Asıf Yokuş
Abstract
In the current study, analytical solutions are constructed by applying (1/G') -expansion method to the Kolmogorov–Petrovskii–Piskunov (KPP) equation. Hyperbolic type exact solutions of the KPP equation are presented with the successfully applied method. 3D, 2D and contour graphics are presented by giving special values to the parameters in the solutions obtained. This article explores the applicability and effectiveness of this method on nonlinear evolution equations (NLEEs).
Topics & Concepts
Nonlinear systemHyperbolic functionMathematicsApplied mathematicsGraphicsCurrent (fluid)Computer scienceMathematical analysisEngineeringPhysicsComputer graphics (images)Electrical engineeringQuantum mechanicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems