On the new type of solutions to Benney-Luke equation
Hamı Gündoğdu, Ömer Faruk Gözükızıl
Abstract
In this study, the Benney-Luke equation is considered. In order to derive new type of solutions, the sn-ns method is applied to this equation. Then, we introduce trigonometric and elliptic functions solutions in addition to the hyperbolic ones which are gained by tanh-coth. Three types of solutions are derived at the same time with the help of this method. Therefore, it can be said that this method is convenient to obtain more solutions to many kinds of nonlinear partial differential equations.
Topics & Concepts
TrigonometryHyperbolic functionHyperbolic partial differential equationType (biology)Trigonometric functionsMathematicsPartial differential equationElliptic partial differential equationNonlinear systemFirst-order partial differential equationApplied mathematicsDifferential equationOrder (exchange)Mathematical analysisPhysicsGeometryEconomicsBiologyFinanceEcologyQuantum mechanicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems