Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method
Muammer Topsakal, Filiz Taşcan
Abstract
Abstract In this paper, the new exact solutions of nonlinear conformable fractional partial differential equations(CFPDEs) are achieved by using auxiliary equation method for the nonlinear space-time fractional Klein-Gordon equation and the (2+1)-dimensional time-fractional Zoomeron equation. The technique is easily applicable which can be applied successfully to get the solutions for different types of nonlinear CFPDEs. The conformable fractional derivative(CFD) definitions are used to cope with the fractional derivatives.
Topics & Concepts
Conformable matrixFractional calculusNonlinear systemPartial differential equationMathematicsMathematical analysisKlein–Gordon equationBurgers' equationFirst-order partial differential equationPhysicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems