Preprint

·2021 OPEN ACCESS

New Exact Travelling Wave Solutions for Fractional Differential Equations in a Shallow Water Waves

Adem C. Çevikel YTU , Esin Aksoy YTU

Abstract

In this article, the modified simple equation method is proposed to solve nonlinear space-time fractional differential equations. This method is applied to solve space-time fractional modified Benjamin-Bona-Mahony (mBBM) equation, the space-time fractional generalized reaction duffing model and the space-time fractional potential Kadomtsev-Petviashvili (pKP) equation. The solutions found are hyperbolic and trigonometric function solutions. Some of these solutions are new solutions that are not available in the literature.

Keywords

Mathematics Mathematical analysis Fractional calculus Trigonometric functions Space (punctuation) Traveling wave Hyperbolic function Nonlinear system Trigonometry Simple (philosophy) Differential equation Function (biology) Duffing equation Applied mathematics Physics Geometry Computer science

Subject Areas

Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences
Nonlinear Waves and Solitons ·Statistical and Nonlinear Physics ·Physical Sciences
Mathematical functions and polynomials ·Applied Mathematics ·Physical Sciences

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