The Analytical Fractional Solutions for Coupled Fokas System in Fiber Optics Using Different Methods
Wael W. Mohammed, Clemente Cesarano, E. M. Elsayed, Farah M. Al‐Askar
Abstract
The Fokas system with M-truncated derivative (FS-MTD) was considered in this study. To get analytical solutions of FS-MTD in the forms of elliptic, rational, hyperbolic, and trigonometric functions, we employed the extend F-expansion approach and the Jacobi elliptic function method. Since nonlinear pulse transmission in monomode optical fibers is explained by the Fokas system, the derived solutions may be utilized to analyze a broad range of important physical processes. In order to comprehend the impacts of MTD on the solutions, the dynamic behavior of the various generated solutions are shown using 2D and 3D figures.
Topics & Concepts
Trigonometric functionsTrigonometryNonlinear systemHyperbolic functionElliptic functionApplied mathematicsRange (aeronautics)Transmission systemMathematical analysisOptical fiberRational functionTransmission (telecommunications)MathematicsComputer scienceOpticsPhysicsMaterials scienceTelecommunicationsGeometryComposite materialQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions