Analytical Solutions of Nonlinear Beta Fractional Schrödinger Equation Via Sine-Cosine Method
Volkan Ala, Gaukhar Shaikhova
Abstract
Abstract In this work, the sine-cosine method is used to construct the analytical solutions of nonlinear time fractional Schröinger equation described by beta derivative. Applying the proposed method, we get the new exact solutions of the considered equation. Moreover, we plot the 2D–3D figures according to the suitable parameters by the aid of computer software. It is inferred from the results that the proposed method is effective, powerful and straightforward for new exact solutions of nonlinear partial differential equations containing fractional derivatives arising in mathematical physics.
Topics & Concepts
MathematicsTrigonometric functionsSineNonlinear systemFractional calculusMathematical analysisApplied mathematicsPartial differential equationBETA (programming language)GeometryPhysicsProgramming languageComputer scienceQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems