On the exact solutions of optical perturbed fractional Schrödinger equation
Erdoĝan Mehmet Özkan, Özgür Yıldırım, Ayten Özkan
Abstract
Abstract In the present study, the improved sub-equation method is applied to the optical perturbed fractional Schrödinger equation with Beta-derivative and the exact optical solutions are obtained. The generalized hyperbolic and trigonometric function solutions are found by the method. Several novel physical surface structures of the solutions are presented with various appropriate assigned values. The method aids in solving complicated physical phenomena of these dynamical models. Numerical implementations and graphical illustrations verify the theoretical results.
Topics & Concepts
Trigonometric functionsTrigonometryFractional calculusSchrödinger equationHyperbolic functionFunction (biology)Exact solutions in general relativityApplied mathematicsMittag-Leffler functionMathematical analysisPhysicsMathematicsEvolutionary biologyBiologyGeometryFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems