New explicit optical solitons of fractional nonlinear evolution equation via three different methods
Luu Vu Cam Hoan, Saud Owyed, Loubna Ouahid, M.A. Abdou, Yu‐Ming Chu
Abstract
We determine optical solutions of the fractional-order Heisenberg models of ferromagnetic spin chains. We use three different techniques known as the method of new sub-equation, extended Kudryashov expansion and auxiliary equation. We express new solutions in terms of hyperbolic, rational, trigonometric functions. Computational results indicate the efficiency and potential of the methods.
Topics & Concepts
TrigonometryOrder (exchange)Nonlinear systemTrigonometric functionsApplied mathematicsMathematicsRational functionSpin (aerodynamics)FerromagnetismNonlinear opticalPhysicsMathematical analysisQuantum mechanicsGeometryThermodynamicsFinanceEconomicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems