Vector optical soliton and periodic solutions of a coupled fractional nonlinear Schrödinger equation
Ben‐Hai Wang, Peng‐Hong Lu, Chao‐Qing Dai, Yixiang Chen
Abstract
A coupled space-time fractional nonlinear Schrödinger equation is solved by the fractional Riccati method and fractional dual-function method. By choosing the appropriate values of parameters, we obtain exact analytical vector soliton and periodic solutions constructed by the Mittag–Leffler function and give the special conditions for the formation of solitons. The two- and three-dimensional graphs of these solutions are displayed. These solutions are helpful to understand the complex physical and engineering problems described by the coupled space-time fractional nonlinear Schrödinger equation.
Topics & Concepts
SolitonFractional calculusRiccati equationNonlinear systemNonlinear Schrödinger equationMathematicsMathematical analysisSpace (punctuation)Function (biology)Periodic waveSchrödinger equationPhysicsMathematical physicsApplied mathematicsPartial differential equationQuantum mechanicsTraveling waveComputer scienceEvolutionary biologyBiologyOperating systemNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions