Some optical soliton solutions of space-time conformable fractional Schrödinger-type models
M.T. Darvishi, Mohammad Najafi, Abdul‐Majid Wazwaz
Abstract
Abstract In this article, we introduce a family of nonlinear (1+1) dimensions Schrödinger-type models with space-time fractional evolution in the sense of a conformable fractional derivative. We apply the modified Kudryashov method in context of fractional complex transformation and seek a variety of optical soliton solutions for these equations. The modified Kudryashov method is efficient and consistent for solving nonlinear space-time fractional differential equations.
Topics & Concepts
Conformable matrixSolitonContext (archaeology)Fractional calculusType (biology)Nonlinear systemVariety (cybernetics)Transformation (genetics)Space (punctuation)Applied mathematicsDerivative (finance)PhysicsMathematicsMathematical physicsTopology (electrical circuits)Mathematical analysisComputer scienceQuantum mechanicsCombinatoricsGeneEconomicsChemistryEcologyPaleontologyOperating systemStatisticsBiologyBiochemistryFinancial economicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems