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The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method

Safoura Rezaei Aderyani, Reza Saadati, Javad Vahidi, Tofigh Allahviranloo

2022Advances in Mathematical Physics28 citationsDOIOpen Access PDF

Abstract

Using the trial equation method (TEM) and modified trial equation method (MTEM), firstly, we find the analytical solutions of the conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE), and finally, we present numerical results in tables and charts.

Topics & Concepts

Conformable matrixMathematicsNonlinear systemNonlinear Schrödinger equationBurgers' equationApplied mathematicsMathematical analysisSchrödinger equationPartial differential equationPhysicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems