AN EFFICIENT SCHEME FOR TWO DIFFERENT TYPES OF FRACTIONAL EVOLUTION EQUATIONS
Kang‐Le Wang
Abstract
In this work, the fractional Gross–Pitaevskii equation and fractional Radhakrishnan–Kundu Lakshmanan equation are investigated. A large number of new soliton solutions are obtained by implementing a simple and effective mathematical method, which is called the fractional unified solver method. Moreover, the 3D and 2D graphs are plotted to elaborate on the dynamic characteristics of these acquired solutions.
Topics & Concepts
SolverSimple (philosophy)Applied mathematicsScheme (mathematics)MathematicsWork (physics)Fractional calculusType (biology)SolitonMathematical optimizationMathematical analysisNonlinear systemPhysicsThermodynamicsPhilosophyEcologyBiologyEpistemologyQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems