ON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL
Abdel‐Haleem Abdel‐Aty, Mostafa M. A. Khater, Raghda A. M. Attia, Mahmoud Abdel‐Aty, Hichem Eleuch
Abstract
In this research, the analytical and numerical solutions of the fractional nonlinear space-time Phi-four model are investigated by employing two systematic schemes and the B-spline schemes. A new fractional operator definition is applied to this model to convert the model from its fractional formula to an integer-order nonlinear ordinary differential equation. The considered model is of major interest for studying the nuclear interaction, elementary particles in a condensed medium, and propagation of dislocations in crystals. Explicit wave solutions are obtained.
Topics & Concepts
Nonlinear systemFractional calculusMathematicsInteger (computer science)Space (punctuation)Operator (biology)Applied mathematicsOrdinary differential equationMathematical analysisNonlinear modelWave modelDifferential equationPhysicsComputer scienceQuantum mechanicsTranscription factorRepressorGeneProgramming languageChemistryBiochemistryMeteorologyOperating systemFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems