A novel perspective to the local fractional Zakharov–Kuznetsov‐modified equal width dynamical model on Cantor sets
Kang‐Le Wang
Abstract
In this work, the local fractional Zakharov–Kuznetsov‐modified equal width dynamical (LFZKMEWD) model is investigated on Cantor sets by using the local fractional derivative (LFD). The fractal variational wave method (FVWM) is employed to obtain the exact traveling wave solutions of the nondifferentiable type for the LFZKMEW model. The numerical example illustrates the FVWM is efficient and straightforward. The properties of exact traveling wave solutions are also elaborated by some figures.
Topics & Concepts
MathematicsFractional calculusPerspective (graphical)FractalTraveling waveWork (physics)Mathematical analysisApplied mathematicsDerivative (finance)Type (biology)Mathematical physicsGeometryPhysicsQuantum mechanicsEconomicsBiologyEcologyFinancial economicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsDifferential Equations and Numerical Methods