NOVEL TRAVELING WAVE SOLUTIONS FOR THE FRACTAL ZAKHAROV–KUZNETSOV–BENJAMIN–BONA–MAHONY MODEL
Kang‐Le Wang
Abstract
In this paper, the fractal Zakharov–Kuznetsov–Benjamin–Bona–Mahony model (FZKBBM) is studied based on the local fractional derivative sense on Cantor sets for the first time. The different types of traveling wave solutions of the FZKBBM are successfully obtained by using two reliable and efficient approaches, which are fractal Yang wave method (FYWM) and fractal variational method (FVM). The properties of the obtained traveling wave solutions of non-differential type are elaborated by using some three-dimensional simulation graphs.
Topics & Concepts
FractalTraveling waveMathematicsType (biology)Derivative (finance)Fractal derivativeFractional calculusMathematical analysisApplied mathematicsPhysicsFractal dimensionFractal analysisGeologyEconomicsFinancial economicsPaleontologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems