VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES
Ji‐Huan He, Wei-Fan Hou, Chun‐Hui He, Tareq Saeed, Tasawar Hayat
Abstract
The morphology of a shallow-water wave is affected by the unsmooth boundary, while its peak is rarely changed. This phenomenon cannot be explained by a differential model. This paper adopts a fractal modification of the Boussinesq equation, and its traveling solitary solution is studied through its fractal variational principle, the results reveal the basic properties of solitary waves in fractal space.
Topics & Concepts
FractalMathematicsMathematical analysisVariational principleFractal derivativeSpace (punctuation)Boundary (topology)Fractal dimensionClassical mechanicsPhysicsFractal analysisComputer scienceOperating systemNonlinear Waves and SolitonsOcean Waves and Remote SensingNonlinear Photonic Systems