Boundary (topology)

Operating system

Computer science

Variational principle

Classical mechanics

Fractal

Physics

Mathematics

Fractal dimension

Mathematical analysis

Fractal analysis

Fractal derivative

Space (punctuation)

Fractals

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.

VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES