Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves

The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provid...

Full description

Saved in:
Bibliographic Details
Published inJournal of applied and computational mechanics Vol. 6; no. 4; pp. 735 - 740
Main Author Ji-Huan He
Format Journal Article
LanguageEnglish
Published Shahid Chamran University of Ahvaz 01.09.2020
Subjects
continuum assumption
fractal dimension
two scale transform
variational derivative
Online AccessGet full text

Cover

More Information
Summary:The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of the equation.
ISSN:2383-4536
2383-4536
DOI:10.22055/jacm.2019.14813