Title of article :
Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves
Author/Authors :
He ، Ji-Huan School of Science - Xi an University of Architecture and Technology
Abstract :
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 semiinverse 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.
Keywords :
Continuum assumption , two scale transform , Fractal dimension , variational derivative
Journal title :
Journal of Applied and Computational Mechanics
Journal title :
Journal of Applied and Computational Mechanics