Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation

A mathematical model of fractal waves on shallow water surfaces is developed by using the concepts of local fractional calculus. The derivations of linear and nonlinear local fractional versions of the Korteweg-de Vries equation describing fractal waves on shallow water surfaces are obtained.

Bibliographic Details
Main Authors: Xiao-Jun Yang, Jordan Hristov, H. M. Srivastava, Bashir Ahmad
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/278672