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

Xiao-Jun Yang; Jordan Hristov; H. M. Srivastava; Bashir Ahmad

doi:10.1155/2014/278672

Abstract and Applied Analysis (Jan 2014)

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

Xiao-Jun Yang,
Jordan Hristov,
H. M. Srivastava,
Bashir Ahmad

Affiliations

Xiao-Jun Yang: Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China
Jordan Hristov: Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, 8 Kliment Ohridsky Boulevard, 1756 Sofia, Bulgaria
H. M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada
Bashir Ahmad: Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

DOI: https://doi.org/10.1155/2014/278672
Journal volume & issue: Vol. 2014

Abstract

Read online

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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/aaa/

About the journal