Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yang Xiao-Jun¹,Hristov Jordan²,Srivastava H. M.³,Ahmad Bashir⁴

Affiliation:

1. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

2. Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, 8 Kliment Ohridsky Boulevard, 1756 Sofia, Bulgaria

3. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3R4

4. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/278672.pdf

Reference30 articles.

1. Mémoires Présentés par Divers Savants à l'Académie des Sciences de l'Institut National de France,1877

2. XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves

3. The Korteweg-de Vries-Burgers equation

4. Solitons from sine waves: Analytical and numerical methods for non-integrable solitary and cnoidal waves

5. On the generalized Korteweg-deVries equation

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Non-Standard Finite Difference and Vieta-Lucas Orthogonal Polynomials for the Multi-Space Fractional-Order Coupled Korteweg-de Vries Equation;Symmetry;2024-02-16

2. Numerical Solutions of the Multi-Space Fractional-Order Coupled Korteweg–De Vries Equation with Several Different Kernels;Fractal and Fractional;2023-09-29

3. Certain New Models of the Multi-Space Fractal-Fractional Kuramoto-Sivashinsky and Korteweg-de Vries Equations;Mathematics;2022-03-28

4. A new result for fractional differential equation with nonlocal initial value using Caputo-Fabrizio derivative;Filomat;2022

5. Analytical solution of non-linear fractional diffusion equation;Advances in Difference Equations;2021-07-10