On Exact Traveling-Wave Solutions for Local Fractional Korteweg-De Vries Equation
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Aip Publishing
Open Access Color
Green Open Access
No
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4
OpenAIRE Views
5
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No
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Top 1%
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Abstract
This paper investigates the Korteweg-de Vries equation within the scope of the local fractional derivative formulation. The exact traveling wave solutions of non-differentiable type with the generalized functions defined on Cantor sets are analyzed. The results for the non-differentiable solutions when fractal dimension is 1 are also discussed. It is shown that the exact solutions for the local fractional Korteweg-de Vries equation characterize the fractal wave on shallow water surfaces. Published by AIP Publishing.
Description
Yang, Xiao-Jun/0000-0003-0009-4599; Tenreiro Machado, J. A./0000-0003-4274-4879; Cattani, Carlo/0000-0002-7504-0424
Keywords
Fractals, Laplace equations, Surface waves, Exact solutions, Navier Stokes equations, KdV equations (Korteweg-de Vries equations), Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, Fractional partial differential equations
Fields of Science
0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology
Citation
Yang, X.J...et al. (2016). On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Chaos, 26(8). http://dx.doi.org/10.1063/1.4960543
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
168
Source
Chaos: An Interdisciplinary Journal of Nonlinear Science
Volume
26
Issue
8
Start Page
End Page
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Citations
CrossRef : 137
Scopus : 210
PubMed : 4
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Mendeley Readers : 23
SCOPUS™ Citations
210
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Web of Science™ Citations
203
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Page Views
5
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