dc.contributor.author |
Yang, Xiao-Jun
|
|
dc.contributor.author |
Tenreiro Machado, J. A.
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Cattani, Carlo
|
|
dc.date.accessioned |
2017-04-24T07:55:27Z |
|
dc.date.available |
2017-04-24T07:55:27Z |
|
dc.date.issued |
2016-08 |
|
dc.identifier.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 |
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dc.identifier.issn |
1054-1500 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/1567 |
|
dc.description.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 |
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dc.language.iso |
eng |
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dc.publisher |
Amer Inst Physics |
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dc.relation.isversionof |
10.1063/1.4960543 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
|
dc.subject |
KDV Equation |
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dc.subject |
Derivatives |
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dc.title |
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation |
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dc.type |
article |
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dc.relation.journal |
Chaos |
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dc.identifier.volume |
26 |
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dc.identifier.issue |
8 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü |
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