On Exact Traveling-Wave Solutions for Local Fractional Korteweg-De Vries Equation
| dc.contributor.author | Tenreiro Machado, J. A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Cattani, Carlo | |
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.date.accessioned | 2017-04-24T07:55:27Z | |
| dc.date.accessioned | 2025-09-18T14:10:30Z | |
| dc.date.available | 2017-04-24T07:55:27Z | |
| dc.date.available | 2025-09-18T14:10:30Z | |
| dc.date.issued | 2016 | |
| dc.description | Yang, Xiao-Jun/0000-0003-0009-4599; Tenreiro Machado, J. A./0000-0003-4274-4879; Cattani, Carlo/0000-0002-7504-0424 | en_US |
| 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. | en_US |
| 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 | en_US |
| dc.identifier.doi | 10.1063/1.4960543 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.issn | 1089-7682 | |
| dc.identifier.scopus | 2-s2.0-84981516862 | |
| dc.identifier.uri | https://doi.org/10.1063/1.4960543 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13706 | |
| dc.language.iso | en | en_US |
| dc.publisher | Aip Publishing | en_US |
| dc.relation.ispartof | Chaos: An Interdisciplinary Journal of Nonlinear Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | On Exact Traveling-Wave Solutions for Local Fractional Korteweg-De Vries Equation | en_US |
| dc.title | On exact traveling-wave solutions for local fractional Korteweg-de Vries equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Yang, Xiao-Jun/0000-0003-0009-4599 | |
| gdc.author.id | Tenreiro Machado, J. A./0000-0003-4274-4879 | |
| gdc.author.id | Cattani, Carlo/0000-0002-7504-0424 | |
| gdc.author.scopusid | 37006104500 | |
| gdc.author.scopusid | 55989030100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 7004857300 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Tenreiro Machado, J. A./M-2173-2013 | |
| gdc.author.wosid | Cattani, Carlo/I-5051-2013 | |
| gdc.bip.impulseclass | C3 | |
| gdc.bip.influenceclass | C3 | |
| gdc.bip.popularityclass | C3 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Yang, Xiao-Jun] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Peoples R China; [Tenreiro Machado, J. A.] Polytech Porto, Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida, P-4249015 Oporto, Portugal; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space & Sci, Magurele, Romania; [Cattani, Carlo] Univ Tuscia, Engn Sch DEIM, I-01100 Viterbo, Italy | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 26 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2516665003 | |
| gdc.identifier.pmid | 27586629 | |
| gdc.identifier.wos | WOS:000383912400034 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.index.type | PubMed | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.downloads | 4 | |
| gdc.oaire.impulse | 80.0 | |
| gdc.oaire.influence | 1.4612685E-8 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Fractals | |
| gdc.oaire.keywords | Laplace equations | |
| gdc.oaire.keywords | Surface waves | |
| gdc.oaire.keywords | Exact solutions | |
| gdc.oaire.keywords | Navier Stokes equations | |
| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
| gdc.oaire.keywords | Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.popularity | 7.618023E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0211 other engineering and technologies | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.views | 5 | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 23.86872676 | |
| gdc.openalex.normalizedpercentile | 1.0 | |
| gdc.openalex.toppercent | TOP 1% | |
| gdc.opencitations.count | 168 | |
| gdc.plumx.crossrefcites | 137 | |
| gdc.plumx.facebookshareslikecount | 29 | |
| gdc.plumx.mendeley | 23 | |
| gdc.plumx.pubmedcites | 4 | |
| gdc.plumx.scopuscites | 210 | |
| gdc.publishedmonth | 8 | |
| gdc.scopus.citedcount | 210 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 203 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |