Tenreiro Machado, J. A.Baleanu, DumitruCattani, CarloYang, Xiao-Jun02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2017-04-242025-09-182017-04-242025-09-182016Yang, X.J...et al. (2016). On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Chaos, 26(8). http://dx.doi.org/10.1063/1.49605431054-15001089-7682https://doi.org/10.1063/1.4960543https://hdl.handle.net/20.500.12416/13706Yang, Xiao-Jun/0000-0003-0009-4599; Tenreiro Machado, J. A./0000-0003-4274-4879; Cattani, Carlo/0000-0002-7504-0424This 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.eninfo:eu-repo/semantics/closedAccessArticle10.1063/1.49605432-s2.0-84981516862