Yang, Xiao-JunTenreiro Machado, J. A.Baleanu, DumitruCattani, Carlo2017-04-242017-04-242016Yang, X.J...et al. (2016). On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Chaos, 26(8). http://dx.doi.org/10.1063/1.49605431054-1500http://hdl.handle.net/20.500.12416/1567This 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 Publishingeninfo:eu-repo/semantics/closedAccessKDV EquationDerivativesArticle26810.1063/1.4960543