On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

Yang, Xiao-Jun; Machado, J. A. Tenreiro; Baleanu, Dumitru; Cattani, Carlo

http://hdl.handle.net/10400.22/9448

Utilize este identificador para referenciar este registo.

Nome:	Descrição:	Tamanho:	Formato:
ART_TenreiroMachado_DEE_14_2016.pdf		1.46 MB	Adobe PDF	Ver/Abrir

Contacte-nos

Autores

Yang, Xiao-Jun

Machado, J. A. Tenreiro

Baleanu, Dumitru

Cattani, Carlo

Resumo(s)

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.

Palavras-chave

Exact solutions Fractals Surface waves Navier Stokes equations Laplace equations

URI

http://hdl.handle.net/10400.22/9448

Editora

AIP Publishing

DOI

http://dx.doi.org/10.1063/1.4960543

Coleções

ISEP - DEE - Artigos

Métricas Alternativas

Ver registo completo