Three-dimensional Korteweg-de Vries equation and traveling wave solutions

The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n=1 and n=2 are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using F...

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Detalhes bibliográficos
Autor principal: Kenneth L. Jones
Formato: Artigo
Idioma:English
Publicado em: Wiley 2000-01-01
coleção:International Journal of Mathematics and Mathematical Sciences
Assuntos:
Acesso em linha:http://dx.doi.org/10.1155/S0161171200004440