Auto-Bäcklund transformations and integrability of ordinary and partial differential equations

Juan M. Conde, Pilar R. Gordoa, Andrew Pickering

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Resumen

We introduce a partial differential equation whose structure, in many respects, mimics that of the second Painlevé equation. For this equation we give auto-Bäcklund transformations of both ordinary differential equation and partial differential equation types. Our discussion is sufficiently generally phrased to allow us to draw some general conclusions about the connection between auto-Bäcklund transformations and the integrability of ordinary and partial differential equations.

Idioma originalInglés
Número de artículo023003JMP
PublicaciónJournal of Mathematical Physics
Volumen51
N.º3
DOI
EstadoPublicada - mar. 2010
Publicado de forma externa

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