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An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation

This paper extends the steepest descent method for Riemann-Hilbert problems introduced by Deift and Zhou in a critical new way. We present, in particular, an algorithm, to obtain the support of the Riemann-Hilbert problem for leading asymptotics. Applying this extended method to small dispersion KdV...

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Detalhes bibliográficos
Main Authors: Deift, P., Venakides, S., Zhou, X.
Formato: Artigo
Idioma:Inglês
Publicado em: The National Academy of Sciences 1998
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC18440/
https://ncbi.nlm.nih.gov/pubmed/11038618
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