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- W2950604112 abstract "In the small dispersion limit, solutions to the Korteweg-de Vries equation develop an interval of fast oscillations after a certain time. We obtain a universal asymptotic expansion for the Korteweg-de Vries solution near the leading edge of the oscillatory zone up to second order corrections. This expansion involves the Hastings-McLeod solution of the Painlev'e II equation. We prove our results using the Riemann-Hilbert approach." @default.
- W2950604112 created "2019-06-27" @default.
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- W2950604112 date "2008-12-22" @default.
- W2950604112 modified "2023-10-01" @default.
- W2950604112 title "Painleve II asymptotics near the leading edge of the oscillatory zone for the Korteweg-de Vries equation in the small dispersion limit" @default.
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