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- W2921903178 abstract "We consider the initial-value problem for the Sasa-Satsuma equation on the line with decaying initial data. Using a Riemann-Hilbert formulation and steepest descent arguments, we compute the long-time asymptotics of the solution in the sector $|x| leq M t^{1/3}$, $M$ constant. It turns out that the asymptotics can be expressed in terms of the solution of a modified Painlev'e II equation. Whereas the standard Painlev'e II equation is related to a $2 times 2$ matrix Riemann-Hilbert problem, this modified Painlev'e II equation is related to a $3 times 3$ matrix Riemann--Hilbert problem." @default.
- W2921903178 created "2019-03-22" @default.
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- W2921903178 date "2019-03-12" @default.
- W2921903178 modified "2023-09-24" @default.
- W2921903178 title "Asymptotics for the Sasa--Satsuma equation in terms of a modified Painlev'e II transcendent" @default.
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- W2921903178 doi "https://doi.org/10.48550/arxiv.1903.04857" @default.
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