التفاصيل البيبلوغرافية
| العنوان: |
Painleve asymptotics for the coupled Sasa-Satsuma equation. |
| المؤلفون: |
Liu, Nan, Lan, Zhong-Zhou, Yu, Jia-Dong |
| المصدر: |
Proceedings of the American Mathematical Society; Sep2023, Vol. 151 Issue 9, p3763-3778, 16p |
| مصطلحات موضوعية: |
RIEMANN-Hilbert problems, PAINLEVE equations, CAUCHY problem, EQUATIONS |
| مستخلص: |
We compute the long-time asymptotics of the solution to the Cauchy problem for coupled Sasa-Satsuma equation on the line with decaying initial data. By performing a nonlinear steepest descent arguments for an associated 5\times 5 matrix Riemann–Hilbert problem, it turns out that in the sector |x/t^{1/3}|\leq N, N constant, the asymptotics can be expressed in terms of the solution of a coupled modified Painlevé II equation, which is related to a 5\times 5 matrix Riemann–Hilbert problem. [ABSTRACT FROM AUTHOR] |
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