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DOI：
10.1007/s00332-021-09765-7
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发表时间：
2021-12
影响因子：
3
通讯作者：
Fudong Wang;W. Ma
中科院分区：
文献类型：
--
作者：
Fudong Wang;W. Ma
我们研究了在mKdV层次（由AKNS层次简化而来）中产生的振荡Riemann-Hilbert问题（RHPs）的长时间渐近行为。我们的分析是基于最陡下降的概念。我们考虑了AKNS分层的逆散射变换和加权Sobolev初始数据产生的rhp。详细地给出了时空相关变量的三个区域的渐近公式。
We study the long-time asymptotic behavior of oscillatory Riemann–Hilbert problems (RHPs) arising in the mKdV hierarchy (reducing from the AKNS hierarchy). Our analysis is based on the idea of-steepest descent. We consider RHPs generated from the inverse scattering transform of the AKNS hierarchy with weighted Sobolev initial data. The asymptotic formula for three regions of the spatial- and temporal-dependent variables is presented in details.