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Mathematics > Analysis of PDEs

arXiv:2509.02907 (math)
[Submitted on 3 Sep 2025 ]

Title: Long time asymptotics for the KPII equation

Title: KPII方程的长时间渐进行为

Authors:Derchyi Wu
Abstract: The long-time asymptotics of small Kadomtsev-Petviashvili II (KPII) solutions is derived using the inverse scattering theory and the stationary phase method.
Abstract: 小Kadomtsev-Petviashvili II (KPII) 解的长时间渐进行为是通过逆散射理论和驻相法推导得到的。
Subjects: Analysis of PDEs (math.AP) ; Exactly Solvable and Integrable Systems (nlin.SI)
MSC classes: 35Q53, 35P25, 37K15
Cite as: arXiv:2509.02907 [math.AP]
  (or arXiv:2509.02907v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2509.02907
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Derchyi Wu [view email]
[v1] Wed, 3 Sep 2025 00:26:24 UTC (26 KB)
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