Birkhoff Normal Form and Long Time Existence for d-Dimensional Generalized Pochhammer–Chree Equation

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发表日期：

2025年2月6日

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Hongzi Cong,
Siming Li,
Yingte Sun,
Xiaoqing Wu

摘要

This paper is devoted to the proof of the long time existence results for the generalized Pochhammer–Chree equation on the irrational torus $\mathbb {T}^d_{\eta }$ $T_{η}^{d}$ and the rational torus $\mathbb {T}^d_{\zeta }$ $T_{ζ}^{d}$ by using Birkhoff normal form technique, the so-called ${ tame}$ $tame$ property of the nonlinearity and a careful analysis of the frequency.