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arXiv · 1911.08104

KAM tori for the generalized Bejamin-Bona-Mahony equation

Guanghua Shi·Dongfeng Yan
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Abstract

A generalized Benjamin-Bona-Mahony (gBBM) equation subject to the periodic boundary condition is studied in this paper. Based on a new infinite dimensional Kolomogorov-Arnold-Moser (KAM) theorem with normal frequencies of finite limit-points, it is shown that the gBBM equation admits plenty of time-quasi-periodic solutions with two frequencies of high modes.

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Guanghua Shi, Dongfeng Yan. 2019-11-19. KAM tori for the generalized Bejamin-Bona-Mahony equation. https://arxiv.org/abs/1911.08104

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