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math.AP2022★ 2 cited
The Quasi-Periodic Cauchy Problem for the Generalized Benjamin-Bona-Mahony Equation on the Real Line
David Damanik, Yong Li, Fei Xu
This paper studies the existence and uniqueness problem for the generalized Benjamin-Bona-Mahony (gBBM) equation with quasi-periodic initial data on the real line. We obtain an exi…
math.AP2021★ 4 cited
Local Existence and Uniqueness of Spatially Quasi-Periodic Solutions to the Generalized KdV Equation
David Damanik, Yong Li, Fei Xu
In this paper, we study the existence and uniqueness of spatially quasi-periodic solutions to the generalized KdV equation (gKdV for short) on the real line with quasi-periodic ini…