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nlin.SI2023
Bright and dark breathers of the Benjamin-Ono equation on the traveling periodic background
Jinbing Chen, Dmitry E. Pelinovsky
The Benjamin-Ono (BO) equation describes long internal waves of small amplitude in deep fluids. Compared to its counterpart for shallow fluids, the Korteweg-de Vries (KdV) equation…
nlin.SI2023★ 1 cited
Rogue waves arising on the standing periodic waves in the Ablowitz-Ladik equation
Jinbing Chen, Dmitry E. Pelinovsky
We study the standing periodic waves in the semi-discrete integrable system modelled by the Ablowitz-Ladik equation. We have related the stability spectrum to the Lax spectrum by s…