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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.PS2023
Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs
Georgi S. Medvedev, Dmitry E. Pelinovsky
The Swift-Hohenberg equation (SHE) is a partial differential equation that explains how patterns emerge from a spatially homogeneous state. It has been widely used in the theory of…