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- W49496591 abstract "A method for proving chaos in partial differential equations is discussed and applied to the Benjamin-Ono equation subject to perturbations. The perturbations are of two types: one that corresponds to viscous dissipation, the so-called Burger's term, and one that involves the Hilbert transform and has been used to model Landau damping. The method proves chaos in the PDE by proving temporal chaos in its pole solutions. The spatial structure of the pole solutions remains intact, but their positions are chaotic in time. Melnikov's method is invoked to show this temporal chaos. It is discovered that the pole behavior is very sensitive to the Burger's perturbation, but is quite insensitive to the perturbation involving the Hilbert transform." @default.
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- W49496591 date "1986-11-01" @default.
- W49496591 modified "2023-09-27" @default.
- W49496591 title "Structural stability and chaotic solutions of perturbed Benjamin-Ono equations" @default.
- W49496591 hasPublicationYear "1986" @default.
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