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- W4313463347 abstract "In this paper we discuss pseudo-peakons, a new class of weak solutions found in the study of higher order equations of Camassa-Holm (CH) type. A pseudo-peakon is a weak bounded solution with differentiable first derivative and continuous and bounded second derivative, but such that any higher order derivative blows up. We recall that pseudo-peakons appear if we change the momentum m appearing in the Camassa-Holm equation from m=(1−∂x2)u to m=(1−α∂x2)(1−β∂x2)u (α and β are two real parameters). Here we note that they also appear if we look for “geometrically integrable” fifth order equations, that is, for equations describing one-parametric families of pseudo-spherical surfaces in a sense explained in Section 1." @default.
- W4313463347 created "2023-01-06" @default.
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- W4313463347 date "2023-01-01" @default.
- W4313463347 modified "2023-09-25" @default.
- W4313463347 title "Fifth-order equations of Camassa-Holm type and pseudo-peakons" @default.
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- W4313463347 doi "https://doi.org/10.1016/j.apnum.2022.12.015" @default.
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