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- W4287872011 abstract "We study the cubic ab-family of equations, which includes both the Fokas-Olver-Rosenau-Qiao (FORQ) and the Novikov (NE) equations. For $aneq0$, it is proved that there exist initial data in the Sobolev space $H^s$, $s<3/2$, with non-unique solutions. Multiple solutions are constructed by studying the collision of 2-peakon solutions. Furthermore, we prove the novel phenomenon that for some members of the family, collision between 2-peakons can occur even if the faster peakon is in front of the slower peakon." @default.
- W4287872011 created "2022-07-26" @default.
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- W4287872011 date "2020-02-02" @default.
- W4287872011 modified "2023-09-24" @default.
- W4287872011 title "Non-uniqueness for the ab-family of equations" @default.
- W4287872011 doi "https://doi.org/10.48550/arxiv.2002.00399" @default.
- W4287872011 hasPublicationYear "2020" @default.
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