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arXiv · 1911.11510

Local well-posedness and global existence for a multi-component Novikov equation

Zhigang Li·Yuxi Hu·Xinglong Wu
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Abstract

Considered herein is a multi-component Novikov equation, which admits bi-Hamiltonian structure, infinitely many conserved quantities and peaked solutions. In this paper, we deduce two blow-up criteria for this system and global existence for some two-component case in $H^s$. Finally we verify that the system possesses peakons and periodic peakons.

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Zhigang Li, Yuxi Hu, Xinglong Wu. 2019-11-26. Local well-posedness and global existence for a multi-component Novikov equation. https://arxiv.org/abs/1911.11510

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