Local well-posedness and global existence for a multi-component Novikov equation
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 Hs. Finally we verify that the system possesses peakons and periodic peakons.
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