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

摘要

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 . Finally, we verify that the system possesses peakons and periodic peakons.