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 $H^s$. Finally we verify that the system possesses peakons and periodic peakons.

References in corpus (5)

• An integrable shallow water equation with peaked solitons
• On an integrable two-component Camassa-Holm shallow water system
• A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
• Multi-component generalizations of the {CH} equation: Geometrical Aspects, Peakons and Numerical Examples
• Generalisations of the Camassa-Holm equation