Double Extended Cubic Peakon Equation

Abstract

The Hamiltonian structure for the supersymmetric $N=2$ Novikov equation is presented. The bosonic sector give us two-component generalization of the cubic peakon equation. The double extended: two-component and two-peakon Novikov equation is defined. The Bi-Hamiltonian structure for this extended system is constructed.

the misprints are corrected

References in corpus (2)

• Generalisations of the Camassa-Holm equation
• Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries

Cited by in corpus (1)

• Local well-posedness and blow-up criteria for a two-component Novikov system in the critical Besov space