Double Extended Cubic Peakon Equation

preprint2014arXivOpen access

Abstract

The Hamiltonian structure for the supersymmetric N=2N=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.

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