A 2-component $\mu$-Hunter-Saxton equation

Abstract

In this paper, we propose a two-component generalization of the generalized Hunter-Saxton equation obtained in \cite{BLG2008}. We will show that this equation is a bihamiltonian Euler equation, and also can be viewed as a bi-variational equation.

References in corpus (3)

• Integrability of invariant metrics on the diffeomorphism group of the circle
• On the N=2 Supersymmetric Camassa-Holm and Hunter-Saxton Equations
• A bi-Hamiltonian supersymmetric geodesic equation

Cited by in corpus (2)

• The Frobenius-Virasoro algebra and Euler equations
• The curvature of semidirect product groups associated with two-component Hunter-Saxton systems