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On a periodic 2-component $\mu$-Hunter-Saxton equation
A periodic 2-component μ-Hunter-Saxton system blow-up scenario blow-up
2011/2/25
In this paper, we study the Cauchy problem of a periodic 2-component μ-Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component μ-Hunter-Saxton system by Kato’s s...
A 2-component $\mu$-Hunter-Saxton equation
Mathematical Physics (math-ph) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
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 al...