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arxiv: 1011.4130 · v1 · pith:OO4K77I6new · submitted 2010-11-18 · 🧮 math.AP

Stability of the μ-Camassa-Holm Peakons

classification 🧮 math.AP
keywords equationcamassa-holmpeakonscloselydifferentialintegrablenonlinearorbitally
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The $\mu$-Camassa-Holm ($\mu$CH) equation is a nonlinear integrable partial differential equation closely related to the Camassa-Holm equation. We prove that the periodic peaked traveling wave solutions (peakons) of the $\mu$CH equation are orbitally stable.

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