Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system
نویسندگان
چکیده
The stability of the Camassa-Holm (periodic) peakons in the dynamics of an integrable shallow-water-type system is investigated. A variational approach with the use of the Lyapunov method is presented to prove the variational characterization and the orbital stability of these wave patterns. In addition, a sufficient condition for the global existence of strong solutions is given. Finally, a local-in-space wave-breaking criterion is illustrated in the periodic setting. Mathematics Subject Classification Primary: 35B35 · 35G25
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