Abstract: |
It is well-known that the Camassa-Holm (CH)-type equations admit peaked solitons. In this talk, we are mainly concerned with the nonlocal $\mu$-CH-type equations. First, we review the known results and properties of $\mu$-CH and modified CH equation. Second, we introduce the higher-order $\mu$-CH equations. Third, stability and instability of periodic peaked solitons to the higher-order CH equations will be studied. |
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