Periodic peakons to a generalized μ-Camassa-Holm-Novikov equation
• Guenbo Hwang,
• Byungsoo Moon
Guenbo Hwang
Daegu Univ
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Byungsoo Moon
Incheon National University
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## Abstract

In this paper, we study the existence of periodic peaked solitons to a generalized $$\mu$$-Camassa-Holm-Novikov equation with nonlocal cubic and quadratic nonlinearities. The equation is a $$\mu$$-version of a linear combination of the Camassa-Holm, modified Camassa-Holm, and Novikov equations. It is shown that the proposed equation admits a sigle peakons. It is natural extension of the previous results obtained in \cite{khe,moo,qu0} for the $$\mu$$-Camassa-Holm, modified $$\mu$$-Camassa-Holm, and $$\mu$$-Novikov equations, respectively.