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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.