The problem of the peakon and antipeakon solutions of the Novikov equation including the term ωux is studied. It is well known that, when ω=0, the Novikov equation admits peakon and antipeakon solutions. In this study, it is shown via the homotopy analysis method that, even in the case where ω≠0, the Novikov equation also admits peakon and antipeakon solutions.
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