Peakons of Novikov Equation via the Homotopy Analysis Method
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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