Abstract

In the paper, we mainly study wave-breaking and solitary wave solutions for a generalized Novikov equation. We first obtain a new blow-up result for strong solutions of a generalized Novikov equation in Hs(R) for any s>52. We then study the solitary wave solutions and find a single solitary wave solution which blows up in H1(R). This implies that the weak solutions of the equation may not be unique.

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