Investigating blow-up phenomena in Novikov and FORQ equations indicates conditions for finite time failure.
In this paper, we investigate the blow-up phenomena for the Novikov equation and the FORQ equation with high-order nonlinear term γ uᵖuₓ . It is the special structure of these two equations that we can apply to establish sufficient conditions on the initial data to guarantee blow-up phenomena in finite time.
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Zhou et al. (2026) studied this question.
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