This study reveals global existence and finite-time blow-up scenarios for peakon solutions in a two-component Novikov system, suggesting pivotal insights in mathematical fluid dynamics.
This paper is devoted to an integrable two‐component Novikov system with peakons, which is the two‐component generalization of the Novikov equation. The precise blow‐up scenario for the strong solutions to the system is derived. Furthermore, we prove that some initial data develop into global strong solutions to the system, while some certain initial profiles lead to blow‐up strong solutions in finite time.
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Zhao et al. (2025) studied this question.
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