Local well-posedness and global existence for a multi-component Novikov equation
Local well-posedness and global existence for a multi-component Novikov equation
复制标题
多分量诺维科夫方程的局部适定性和全局存在性
DOI：
10.1080/00036811.2020.1721477
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发表时间：
2021
影响因子：
1.1
通讯作者：
Wu Xinglong
中科院分区：
文献类型：
--
作者：
Li Zhigang;Hu Yuxi;Wu Xinglong
本文考虑一个多分量Novikov方程，它具有双Hamilton结构，无穷多个守恒量和峰值解。本文推导了该系统的两个爆破准则以及中某些两分量情况的整体存在性。最后，我们验证了该系统具有峰值和周期峰值。
Considered herein is a multi-component Novikov equation, which admits bi-Hamiltonian structure, infinitely many conserved quantities and peaked solutions. In this paper, we deduce two blow-up criteria for this system and global existence for some two-component case in . Finally, we verify that the system possesses peakons and periodic peakons.