English

Local well-posedness and global existence for a multi-component Novikov equation

Analysis of PDEs 2019-11-27 v1

Abstract

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 HsH^s. Finally we verify that the system possesses peakons and periodic peakons.

Keywords

Cite

@article{arxiv.1911.11510,
  title  = {Local well-posedness and global existence for a multi-component Novikov equation},
  author = {Zhigang Li and Yuxi Hu and Xinglong Wu},
  journal= {arXiv preprint arXiv:1911.11510},
  year   = {2019}
}