English

On the Cauchy problem and asymptotic behavior for a three-component Novikov system

Analysis of PDEs 2020-05-06 v1 Mathematical Physics math.MP

Abstract

This paper is mainly concerned with the well-posedness and exponential decay of solution for a integrable three-component Novikov system, which admits bi-Hamiltonian structure and infinitely many conserved quantities. The local well-posedness of this system in critical Besov space is established. The exponential decay of the solutions at infinity is also proved.

Keywords

Cite

@article{arxiv.2005.01926,
  title  = {On the Cauchy problem and asymptotic behavior for a three-component Novikov system},
  author = {Zhi-Gang Li and Zhonglong Zhao},
  journal= {arXiv preprint arXiv:2005.01926},
  year   = {2020}
}
R2 v1 2026-06-23T15:18:41.239Z