论文标题
关于三组分的诺维科夫系统的凯奇问题和渐近行为
On the Cauchy problem and asymptotic behavior for a three-component Novikov system
论文作者
论文摘要
本文主要涉及可集成的三组分Novikov系统解决方案的良好性和指数衰减,该系统允许Bi-Hamiltonian结构和无限保守数量。该系统在关键的BESOV空间中的本地适合性。也证明了无穷大的解决方案的指数衰减。
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.