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arXiv · 2005.01926

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

Zhi-Gang Li·Zhonglong Zhao
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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.

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Zhi-Gang Li, Zhonglong Zhao. 2020-05-05. On the Cauchy problem and asymptotic behavior for a three-component Novikov system. https://arxiv.org/abs/2005.01926

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