Zhen He, Wei Luo, Zhaoyang Yin
In this paper, we concentrate on the Novikov equation. We provide a description of the solution in a neighborhood of each singular point.
This paper contains 2 sections, 1 theorem, 25 equations.
Theorem 1.1
Consider generic initial data $u_0\in C^3(\mathbb{R}) \cap H^1(\mathbb{R}) \cap W^{1,4}(\mathbb{R})$ as in NOV, with $u_0\in C^\infty(\mathbb{R})$. Call $(u,v,\xi,x,t)$ the corresponding solution of the semilinear system 006 and let u=u(x,t) be the solution to the original equation 001. Consider a
