1 citations · 2 across the 5 of their papers we have counts for
5 papers
Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces
Wei Yan, Yimin Zhang, Yongsheng Li +1
We consider the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili (RMKP) equation \begin{align*} \partial_{x}\left(u_{t}-β\partial_{x}^{3}u +\partial_{x}(u^{2})\right…
Global well-posedness of the Cauchy problem for a fifth-order KP-I equation in anisotropic Sobolev spaces
Yongsheng Li, Wei Yan, Yimin Zhang
In this paper, we consider the Cauchy problem for the fifth-order KP-I equation \begin{align*} u_t + \partial_x^5u+\partial_x^{-1}\partial_y^2u + \frac{1}{2}\partial_x(u^2)=0. \end…
Global well-posedness of the generalized KP-II equation in anisotropic Sobolev spaces
Wei Yan, Yongsheng Li, Yimin Zhang
In this paper, we consider the Cauchy problem for the generalized KP-II equation \begin{eqnarray*} u_{t}-|D_{x}|^αu_{x}+\partial_{x}^{-1}\partial_{y}^{2}u+\frac{1}{2}\partial_{x}(u…
The Cauchy problem for higher-order modified Camassa-Holm equations on the circle
Wei Yan, Yongsheng Li, Xiaoping Zhai +1
In this paper, we investigate the Cauchy problem for the shallow water type equation \begin{eqnarray*} u_{t}+\partial_{x}^{2j+1}u + \frac{1}{2}\partial_{x}(u^{2})+ \partial_{x}(1-\…
The Cauchy problem for the shallow water typ equations in low regularity spaces on the circle
Wei Yan, Yongsheng LI, Xiaoping Zhai +1
In this paper, we investigate the Cauchy problem for the shallow water type equation \[ u_{t}+\partial_{x}^{3}u + \frac{1}{2}\partial_{x}(u^{2})+\partial_{x} (1-\partial_{x}^{2})^{…