110 citations · 484 across the 51 of their papers we have counts for
4 papers · 2 filters
On the Well-posedness of the Schrödinger-Korteweg-de Vries system
Zihua Guo, Yuzhao Wang
We prove that the Cauchy problem for the Schrödinger-Korteweg-de Vries system is locally well-posed for the initial data belonging to the Sovolev spaces $L^2(\R)\times H^{-{3/4}}(\…
Global well-posedness and I-method for the fifth-order Korteweg-de Vries equation
Wengu Chen, Zihua Guo
We prove that the Kawahara equation is locally well-posed in by using the ideas of -type space \cite{GuoKdV}. Next we show it is globally well-posed in …
Sharp Well-posedness for the Benjamin Equation
Wengu Chen, Zihua Guo, Jie Xiao
Having the ill-posedness in the range of the Cauchy problem for the Benjamin equation with an initial data, we prove that the already-established loca…
On the local regularity of the KP-I equation in anisotropic Sobolev space
Zihua Guo, Lizhong Peng, Baoxiang Wang
We prove that the KP-I initial-value problem \begin{eqnarray*} \begin{cases} \partial_tu+\partial_x^3u-\partial_x^{-1}\partial_y^2u+\partial_x(u^2/2)=0 {on}{\R}^2_{x,y}\times {\R}_…