24 citations · 199 across the 28 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}}(\…
Remark on Well-posedness of Quadratic Schrödinger equation with nonlinearity in
Yuzhao Wang
In this remark, we give another approach to the local well-posedness of quadratic Schrödinger equation with nonlinearity in , which was already proved by Kishim…
Global well-posedness and scattering for Derivative Schrödinger equation
Baoxiang Wang, Yuzhao Wang
In this paper we study the Cauchy problem for the elliptic and non-elliptic derivative nonlinear Schrödinger equations in higher spatial dimensions () and some global well…
Local well-posedness for hyperbolic-elliptic Ishimori equation
Yuzhao Wang
In this paper we consider the hyperbolic-elliptic Ishimori initial-value problem. We prove that such system is locally well-posed for small data in level space, for $s> 3/2…