title: Cauchy problem of the generalized Zakharov type system in [Formula: see text].
abstract: In this paper, we consider the initial value problem for a two-dimensional generalized Zakharov system with quantum effects. We prove the existence and uniqueness of global smooth solutions to the initial value problem in the Sobolev space through makinga prioriintegral estimates and the Galerkin method.
authors.affiliation: Department of Mathematics, Huaihua University, Huaihua, 418008 China.
authors.forename: Shujun
authors.initials: S
authors.lastname: You
authors.affiliation: Department of Mathematics, Huaihua University, Huaihua, 418008 China.
authors.forename: Xiaoqi
authors.initials: X
authors.lastname: Ning
keywords: Cauchy problem; Zakharov system; existence; uniqueness