Author:
Wang Xueqin,Shang Yadong,Lei Chunlin
Abstract
AbstractIn this paper, we consider the initial boundary value problem for generalized Zakharov equations. Firstly, we prove the existence and uniqueness of the global smooth solution to the problem by a priori integral estimates, the Galerkin method, and compactness theory. Furthermore, we discuss the approximation limit of the global solution when the coefficient of the strong nonlinear term tends to zero.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Guangdong Province
the Science and Technology Program of Guangzhou
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis