Initial boundary value problem for generalized Zakharov equations with nonlinear function terms

Abstract

Abstract In 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.

Keywords

• Generalized Zakharov equations
• Initial boundary value
• Existence and uniqueness
• Global smooth solution
• Approximation of solution