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.

中文翻译：

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具有非线性函数项的广义Zakharov方程的初边值问题。

在本文中，我们考虑了广义Zakharov方程的初始边值问题。首先，我们通过先验积分估计，Galerkin方法和紧致性理论证明了该问题的全局光滑解的存在性和唯一性。此外，当强非线性项的系数趋于零时，我们讨论了整体解的逼近极限。