We develop in this paper efficient and accurate numerical schemes based on the scalar auxiliary variable (SAV) approach for the generalized Zakharov system and generalized vector Zakharov system. These schemes are second-order in time, linear, unconditionally stable, only require solving linear systems with constant coefficients at each time step, and preserve exactly a modified Hamiltonian. Ample numerical results are presented to demonstrate the accuracy and robustness of the schemes.

中文翻译：

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广义Zakharov系统的高效准确的SAV方案

在本文中，我们基于标量辅助变量（SAV）方法为广义Zakharov系统和广义矢量Zakharov系统开发了高效，准确的数值方案。这些方案在时间上是二阶的，线性的，无条件稳定的，只需要在每个时间步求解具有恒定系数的线性系统，并精确地保留修改的哈密顿量。大量的数值结果表明了该方案的准确性和鲁棒性。