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中文摘要：
广义Zakharov—Kuznetsov方程作为一类重要的非线性方程有着许多广泛的应用前景，基于Ham—ihon空间体系的多辛理论研究了广义Zakharov—Kuznetsov方程的数值解法，讨论了利用Preissmann方法构造离散多辛格式的途径，并构造了一种典型的半隐式的多辛格式，该格式满足多辛守恒律、局部能量守恒律．数值算例结果表明该多辛离散格式具有较好的长时间数值稳定性．
英文摘要：
Generalized Zakharov-Kuznetsov equation, a typical nonlinear wave equation, was sdudied based on the multi-symplectic theory in Hamilton space. The multi-symplectic formulations of general- ized Zakharov-Ku-znetsov equation with several conservation laws are presented. The multi-symplectic preissmann method is used to discretize the formulations. The numerical experiment is given, and the resuits verify the effciency of the multi-symplectic scheme.
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