A high order wave equation of KdV type,a typical nonlinear wave equation,is sdudied based on the multi-symplectic theory in Hamilton space.The multi-symplectic formulations of a high order wave equation of KdV type with several conservation laws are presented.The symplectic Preissmann method is used to discretize the formulations. The numerical experiment of the solitary wave is given, and the results verify the efficiency of the multi-symplectic scheme.%高阶KdV 类型水波方程作为一类重要的非线性方程有着广泛的应用前景。基于 Hamilton空间系的多辛理论研究了一类高阶KdV 类型水波方程的数值解法，利用Preissmann 方法构造了离散半隐式的多辛格式，该格式满足多辛守恒律。数值算例表明该多辛离散格式具有较好的长时间数值稳定性。
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