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从Ｌｏｎｇｕｅｔ－Ｈｉｇｇｉｎｓ于１９６３年建立的非线性随机海浪模型出发，对各向同性波面斜率的联台概率统计分布进行了理论研究．结果表明，在三阶近似下，波面斜率联合概率统计分有为截断的Ｇｒａｍ－Ｃｈａｒｌｉｅｒ级数，截断的项数取决于非线性近似的阶数，每一阶近似均对前一阶近似结果有所修正如果不考虑非线性耦合相互作用的影响，则分布蜕化为高斯分布．
Based on the nonlinear stochastic wave model established by Longuet-Higgins in 1963, the statistical distribution of the joint probability of isotropic wave slope is theoretically studied. The results show that under the third-order approximation, the joint probability statistics of wavefront slopes is a truncated Gram-Charlier series. The number of truncated items depends on the order of the nonlinear approximation. Each approximation has the same result as the previous approximation The correction degenerates to a Gaussian distribution if the effect of the nonlinear coupling interaction is not taken into account.