We consider the Cauchy problem with localized initial data for a linear pseudodifferential equation describing water waves with dispersion taken into account and obtain a uniform asymptotic solution in a neighborhood of regular points of the wave front, the size of the neighborhood being independent of the small parameters occurring in the problem.

中文翻译：

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线性假微分方程描述局部源水波的渐近解的统一公式

我们考虑具有描述离散性的描述水波的线性伪微分方程的局部初值的柯西问题，并在波前规则点的邻域中获得均匀的渐近解，邻域的大小与小参数无关发生在问题上。