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利用准三维的fKdV方程及四区间划分法,理论上求得了先锋孤立子生成诸速度—先锋孤立子的运动速度、压水区中流的速度及尾波列第一个跨零点的速度。所述理论是Xu等人的先锋孤立子生成理论的一个推广。作为应用的例子,运用作者得到的理论结果,对具有相同截面面积的等腰三角形和正方形截面的直渠中先锋孤立子生成的诸速度进行了理论预报和数值比较。比较指出,理论和数值结果吻合得很好。
Using quasi-three-dimensional fKdV equation and four-zone partitioning method, the velocity of avant-garde soliton generation speed-avant-garde solitons, velocity of midstream flow in pressurized area and speed of the first cross-zero of coda wave train are theoretically obtained. The theory is an extension of Xu et al.’s avant-garde soliton generation theory. As an example of the application, using theoretical results obtained by the authors, theoretical predictions and numerical comparisons of the velocities generated by avant-garde solitons of isosceles triangles and square-shaped canals with the same cross-sectional area are carried out. It is pointed out that the theoretical and numerical results are in good agreement.