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SOLITON PROPAGATION IN INHOMOGENEOUS MEDIA WITH SHARP BOUNDARIES

机译:具有锋利边界的非均匀介质中孤子的传播

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摘要

Thus, from the numerical experiments it is clearly seen that it is rather difficult to destroy the soliton structure. The soliton represents the corpuscle moving in the nonuniform medium. In the smoothly nonuniform medium the trajectory of the driving soliton is described by the usual geometrical optics. But on the boundaries of the media the combination of wave properties with the nonlinear focusing can result in unusual (compared with linear problems) behaviour of the trajectories. The soliton on the labile trajectory can not decide where it should go for a long time.
机译:因此,从数值实验可以清楚地看出,破坏孤子结构是相当困难的。孤子表示小球在非均匀介质中移动。在光滑的非均匀介质中,行驶孤子的轨迹由通常的几何光学系统描述。但是,在介质的边界上,波属性与非线性聚焦的结合会导致轨迹的异常行为(与线性问题相比)。不稳定轨迹上的孤子无法确定应长时间定位。

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