论文标题
KDV Soliton越过散发和分散边界
The KdV soliton crosses a dissipative and dispersive border
论文作者
论文摘要
我们演示了孤子的行为，在非疾病和分散剂构培养基中移动时，它遇到了有限的宽度屏障，并具有不同的耗散和/或分散。超出层的分散量是恒定的（但不一定具有相同的值），而耗散为无效。通过的波是保留孤子的形式（尽管具有不同的参数），或者变成双索顿。反射波可能可以忽略不计或不存在。这对从潮湿的空气传播到干燥的情况类似于蒸气饱和/冷凝区域的光线类似。使用KDV保守量的相对衰减给出了对输出预测的一些粗略估计。 关键词：KDV-Burgers，非均匀分层介质，Soliton，Bi-Soliton，反射，折射。
We demonstrate the behavior of the soliton which, while moving in non-dissipative and dispersion-constant medium encounters a finite-width barrier with varying dissipation and/or dispersion; beyond the layer dispersion is constant (but not necessarily of the same value) and dissipation is null. The passed wave either retains the form of a soliton (though of different parameters) or becomes a bi-soliton. And a reflection wave may be negligible or absent. This models a situation similar to a light passing from a humid air to a dry one through the vapour saturation/condensation area. Some rough estimations for a prediction of an output are given using relative decay of the KdV conserved quantities are given. Keywords: KdV- Burgers, non-homogeneous layered media, soliton, bi-soliton, reflection, refraction.
