61023

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

The KdV soliton crosses a dissipative and dispersive border

DOI: 

10.1016/j.difgeo.2021.101723

Наименование источника: 

  • Differential Geometry and its Applications

Обозначение и номер тома: 

75С

Город: 

  • Brno, Czech Republic

Издательство: 

  • Elsevier B.V.

Год издания: 

2021

Страницы: 

https://www.sciencedirect.com/science/article/abs/pii/S0926224521000073
Аннотация
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 transmitted wave either retains the form of a soliton (though of different parameters) or scatters a into a number of them. 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 vapor saturation/condensation area. Some rough estimations for a prediction of an output are given using the relative decay (or accumulation) of the KdV conserved quantities in a dissipative area; in particular for a restriction for a number of solitons in the transmitted signal.

Библиографическая ссылка: 

Самохин А.В. The KdV soliton crosses a dissipative and dispersive border // Differential Geometry and its Applications. 2021. 75С. С. https://www.sciencedirect.com/science/article/abs/pii/S0926224521000073.