60435

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

The KdV soliton crosses a dissipative and dispersive border

Электронная публикация: 

Да

Наименование источника: 

  • ArXiv.org

Обозначение и номер тома: 

arXiv:2002.00432 [nlin.SI]

Город: 

  • Cornell, UK

Издательство: 

  • Cornell University

Год издания: 

2020

Страницы: 

https://arxiv.org/abs/2002.00432
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 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

Библиографическая ссылка: 

Самохин А.В. The KdV soliton crosses a dissipative and dispersive border / ArXiv.org. Cornell, UK: Cornell University, 2020. arXiv:2002.00432 [nlin.SI]. С. https://arxiv.org/abs/2002.00432.