46512

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Nonlinear waves in layered media: Solutions of the KdV–Burgers equation

ISBN/ISSN: 

0393-0440

DOI: 

10.1016/j.geomphys.2018.03.016

Наименование источника: 

  • Journal of Geometry and Physics

Обозначение и номер тома: 

vol.130

Город: 

  • Amsterdam, the Netherlands

Издательство: 

  • Elsevier

Год издания: 

2018

Страницы: 

33-39
Аннотация
We use the KdV–Burgers equation to model a behaviour of a soliton which, while moving in non-dissipative medium encounters a barrier with dissipation. The modelling included the case of a finite width dissipative layer as well as a wave passing from a non-dissipative layer into a dissipative one. The dissipation results in reducing the soliton amplitude/velocity, and a reflection and refraction occur at the boundary(s) of a dissipative layer. In the case of a finite width barrier on the soliton path, after the wave leaves the dissipative barrier it retains a soliton form and a reflection wave arises as small and quasi-harmonic oscillations (a breather). The first order approximation in the expansion by the small dissipation parameter is studied.

Библиографическая ссылка: 

Самохин А.В. Nonlinear waves in layered media: Solutions of the KdV–Burgers equation // Journal of Geometry and Physics. 2018. vol.130. С. 33-39.