55068

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Soliton transmutations in KdV-Burgers layered media

Электронная публикация: 

Да

Наименование источника: 

  • arXiv:1907.10489 [nlin.PS]

Город: 

  • Cornell

Издательство: 

  • Cornell university library

Год издания: 

2019

Страницы: 

https://arxiv.org/abs/1907.10489
Аннотация
We study the behavior of the soliton which, while moving in non-dissipative medium encounters a barrier with dis- sipation. The modelling included the case of a nite dissipative layer as well as a wave passing from a dissipative layer into a non- dissipative one and vice versa. New e ects are presented in the case of numerically nite barrier on the soliton path: rst, if the form of dissipation distribution has a form of a frozen soliton, the wave that leaves the dissipative barrier becomes a bi-soliton and a re ection wave arises as a comparatively small and quasi-harmonic oscillation. Second, if the dissipation is negative (the wave, instead of loosing energy, is pumped with it) the passed wave is a soliton of a greater amplitude and velocity. Third, when the travelling wave solution of the KdV-Burgers (it is a shock wave in a dissipative region) enters a non-dissipative layer this shock transforms into a quasi-harmonic oscillation known for the KdV.

Библиографическая ссылка: 

Самохин А.В. Soliton transmutations in KdV-Burgers layered media // arXiv:1907.10489 [nlin.PS]. 2019. С. https://arxiv.org/abs/1907.10489 .