A modified KdV model of waves with evaporation from the phase surface

In this paper we consider the impact of evaporation on formation of a gravitational wave in a potential approximation and study the condition of its existence in the form of a soliton. We study a nonlinear modified KdV equation, which takes into account the impact of a molecular mechanism (evaporation) at the dividing boundary "wave front - environment" on wave propagation. A nonlinear analysis is given. It is shown that, in general, modification of the KdV equation by introducing an additional stochastic term determined by a certain physical or physico-chemical process gives rise to solutions that are not Jacobi functions. © 2016 Begell House, Inc.

Авторы
Uvarova L.A.1 , Galakhov E.I. 2 , Salieva O.A. 1
Издательство
Begell House Inc.
Номер выпуска
5-6
Язык
Английский
Страницы
377-389
Статус
Опубликовано
Том
43
Год
2016
Организации
  • 1 Department of Applied Mathematics, Moscow State of Technology STANKIN, Vadkovskii lane 3a, Moscow, 127055, Russian Federation
  • 2 Department of Mathematics, Peoples' Friendship University, Moscow, Russian Federation
Ключевые слова
Chemical modification; Computational mechanics; Gravity waves; Korteweg-de Vries equation; Nonlinear analysis; Nonlinear equations; Stochastic systems; Wave propagation; Wavefronts; KdV equations; Molecular mechanism; Phase surface; Physicochemical process; Evaporation
Дата создания
19.10.2018
Дата изменения
03.03.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4144/
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