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Single shock and periodic sawtooth-shaped waves in media with non-analytic nonlinearitiesстатья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 16 января 2019 г.
- Авторы: Rudenko O.V., Hedberg C.M.
- Журнал: Mathematical modelling of natural phenomena
- Том: 13
- Номер: 2
- Год издания: 2018
- Издательство: EDP Sciences
- Местоположение издательства: France
- Первая страница: 1
- Последняя страница: 27
- DOI: 10.1051/mmnp/2018028
- Аннотация: The review of new mathematical models containing non-analytic nonlinearities is given. These equations have been proposed recently, over the past few years. The models describe strongly nonlinear waves of the first type, according to the classification introduced earlier by the authors. These models are interesting because of two reasons: (i) equations admit exact analytic solutions, and (ii) solutions describe the real physical phenomena. Among these models are modular and quadratically cubic equations of Hopf, Burgers, Korteveg-de Vries, Khokhlov-Zabolotskaya and Ostrovsky-Vakhnenko type. Media with non-analytic nonlinearities exist among composites, meta-materials, inhomogeneous and multiphase systems. Some physical phenomena manifested in the propagation of waves in such media are described on the qualitative level of severity.
- Добавил в систему: Руденко Олег Владимирович