Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, “Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles”, Regul. Chaotic Dyn., 19:5 (2014), 576

Regular and Chaotic Dynamics

RUS ENG

ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	Общая информация
	Последний выпуск
	Архив
	Импакт-фактор

	Поиск публикаций
	Поиск ссылок

	RSS
	Последний выпуск
	Текущие выпуски
	Архивные выпуски
	Что такое RSS

Regul. Chaotic Dyn.:
Год:
Том:
Выпуск:
Страница:
	Найти

Персональный вход:
Логин:
Пароль:
	Запомнить пароль
	Войти
	Забыли пароль?
	Регистрация

Regular and Chaotic Dynamics, 2014, том 19, выпуск 5, страницы 576–585
DOI: https://doi.org/10.1134/S1560354714050050 (Mi rcd183)

Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)

Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles

Nikolay A. Kudryashov, Dmitry I. Sinelshchikov

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe Shosse 31, 115409 Moscow, Russia

Список цитирования (11)

Список литературы:

PDF

HTML

DOI: https://doi.org/10.1134/S1560354714050050

Аннотация: A fifth-order nonlinear partial differential equation for the description of nonlinear waves in a liquid with gas bubbles is considered. Special solutions of this equation are studied. Some elliptic and simple periodic traveling wave solutions are constructed. Connection of selfsimilar solutions with Painlevé transcendents and their high-order analogs is discussed.

Ключевые слова: waves in a liquid with gas bubbles, evolution equations, exact solutions, meromorphic solutions, fifth-order KdV equation, Kaup–Kupershmidt equation.

Финансовая поддержка	Номер гранта
Russian Science Foundation	14-11-00258
This research was supported by the Russian Science Foundation, project No. 14-11-00258.

Поступила в редакцию: 07.07.2014
Принята в печать: 29.08.2014

Реферативные базы данных:

Тип публикации: Статья

MSC: 35Q35, 35Q53, 34M05

Язык публикации: английский

Образец цитирования: Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, “Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles”, Regul. Chaotic Dyn., 19:5 (2014), 576–585

Цитирование в формате AMSBIB

\RBibitem{KudSin14}

\by Nikolay~A.~Kudryashov, Dmitry~I.~Sinelshchikov

\paper Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles

\jour Regul. Chaotic Dyn.

\yr 2014

\vol 19

\issue 5

\pages 576--585

\mathnet{http://mi.mathnet.ru/rcd183}

\crossref{https://doi.org/10.1134/S1560354714050050}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3266828}

\zmath{https://zbmath.org/?q=an:1307.35229}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000343081300005}

Образцы ссылок на эту страницу:

https://www.mathnet.ru/rus/rcd183

https://www.mathnet.ru/rus/rcd/v19/i5/p576

Эта публикация цитируется в следующих 11 статьяx:

Giuseppe Maria Coclite, Lorenzo di Ruvo, “On the Solutions for a Fifth Order Kudryashov–Sinelshchikov Type Equation”, Symmetry, 14:8 (2022), 1535
Nikolay K. Vitanov, EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021), 2459, EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021), 2022, 020003
V. V. Kuzenov, S. V. Ryzhkov, A. V. Starostin, “Development of a Mathematical Model and the Numerical Solution Method in a Combined Impact Scheme for MIF Target”, Rus. J. Nonlin. Dyn., 16:2 (2020), 325–341
Yu. B. Chukkol, M. N. Mohamad, M. I. Muminov, “Exact solutions to the KdV-Burgers equation with forcing term using Tanh-Coth method”, Proceedings of the 24Th National Symposium on Mathematical Sciences (SKSM 24): Mathematical Sciences Exploration For the Universal Preservation, AIP Conf. Proc., 1870, eds. Z. Salleh, R. Hasni, G. Rudrusamy, M. Lola, H. Salleh, H. Rahim, M. AbdJalil, Amer. Inst. Phys., 2017, UNSP 040024-1
I. Yu. Gaiur, N. A. Kudryashov, “Asymptotic solutions of a fourth-order analogue for the Painlevé equations”, V International Conference on Problems of Mathematical and Theoretical Physics and Mathematical Modelling, Journal of Physics Conference Series, 788, IOP Publishing Ltd, 2017, UNSP 012011
I. Yu. Gaiur, N. A. Kudryashov, “Isomonodromic problem for $K_2^2$ analogue of the Painlevé equations”, V International Conference on Problems of Mathematical and Theoretical Physics and Mathematical Modelling, Journal of Physics Conference Series, 788, IOP Publishing Ltd, 2017, UNSP 012012
N. A. Kudryashov, “On solutions of generalized modified Korteweg-de Vries equation of the fifth order with dissipation”, Appl. Math. Comput., 280 (2016), 39–45
Nikolay A. Kudryashov, “Analytical Solutions of the Lorenz System”, Regul. Chaotic Dyn., 20:2 (2015), 123–133
N. A. Kudryashov, “On wave structures described by the generalized Kuramoto-Sivashinsky equation”, Appl. Math. Lett., 49 (2015), 84–90
N. K. Vitanov, Z. I. Dimitrova, K. N. Vitanov, “Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications”, Appl. Math. Comput., 269 (2015), 363–378
N. A. Kudryashov, D. I. Sinelshchikov, “Periodic structures described by the perturbed Burgers-Korteweg-de Vries equation”, Int. J. Non-Linear Mech., 72 (2015), 16–22

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Статистика просмотров:
Страница аннотации:	270
Список литературы:	82

Что такое QR-код?

Обратная связь:
math-net2025_04@mi-ras.ru

Пользовательское соглашение

Регистрация посетителей портала

Логотипы