|
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
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.
Поступила в редакцию: 07.07.2014 Принята в печать: 29.08.2014
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd183 https://www.mathnet.ru/rus/rcd/v19/i5/p576
|
Статистика просмотров: |
Страница аннотации: | 230 | Список литературы: | 65 |
|