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періодичних видань НАН України
періодичних видань НАН України
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation
Репозиторій DSpace/Manakin
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Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation
Посилання:
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation / A. Eremenko // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 278-286. — Бібліогр.: 19 назв. — англ.
Підтримка:
The Author thanks Tuen Wai Ng and Robert Conte for bringing to his attention the connection between papers [4] and [19], and stimulating discussions.
Дата:
2006
Переглядів:
682
Завантажень:
476
Анотація:
We determine all cases when there exists a meromorphic solution of the ODE vw''' + bw'' + μw' + w²/2+ A = 0. This equation describes traveling waves solutions of the Kuramoto-Sivashinsky equation. It turns out that there are no other meromorphic solutions besides those explicit solutions found by Kuramoto and Kudryashov. The general method used in this paper, based on Nevanlinna theory, is applicable to nding all meromorphic solutions of a wide class of nonlinear ODE.
