Travelling waves dynamics in a nonlinear parabolic equation with a shifted spatial argument

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2005
• ISSN: 1812-9471
• Main Author: Belan, E.P.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106562
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Travelling waves dynamics in a nonlinear parabolic equation with a shifted spatial argument / E.P. Belan // Журнал математической физики, анализа, геометрии. — 2005. — Т. 1, № 1. — С. 3-34. — Бібліогр.: 37 назв. — англ.

The local dynamics of a nonlinear parabolic equation on a circle with a shifted spatial argument and a small di usion is studied. It is proved that the travelling waves interaction satis es to 1:2 principle. The maximum principle for amplitudes with coe cient 2/3 is established. A number of stable t...