Bifurcations of Solitary Waves

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2008
• Main Authors: Kuznetsov, E.A., Agafontsev, D.S., Dias, F.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106521
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bifurcations of Solitary Waves / E.A. Kuznetsov, D.S. Agafontsev, F. Dias // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 529-550. — Бібліогр.: 42 назв. — англ.

The paper provides a brief review of the recent results devoted to bifurcations of solitary waves. The main attention is paid to the universality of soliton behavior and stability of solitons while approaching supercritical bifurcations. Near the transition point from supercritical to subcritical bi...