Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Charkina, O.V., Bogdan, M.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146178
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems / O.V. Charkina, M.M. Bogdan // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 28 назв. — англ.

The transition from integrable to non-integrable highly-dispersive nonlinear models is investigated. The sine-Gordon and φ⁴-equations with the additional fourth-order spatial and spatio-temporal derivatives, describing the higher dispersion, and with the terms originated from nonlinear interactions...