Stable Kink-Kink and Metastable Kink-Antikink Solutions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Halcrow, Chris, Babaev, Egor
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211909
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stable Kink-Kink and Metastable Kink-Antikink Solutions. Chris Halcrow and Egor Babaev. SIGMA 19 (2023), 034, 13 pages

We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavíon. The new models are 1D analogs of non-integrable systems in higher dimensions, such as the Skyrm...