Moduli Space for Kink Collisions with Moving Center of Mass

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Adam, Christoph, Halcrow, Chris, Oles, Katarzyna, Romanczukiewicz, Tomasz, Wereszczynski, Andrzej
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211975
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Moduli Space for Kink Collisions with Moving Center of Mass. Christoph Adam, Chris Halcrow, Katarzyna Oles, Tomasz Romanczukiewicz and Andrzej Wereszczynski. SIGMA 19 (2023), 054, 18 pages

We apply the collective coordinate model framework to describe collisions of a kink and an antikink with nonzero total momentum, i.e., when the solitons possess different velocities. The minimal moduli space with only two coordinates (the mutual distance and the position of the center of mass) is of...