Talbot Effect for the Manakov System on the Torus

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Yin, Zihan, Kang, Jing, Liu, Xiaochuan, Qu, Changzheng
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212251
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Talbot Effect for the Manakov System on the Torus. Zihan Yin, Jing Kang, Xiaochuan Liu and Changzheng Qu. SIGMA 20 (2024), 056, 26 pages

In this paper, the Talbot effect for the multi-component linear and nonlinear systems of the dispersive evolution equations on a bounded interval subject to periodic boundary conditions and discontinuous initial profiles is investigated. Firstly, for a class of two-component linear systems satisfyin...