Space Curves and Solitons of the KP Hierarchy. I. The 𝑙-th Generalized KdV Hierarchy

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Kodama, Yuji, Xie, Yuancheng
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211164
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Space Curves and Solitons of the KP Hierarchy. I. The 𝑙-th Generalized KdV Hierarchy. Yuji Kodama and Yuancheng Xie. SIGMA 17 (2021), 024, 43 pages

It is well known that algebro-geometric solutions of the KdV hierarchy are constructed from the Riemann theta functions associated with hyperelliptic curves, and that soliton solutions can be obtained by rational (singular) limits of the corresponding curves. In this paper, we discuss a class of KP...