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

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Authors: Kodama, Yuji, Xie, Yuancheng
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211164
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine