The Finite Discrete KP Hierarchy and the Rational Functions
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-06-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The set of all rational functions with any fixed denominator that simultaneously nullify in the infinite point is parametrized by means of a well-known integrable system: a finite dimensional version of the discrete KP hierarchy.
This type of study was originated in Y.
Nakamura's works who used others integrable systems.
Our work proves that the finite discrete KP hierarchy completely parametrizes the space RatΛ(n) of rational functions of the form f(x)=q(x)/zn, where q(x) is a polynomial of order n−1 with nonzero independent coefficent.
More exactly, it is proved that there exists a bijection from RatΛ(n) to the moduli space of solutions of the finite discrete KP hierarchy and a compatible linear system.
American Psychological Association (APA)
Felipe, Raúl& López, Nancy. 2008. The Finite Discrete KP Hierarchy and the Rational Functions. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-987835
Modern Language Association (MLA)
Felipe, Raúl& López, Nancy. The Finite Discrete KP Hierarchy and the Rational Functions. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-11.
https://search.emarefa.net/detail/BIM-987835
American Medical Association (AMA)
Felipe, Raúl& López, Nancy. The Finite Discrete KP Hierarchy and the Rational Functions. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-987835
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987835