A Finite Genus Solution of the Veselov's Discrete Neumann System

The Veselov's discrete Neumann system is derived through nonlinearization of a discrete spectral problem. Based on the commutative relation between the Lax matrix and the Darboux matrix with Unite genus potentials, a special solution is calculated with the help of the Baker-Akhiezer-Kriechever...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 58; no. 4; pp. 469 - 474
Main Authors Cao, Ce-Wen, Xu, Xiao-Xue
Format Journal Article
LanguageEnglish
Published 01.10.2012
Subjects
Mathematical analysis
Spectra
Theoretical physics
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Summary:The Veselov's discrete Neumann system is derived through nonlinearization of a discrete spectral problem. Based on the commutative relation between the Lax matrix and the Darboux matrix with Unite genus potentials, a special solution is calculated with the help of the Baker-Akhiezer-Kriechever function.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0253-6102
DOI:10.1088/0253-6102/58/4/02