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Sbornik: Mathematics, 1997, Volume 188, Issue 1, Pages 115–135
DOI: https://doi.org/10.1070/SM1997v188n01ABEH000190 (Mi sm190) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On a class of elliptic potentials of the Dirac operator

A. O. Smirnov

St. Petersburg State Academy of Aerospace Equipment Construction
English version PDF (269 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM1997v188n01ABEH000190
Abstract: We show that there exists a class of finite-gap potentials of the Dirac operator and finite-gap solutions of the 'decomposed' non-linear Schrödinger equation which are single-valued meromorphic functions of $x$. It is also shown that the evolution of the poles $x_j(t)$ of these elliptic solutions satisfies the dynamics of the Calogero–Moser system
Received: 31.10.1995
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 1, Pages 109–128
DOI: https://doi.org/10.4213/sm190
Bibliographic databases:
UDC: 517
MSC: Primary 35F25; Secondary 35J10, 35Q20
Language: English
Original paper language: Russian
Citation: A. O. Smirnov, “On a class of elliptic potentials of the Dirac operator”, Mat. Sb., 188:1 (1997), 109–128; Sb. Math., 188:1 (1997), 115–135
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:204
    English version PDF:22
    References:66
    First page:2
     
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