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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 127, Number 3, Pages 488–496
DOI: https://doi.org/10.4213/tmf476 (Mi tmf476) 		 
This article is cited in 12 scientific papers (total in 12 papers)

The $r$-Matrix and an Algebraic-Geometric Solution of the AKNS System

Qiao Zhijunabc

a Los Alamos National Laboratory
b Fudan University
c Universität Kassel
Full-text PDF (242 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf476
Abstract: We construct an approach to finite-dimensional integrable systems with nonlinear evolution equations from the standpoint of the $r$-matrix and an algebraic-geometric solution, illustrating the method with the well-known AKNS equation. We present the $r$-matrix of the constrained AKNS flow and obtain the algebraic-geometric solution of the AKNS equation.
English version:
Theoretical and Mathematical Physics, 2001, Volume 127, Issue 3, Pages 827–834
DOI: https://doi.org/10.1023/A:1010412120845
Bibliographic databases:
Language: Russian
Citation: Qiao Zhijun, “The $r$-Matrix and an Algebraic-Geometric Solution of the AKNS System”, TMF, 127:3 (2001), 488–496; Theoret. and Math. Phys., 127:3 (2001), 827–834
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 127
\issue 3
\pages 827--834
\crossref{https://doi.org/10.1023/A:1010412120845}
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  • https://doi.org/10.4213/tmf476
  • https://www.mathnet.ru/eng/tmf/v127/i3/p488
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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