Geodesic
The $r$-Matrix and an Algebraic-Geometric Solution of the AKNS System
Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 488-496

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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. 
@article{TMF_2001_127_3_a14,
     author = {Qiao Zhijun},
     title = {The $r${-Matrix} and an {Algebraic-Geometric} {Solution} of the {AKNS} {System}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {488--496},
     publisher = {mathdoc},
     volume = {127},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_127_3_a14/}
}
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Qiao Zhijun. The $r$-Matrix and an Algebraic-Geometric Solution of the AKNS System. Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 488-496. http://geodesic.mathdoc.fr/item/TMF_2001_127_3_a14/