Geodesic
On a method for constructing algebro-geometric solutions to the zero curvature equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 1, pp. 61-72 
D. P. Novikov; R. K. Romanovskii. On a method for constructing algebro-geometric solutions to the zero curvature equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 1, pp. 61-72. http://geodesic.mathdoc.fr/item/TMF_1997_110_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Under special conditions that hold for a number of applications, we suggest a construction that reduces the calculation of algebro-geometric solutions of the zero curvature equation for $2\times2$ matrices to solving the Jacobi inversion problem on a hyperelliptic Riemann surface and the Riccati equation. An application to the system of equations of the principal chiral field is considered.

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