Geodesic
A class of integrable evolutionary vector equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 13-20
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We present the results of classifying integrable evolutionary $N$-component vector equations and construct Bäcklund transformations for each equation as proof of the exact integrability.
Keywords: vector evolutionary equations, Bäcklund transformations. 
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M. Yu. Balakhnev. A class of integrable evolutionary vector equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 13-20. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a2/

[1] S. I. Svinolupov, V. V. Sokolov, TMF, 100:2 (1994), 214–218 | MR | Zbl

[2] I. Z. Golubchik, V. V. Sokolov, TMF, 124:1 (2000), 62–71 | DOI | MR | Zbl

[3] V. V. Sokolov, T. Wolf, J. Phys. A, 34 (2001), 11139–11148 | DOI | MR | Zbl

[4] A. G. Meshkov, V. V. Sokolov, Commun. Math. Phys., 232:2 (2002), 1–18 | DOI | MR | Zbl

[5] A. G. Meshkov, V. V. Sokolov, TMF, 139:2 (2004), 192–208 | DOI | MR | Zbl

[6] A. G. Meshkov, Software and help files for Maple, http://www.orel.ru/meshkov