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Superposition formulas for integrable vector evolution equations. (English. Russian original) Zbl 1158.37309
Theor. Math. Phys. 154, No. 2, 220-226 (2008); translation from Teor. Mat. Fiz. 154, No. 2, 261-267 (2008).
Superposition formulae for solutions of certain integrable vector evolution equations are presented.

MSC:
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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[1] A. G. Meshkov and V. V. Sokolov, Comm. Math. Phys., 232, 1–18 (2002). · Zbl 1012.37049
[2] A. G. Meshkov and V. V. Sokolov, Theor. Math. Phys., 139, 609–622 (2004). · Zbl 1178.37083
[3] M. Yu. Balakhnev, Theor. Math. Phys., 142, 8–14 (2005). · Zbl 1178.37068
[4] A. G. Meshkov and M. Ju. Balakhnev, SIGMA, 1, 027 (2005); arXiv:nlin/0512032v1 [nlin.SI] (2005).
[5] M. Yu. Balakhnev, Math. Notes, 82, 448–450 (2007). · Zbl 1156.35456
[6] L. Bianchi, Lezioni di Geometria Differenziale: Seconda edizione, riveduta e cosiderevolmente aumentata, in due volumi, Vol. 2, Enrico Spoerri, Pisa (1903), p. 418. · JFM 34.0670.01
[7] I. Z. Golubchik and V. V. Sokolov, Theor. Math. Phys., 124, 909–917 (2000). · Zbl 1112.37324
[8] E. K. Sklyanin, ”On complete integrability of the Landau-Lifshitz equation,” Preprint E-3-79, LOMI, Leningrad (1979). · Zbl 0449.35089
[9] M. Ju. Balakhnev, Appl. Math. Lett., 18, 1363–1372 (2005). · Zbl 1125.35410
[10] S. I. Svinolupov and V. V. Sokolov, Theor. Math. Phys., 100, 959–962 (1994). · Zbl 0875.35121
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