Mal’kov, K. V. A nonselfadjoint \(L\)-\(A\) representation for certain nonlinear nonlocal problems. (English. Russian original) Zbl 0757.35078 Sov. Math., Dokl. 42, No. 2, 333-339 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 1, 94-100 (1990). Reviewer: I.Barashenkov (Rondebosch) MSC: 35Q58 37J35 37K10 81Q20 47F05 58J50 47N20 PDFBibTeX XMLCite \textit{K. V. Mal'kov}, Sov. Math., Dokl. 42, No. 2, 333--339 (1990; Zbl 0757.35078); translation from Dokl. Akad. Nauk SSSR 314, No. 1, 94--100 (1990)
Kozlov, V. V. On polynomial integrals of a system of interacting particles. (English. Russian original) Zbl 0665.70013 Sov. Math., Dokl. 38, No. 1, 143-146 (1989); translation from Dokl. Akad. Nauk SSSR 301, No. 4, 785-788 (1988). MSC: 70F07 37J35 37K10 70H05 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Sov. Math., Dokl. 38, No. 1, 143--146 (1989; Zbl 0665.70013); translation from Dokl. Akad. Nauk SSSR 301, No. 4, 785--788 (1988)
Dorfman, I. Ya. The Krichever-Novikov equation and local symplectic structures. (English. Russian original) Zbl 0681.58015 Sov. Math., Dokl. 38, No. 2, 340-343 (1989); translation from Dokl. Akad. Nauk SSSR 302, No. 4, 792-795 (1988). Reviewer: M.Puta MSC: 37J99 35Q99 37J35 37K10 PDFBibTeX XMLCite \textit{I. Ya. Dorfman}, Sov. Math., Dokl. 38, No. 2, 340--343 (1988; Zbl 0681.58015); translation from Dokl. Akad. Nauk SSSR 302, No. 4, 792--795 (1988)
Fomenko, A. T.; Zieschang, H. On the topology of the three-dimensional manifolds arising in Hamiltonian mechanics. (English. Russian original) Zbl 0734.57014 Sov. Math., Dokl. 35, No. 3, 529-534 (1987); translation from Dokl. Akad. Nauk SSSR 294, No. 2, 283-287 (1987). MSC: 57N10 37J99 37J35 37K10 70G10 PDFBibTeX XMLCite \textit{A. T. Fomenko} and \textit{H. Zieschang}, Sov. Math., Dokl. 35, No. 3, 529--534 (1987; Zbl 0734.57014); translation from Dokl. Akad. Nauk SSSR 294, No. 2, 283--287 (1987)
Sokolov, V. V. On the structure of the algebra of symmetries for a one-field evolution equation. (English. Russian original) Zbl 0668.58018 Sov. Math., Dokl. 35, No. 3, 635-638 (1987); translation from Dokl. Akad. Nauk SSSR 294, No. 5, 1065-1069 (1987). Reviewer: K.Sibirskij MSC: 37J35 37K10 58J70 35Q99 17B99 37C80 PDFBibTeX XMLCite \textit{V. V. Sokolov}, Sov. Math., Dokl. 35, No. 3, 635--638 (1987; Zbl 0668.58018); translation from Dokl. Akad. Nauk SSSR 294, No. 5, 1065--1069 (1987)
Bobenko, A. I. Schottky uniformization and finite-gap integration. (English. Russian original) Zbl 0659.35086 Sov. Math., Dokl. 36, No. 1, 38-42 (1987); translation from Dokl. Akad. Nauk SSSR 295, 268-272 (1987). Reviewer: G.-Z.Tu MSC: 35Q99 30F30 37J35 37K10 30F10 PDFBibTeX XMLCite \textit{A. I. Bobenko}, Sov. Math., Dokl. 36, No. 1, 38--42 (1987; Zbl 0659.35086); translation from Dokl. Akad. Nauk SSSR 295, 268--272 (1987)
Mitropol’skij, Yu. A.; Prikarpatskij, A. K.; Samojlenko, V. Gr. An asymptotic method of constructing implectic and recursion operators of completely integrable dynamical systems. (English. Russian original) Zbl 0614.58024 Sov. Math., Dokl. 33, 542-546 (1986); translation from Dokl. Akad. Nauk SSSR 287, 1312-1317 (1986). Reviewer: E.D.Belokolos MSC: 37J35 37K10 35Q99 47J25 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skij} et al., Sov. Math., Dokl. 33, 542--546 (1986; Zbl 0614.58024); translation from Dokl. Akad. Nauk SSSR 287, 1312--1317 (1986)
Belyaev, A. V. On the motion of an \(n\)-dimensional rigid body with symmetry group \(So(k)\otimes So(n-k)\) in a field with a linear potential. Invariants of the coadjoint representation of some Lie algebras. (English. Russian original) Zbl 0606.58027 Sov. Math., Dokl. 31, 535-539 (1985); translation from Dokl. Akad. Nauk SSSR 282, 1038-1042 (1985). Reviewer: D.J.Simms MSC: 37J35 37K10 37J99 70E15 17B99 PDFBibTeX XMLCite \textit{A. V. Belyaev}, Sov. Math., Dokl. 31, 535--539 (1985; Zbl 0606.58027); translation from Dokl. Akad. Nauk SSSR 282, 1038--1042 (1985)
Balinskii, A. A.; Novikov, S. P. Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras. (English. Russian original) Zbl 0606.58018 Sov. Math., Dokl. 32, 228-231 (1985); translation from Dokl. Akad. Nauk SSSR 283, 1036-1039 (1985). Reviewer: D.J.Simms MSC: 37K10 37K30 17A30 17B63 76A02 58D25 PDFBibTeX XMLCite \textit{A. A. Balinskii} and \textit{S. P. Novikov}, Sov. Math., Dokl. 32, 228--231 (1985; Zbl 0606.58018); translation from Dokl. Akad. Nauk SSSR 283, 1036--1039 (1985)
Mikityuk, I. V. On the integrability of invariant Hamiltonian systems with homogeneous configuration spaces. (English. Russian original) Zbl 0595.58024 Sov. Math., Dokl. 32, 272-276 (1985); translation from Dokl. Akad. Nauk SSSR 283, 1077-1080 (1985). Reviewer: B.G.Pachpatte MSC: 37J35 37K10 37J99 17B20 PDFBibTeX XMLCite \textit{I. V. Mikityuk}, Sov. Math., Dokl. 32, 272--276 (1985; Zbl 0595.58024); translation from Dokl. Akad. Nauk SSSR 283, 1077--1080 (1985)
Ènol’skiĭ, V. Z. On solutions in elliptic functions of integrable nonlinear equations associated with two-zone Lamé potentials. (English. Russian original) Zbl 0598.35105 Sov. Math., Dokl. 30, 394-397 (1984); translation from Dokl. Akad. Nauk SSSR 278, 305-308 (1984). Reviewer: S. D. Bajpai (Indore) MSC: 35Q20 37J35 33E05 35Q55 PDFBibTeX XMLCite \textit{V. Z. Ènol'skiĭ}, Sov. Math., Dokl. 30, 394--397 (1984; Zbl 0598.35105); translation from Dokl. Akad. Nauk SSSR 278, 305--308 (1984)
Kharlamov, M. P. Topological analysis of classical integrable systems in the dynamics of the rigid body. (English. Russian original) Zbl 0561.58021 Sov. Math., Dokl. 28, 802-805 (1983); translation from Dokl. Akad. Nauk SSSR 273, 1322-1325 (1983). Reviewer: A.Vanderbauwhede MSC: 37J99 37G99 70E15 37J35 37K10 PDFBibTeX XMLCite \textit{M. P. Kharlamov}, Sov. Math., Dokl. 28, 802--805 (1983; Zbl 0561.58021); translation from Dokl. Akad. Nauk SSSR 273, 1322--1325 (1983) Full Text: arXiv
Bogoyavlenskij, O. I. Integrals of the fourth degree for Euler’s equations on six-dimensional Lie algebras. (English. Russian original) Zbl 0557.58015 Sov. Math., Dokl. 28, 545-549 (1983); translation from Dokl. Akad. Nauk SSSR 273, 15-18 (1983). Reviewer: V.Z.Enol’skij MSC: 37J35 37K10 70E15 58E30 PDFBibTeX XMLCite \textit{O. I. Bogoyavlenskij}, Sov. Math., Dokl. 28, 545--549 (1983; Zbl 0557.58015); translation from Dokl. Akad. Nauk SSSR 273, 15--18 (1983)
Brailov, A. V. Some cases of complete integrability of the Euler equations, and applications. (English. Russian original) Zbl 0544.58011 Sov. Math., Dokl. 27, 209-212 (1983); translation from Dokl. Akad. Nauk SSSR 268, 1043-1046 (1983). Reviewer: H.Knörrer MSC: 37J35 37K10 37J99 37G99 PDFBibTeX XMLCite \textit{A. V. Brailov}, Sov. Math., Dokl. 27, 209--212 (1983; Zbl 0544.58011); translation from Dokl. Akad. Nauk SSSR 268, 1043--1046 (1983)
Brajlov, A. V. Complete integrability of some geodesic flows and integrable systems with noncommuting integrals. (English. Russian original) Zbl 0539.58015 Sov. Math., Dokl. 28, 61-65 (1983); translation from Dokl. Akad. Nauk SSSR 271, 273-276 (1983). Reviewer: T.Ratiu MSC: 37J35 37K10 37D40 53D25 PDFBibTeX XMLCite \textit{A. V. Brajlov}, Sov. Math., Dokl. 28, 61--65 (1983; Zbl 0539.58015); translation from Dokl. Akad. Nauk SSSR 271, 273--276 (1983)
Bogoyavlenskij, O. I. Integrable Euler equations on six-dimensional Lie algebras. (English. Russian original) Zbl 0539.58014 Sov. Math., Dokl. 27, 1-5 (1983); translation from Dokl. Akad. Nauk SSSR 268, 11-15 (1983). Reviewer: P.Dazord MSC: 37J35 37K10 17B45 70E15 PDFBibTeX XMLCite \textit{O. I. Bogoyavlenskij}, Sov. Math., Dokl. 27, 1--5 (1983; Zbl 0539.58014); translation from Dokl. Akad. Nauk SSSR 268, 11--15 (1983)
Veselov, A. P. On integrability conditions for the Euler equations on SO(4). (English. Russian original) Zbl 0539.58013 Sov. Math., Dokl. 27, 740-742 (1983); translation from Dokl. Akad. Nauk SSSR 270, 1298-1300 (1983). Reviewer: A.Knörrer MSC: 37J35 37K10 70E15 17B45 37C85 PDFBibTeX XMLCite \textit{A. P. Veselov}, Sov. Math., Dokl. 27, 740--742 (1983; Zbl 0539.58013); translation from Dokl. Akad. Nauk SSSR 270, 1298--1300 (1983)
Kozlov, V. V.; Onishchenko, D. A. Nonintegrability of Kirchhoff’s equations. (English. Russian original) Zbl 0541.70009 Sov. Math., Dokl. 26, 495-498 (1982); translation from Dokl. Akad. Nauk SSSR 266, 1298-1300 (1982). MSC: 70E15 70H05 74F10 37J35 37K10 PDFBibTeX XMLCite \textit{V. V. Kozlov} and \textit{D. A. Onishchenko}, Sov. Math., Dokl. 26, 495--498 (1982; Zbl 0541.70009); translation from Dokl. Akad. Nauk SSSR 266, 1298--1300 (1982)
Mikityuk, I. V. Homogeneous spaces with integrable G-invariant Hamiltonian flows. (English. Russian original) Zbl 0511.58023 Sov. Math., Dokl. 26, 216-220 (1982); translation from Dokl. Akad. Nauk SSSR 265, 1074-1078 (1982). MSC: 37J35 37K10 53C30 17B20 37J99 PDFBibTeX XMLCite \textit{I. V. Mikityuk}, Sov. Math., Dokl. 26, 216--220 (1982; Zbl 0511.58023); translation from Dokl. Akad. Nauk SSSR 265, 1074--1078 (1982)
Trofimov, V. V. Completely integrable geodesic flows of left-invariant metrics on Lie groups which are connected with commutative graded algebras with Poincaré duality. (English. Russian original) Zbl 0509.58025 Sov. Math., Dokl. 25, 449-453 (1982); translation from Dokl. Akad. Nauk SSSR 263, 812-816 (1982). MSC: 37J35 37K10 17B45 PDFBibTeX XMLCite \textit{V. V. Trofimov}, Sov. Math., Dokl. 25, 449--453 (1982; Zbl 0509.58025); translation from Dokl. Akad. Nauk SSSR 263, 812--816 (1982)
Trofimov, V. V.; Fomenko, A. T. A method for constructing Hamiltonian flows on symmetric spaces and the integrability of some hydrodynamical systems. (English. Russian original) Zbl 0484.58017 Sov. Math., Dokl. 22, 617-621 (1980); translation from Dokl. Akad. Nauk SSSR 254, 1344-1353 (1980). MSC: 37J35 37K10 53C35 70E99 37J99 76B99 PDFBibTeX XMLCite \textit{V. V. Trofimov} and \textit{A. T. Fomenko}, Sov. Math., Dokl. 22, 617--621 (1980; Zbl 0484.58017); translation from Dokl. Akad. Nauk SSSR 254, 1344--1353 (1980)
Reyman, A. G.; Semenov-Tian-Shansky, Michael A.; Frenkel, I. E. Graded Lie algebras and completely integrable dynamical systems. (English. Russian original) Zbl 0437.58008 Sov. Math., Dokl. 20, 811-814 (1979); translation from Dokl. Akad. Nauk SSSR 247, 802-805 (1979). MSC: 37J99 35Q99 17B70 70F20 37J35 37K10 PDFBibTeX XMLCite \textit{A. G. Reyman} et al., Sov. Math., Dokl. 20, 811--814 (1979; Zbl 0437.58008); translation from Dokl. Akad. Nauk SSSR 247, 802--805 (1979)