-
1
-
-
0001356905
-
Sur la géométrie differentielle des groupes de Lie de dimenson infinie et ses applications à l’hydrodynamique des fluids parfaits
-
Arnold, V I. 1966. Sur la géométrie differentielle des groupes de Lie de dimenson infinie et ses applications à l’hydrodynamique des fluids parfaits. Ann. Inst. Fourier, Grenoble, 16:319–361.
-
(1966)
Ann. Inst. Fourier, Grenoble
, vol.16
, pp. 319-361
-
-
Arnold, V.I.1
-
2
-
-
0001052255
-
Groups of diffeomorphisms and the motion of an incompressible fluid
-
Ebin, D., and Marsden, J E. 1970. Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. Math., 92:102–163.
-
(1970)
Ann. Math.
, vol.92
, pp. 102-163
-
-
Ebin, D.1
Marsden, J.E.2
-
3
-
-
85024526711
-
-
Private Communications
-
Marsden J E, Private Communications
-
-
-
Marsden, J.E.1
-
4
-
-
35949035760
-
Generalized Hamiltonian Mechanics
-
Nambu, Y. 1973. Generalized Hamiltonian Mechanics. Phys. Rev. D, 7:2405
-
(1973)
Phys. Rev. D
, vol.7
, pp. 2405
-
-
Nambu, Y.1
-
5
-
-
35949044032
-
Remarks concerning Nambu’s generalized mechanics
-
Bayen, F, and Flato, M. 1975. Remarks concerning Nambu’s generalized mechanics. Phys. Rev. D, 11:3049
-
(1975)
Phys. Rev. D
, vol.11
, pp. 3049
-
-
Bayen, F.1
Flato, M.2
-
6
-
-
0001827628
-
On Nambu’s generalized Hamiltonian mechanics
-
Cohen, I, and Kálnay, A J. 1975. On Nambu’s generalized Hamiltonian mechanics. Internat. J. The-oret. Phys., 12:61–67.
-
(1975)
Internat. J. The-oret. Phys.
, vol.12
, pp. 61-67
-
-
Cohen, I.1
Kálnay, A.J.2
-
7
-
-
0000968194
-
Relations between Nambu and Hamiltonian mechanics
-
Mukunda, N, and Sudarshan, E C G. 1976. Relations between Nambu and Hamiltonian mechanics. Phys. Rev. D, 13:2846
-
(1976)
Phys. Rev. D
, vol.13
, pp. 2846
-
-
Mukunda, N.1
Sudarshan, E.C.G.2
-
8
-
-
21344477372
-
On Foundation of the Generalized Nambu Mechanics
-
Takhtajan, L. 1994. On Foundation of the Generalized Nambu Mechanics. Comm. Math. Phys., 160:295
-
(1994)
Comm. Math. Phys.
, vol.160
, pp. 295
-
-
Takhtajan, L.1
-
9
-
-
0001775978
-
On decomposability of Nambu-Poisson tensor
-
(N.S.)
-
Alekseevsky, D, and Guha, P. 1996. On decomposability of Nambu-Poisson tensor. Acta Math. Univ. Comenian., 65:1 (N.S.)
-
(1996)
Acta Math. Univ. Comenian.
, vol.65
, pp. 1
-
-
Alekseevsky, D.1
Guha, P.2
-
11
-
-
0041524481
-
The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures
-
Azcärraga, J A, Perelomov, A M, and Prez Bueno, J C. 1996. The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures. J. Phys. A, 29 (24):7993
-
(1996)
J. Phys. A
, vol.29
, Issue.24
, pp. 7993
-
-
Azcärraga, J.A.1
Perelomov, A.M.2
Prez Bueno, J.C.3
-
12
-
-
0033546037
-
Remarks on Nambu-Poisson and Nambu-Jacobi brackets
-
Grabowski, J, and Marmo, G. 1999. Remarks on Nambu-Poisson and Nambu-Jacobi brackets. J. Phys. A, 32 (23):4239
-
(1999)
J. Phys. A
, vol.32
, Issue.23
, pp. 4239
-
-
Grabowski, J.1
Marmo, G.2
-
13
-
-
0033632733
-
On Filippov algebroids and multiplicative Nambu-Poisson structures
-
Grabowski, J, and Marmo, G. 2000. On Filippov algebroids and multiplicative Nambu-Poisson structures. Differential Geom. Appl., 12 (1):35
-
(2000)
Differential Geom. Appl.
, vol.12
, Issue.1
, pp. 35
-
-
Grabowski, J.1
Marmo, G.2
-
14
-
-
0032041927
-
The local structure of n-Poisson and n-Jacobi manifolds
-
Marmo, G, Vilasi, G, and Vinogradov, A M. 1998. The local structure of n-Poisson and n-Jacobi manifolds. J. Geom. Phys., 25:141
-
(1998)
J. Geom. Phys.
, vol.25
, pp. 141
-
-
Marmo, G.1
Vilasi, G.2
Vinogradov, A.M.3
-
15
-
-
84861611932
-
A note on n-ary Poisson brackets, The Proceedings of the 19th Winter School “Geometry and Physics” (Srn, 1999)
-
Michor, P, and Vaisman, I. 2000. A note on n-ary Poisson brackets, The Proceedings of the 19th Winter School “Geometry and Physics” (Srn, 1999). Rend. Circ. Mat. Palermo (2) Suppl. No., 63:165
-
(2000)
Rend. Circ. Mat. Palermo (2) Suppl. No.
, vol.63
, pp. 165
-
-
Michor, P.1
Vaisman, I.2
-
16
-
-
0002139556
-
N-ary Lie and associative algebras. Geometrical structures for physical theories, II (Vietri, 1996)
-
Michor, P, and Vinogradov, A M. 1996. n-ary Lie and associative algebras. Geometrical structures for physical theories, II (Vietri, 1996). Rend. Sem. Mat. Univ. Politec. Torino, 54 (4):373
-
(1996)
Rend. Sem. Mat. Univ. Politec. Torino
, vol.54
, Issue.4
, pp. 373
-
-
Michor, P.1
Vinogradov, A.M.2
-
18
-
-
0005140847
-
Nambu-Lie groups
-
Vaisman, I. 2000. Nambu-Lie groups. J. Lie Theory, 10 (1):181
-
(2000)
J. Lie Theory
, vol.10
, Issue.1
, pp. 181
-
-
Vaisman, I.1
-
19
-
-
0035634280
-
Volume Preserving Multidimensional Integrable Systems and Nambu–Poisson Geometry
-
Guha, P. 2001. Volume Preserving Multidimensional Integrable Systems and Nambu–Poisson Geometry. J. Nonlinear Math. Phys., 8:325–341.
-
(2001)
J. Nonlinear Math. Phys.
, vol.8
, pp. 325-341
-
-
Guha, P.1
-
20
-
-
0037146869
-
Generalized Poisson Mechanics in D-Brane
-
Guha, P. 2002. Generalized Poisson Mechanics in D-Brane. Int. J. Mod. Phys. A., 17:4759–4775.
-
(2002)
Int. J. Mod. Phys. A.
, vol.17
, pp. 4759-4775
-
-
Guha, P.1
-
21
-
-
0000926912
-
Dynamical Symmetries and Nambu Mechanics
-
Chatterjee, R. 1996. Dynamical Symmetries and Nambu Mechanics. Lett. Math. Phys., 36:117
-
(1996)
Lett. Math. Phys.
, vol.36
, pp. 117
-
-
Chatterjee, R.1
-
22
-
-
0000319349
-
Superintegrable Calogero-type systems admit maximal number of Poisson structures
-
Gonera, C, and Nutku, Y. 2001. Superintegrable Calogero-type systems admit maximal number of Poisson structures. Phys. Lett. A, 285:301
-
(2001)
Phys. Lett. A
, vol.285
, pp. 301
-
-
Gonera, C.1
Nutku, Y.2
-
23
-
-
0011546968
-
Classical integrable finite-dimensional systems related to Lie algebras
-
Olshanetsky, M A, and Perelomov, A M. 1981. Classical integrable finite-dimensional systems related to Lie algebras. Phys. Rep., 71 (5):313–400.
-
(1981)
Phys. Rep.
, vol.71
, Issue.5
, pp. 313-400
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
24
-
-
0035981750
-
Applications of Nambu Mechanics to systems of hydrodynamical type
-
Guha, P. 2002. Applications of Nambu Mechanics to systems of hydrodynamical type. Jour. of Math. Phys., 43:4035–4040.
-
(2002)
Jour. of Math. Phys.
, vol.43
, pp. 4035-4040
-
-
Guha, P.1
-
25
-
-
0003369992
-
Hydrodynamics of soliton lattices
-
Yverdon: Harwood Academic Publishers GmbH
-
Dubrovin, B A, and Novikov, S P. 1993. “ Hydrodynamics of soliton lattices ”. In Soviet Scientific Reviews, Section C:Mathematical Physics Reviews, (9)Part 4., Yverdon:Harwood Academic Publishers GmbH.
-
(1993)
Soviet Scientific Reviews, Section C: Mathematical Physics Reviews, (9)Part 4.
-
-
Dubrovin, B.A.1
Novikov, S.P.2
-
26
-
-
23444445569
-
A Nambu representation of incompressible hydrodynamics using helicity and enstrophy
-
Névir, P, and Blender, R. 1993. A Nambu representation of incompressible hydrodynamics using helicity and enstrophy. J. Phys. A:Math. Gen., 26:L1189–L1193.
-
(1993)
J. Phys. A: Math. Gen.
, vol.26
, pp. L1189-L1193
-
-
Névir, P.1
Blender, R.2
-
27
-
-
0020176061
-
A nonlinear Hamiltonian structure for the Euler equations
-
Olver, P. 1982. A nonlinear Hamiltonian structure for the Euler equations. J. Math. Anal. Appl., 89 (1):233–250.
-
(1982)
J. Math. Anal. Appl.
, vol.89
, Issue.1
, pp. 233-250
-
-
Olver, P.1
-
28
-
-
0000182716
-
Lax pair formulation for the Euler equation
-
Friedlander, S, and Vishik, M M. 1990. Lax pair formulation for the Euler equation. Phys. Lett. A, 148 (6-7):313
-
(1990)
Phys. Lett. A
, vol.148
, Issue.6-7
, pp. 313
-
-
Friedlander, S.1
Vishik, M.M.2
-
29
-
-
0007368936
-
An inverse scattering treatment for the flow of an ideal fluid in two dimensions
-
Friedlander, S, and Vishik, M M. 1993. An inverse scattering treatment for the flow of an ideal fluid in two dimensions. Nonlinearity, 6 (2):231
-
(1993)
Nonlinearity
, vol.6
, Issue.2
, pp. 231
-
-
Friedlander, S.1
Vishik, M.M.2
-
30
-
-
0034342441
-
A Lax Pair for 2D Euler Equation
-
Li, Y -C. 2000. A Lax Pair for 2D Euler Equation. J. Math. Phys., 41:728–758.
-
(2000)
J. Math. Phys.
, vol.41
, pp. 728-758
-
-
Li, Y.C.1
-
31
-
-
0036609953
-
A quaternionic structure in the three-dimensional Euler and ideal magnetohydrodynamics equations
-
Gibbon, J D. 2002. A quaternionic structure in the three-dimensional Euler and ideal magnetohydrodynamics equations. Phys. D, 166 (1-2):17–28.
-
(2002)
Phys. D
, vol.166
, Issue.1-2
, pp. 17-28
-
-
Gibbon, J.D.1
|