-
1
-
-
0035641135
-
The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDEs of shallow water and Dym type
-
M.S. Alber R. Camassa Yu.N. Fedorov D.D. Holm J.E. Marsden The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDEs of shallow water and Dym type Commun. Math. Phys. 221 2001 197-227
-
(2001)
Commun. Math. Phys.
, vol.221
, pp. 197-227
-
-
Alber, M.S.1
Camassa, R.2
Fedorov, Yu.N.3
Holm, D.D.4
Marsden, J.E.5
-
2
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
R. Camassa D.D. Holm An integrable shallow water equation with peaked solitons Phys. Rev. Lett. 71 1993 1661-1664
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.D.2
-
4
-
-
0010074217
-
Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view
-
P. Casati M. Pedroni Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view Lett. Math. Phys. 25 1992 89-101
-
(1992)
Lett. Math. Phys.
, vol.25
, pp. 89-101
-
-
Casati, P.1
Pedroni, M.2
-
5
-
-
19044377881
-
The extended Toda hierarchy
-
nlin-SI/0306060
-
G. Carlet, B. Dubrovin, Y. Zhang, The extended Toda hierarchy, nlin-SI/ 0306060, Moscow Math. J. 4 (2) (2004) 313.
-
(2004)
Moscow Math. J.
, vol.4
, Issue.2
, pp. 313
-
-
Carlet, G.1
Dubrovin, B.2
Zhang, Y.3
-
6
-
-
0001627817
-
Spectral sequences and the inverse problem of the calculus of variations
-
P. Dedecker W.M. Tulczyjev Spectral sequences and the inverse problem of the calculus of variations Lecture Notes Math. 836 1980 498-503
-
(1980)
Lecture Notes Math.
, vol.836
, pp. 498-503
-
-
Dedecker, P.1
Tulczyjev, W.M.2
-
7
-
-
11244325832
-
On deformation of Poisson manifolds of hydrodynamic type
-
nlin.SI/010352
-
L. Degiovanni, F. Magri, V. Sciacca, On deformation of Poisson manifolds of hydrodynamic type. nlin.SI/010352.
-
-
-
Degiovanni, L.1
Magri, F.2
Sciacca, V.3
-
9
-
-
0000644797
-
Geometry of 2D topological field theories
-
M. Francaviglia, S. Greco (Eds.), Integrable Systems and Quantum Groups, Montecatini, Terme 1993
-
B. Dubrovin, Geometry of 2D topological field theories, in: M. Francaviglia, S. Greco (Eds.), Integrable Systems and Quantum Groups, Montecatini, Terme, 1993. Springer Lecture Notes in Mathematics 1620 (1996) 120-348.
-
(1996)
Springer Lecture Notes in Mathematics
, vol.1620
, pp. 120-348
-
-
Dubrovin, B.1
-
10
-
-
0001392731
-
The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov-Whitham averaging method
-
B. Dubrovin S.P. Novikov The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov-Whitham averaging method Sov. Math. Dokl. 270 4 1983 665-669
-
(1983)
Sov. Math. Dokl.
, vol.270
, Issue.4
, pp. 665-669
-
-
Dubrovin, B.1
Novikov, S.P.2
-
11
-
-
0006666175
-
On Poisson brackets of hydrodynamic type
-
B. Dubrovin S.P. Novikov On Poisson brackets of hydrodynamic type Sov. Math. Dokl. 279 2 1984 294-297
-
(1984)
Sov. Math. Dokl.
, vol.279
, Issue.2
, pp. 294-297
-
-
Dubrovin, B.1
Novikov, S.P.2
-
12
-
-
0347767249
-
Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
-
B. Dubrovin S.P. Novikov Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory Russ. Math. Surv. 44 1989 35-124
-
(1989)
Russ. Math. Surv.
, vol.44
, pp. 35-124
-
-
Dubrovin, B.1
Novikov, S.P.2
-
13
-
-
0032276702
-
Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
-
B. Dubrovin Y. Zhang Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation Commun. Math. Phys. 198 1998 311-361
-
(1998)
Commun. Math. Phys.
, vol.198
, pp. 311-361
-
-
Dubrovin, B.1
Zhang, Y.2
-
14
-
-
0012863387
-
Normal forms of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants
-
math.DG/0108160
-
B. Dubrovin, Y. Zhang, Normal forms of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants. math.DG/0108160.
-
-
-
Dubrovin, B.1
Zhang, Y.2
-
15
-
-
4744344138
-
Virasoro symmetries of the extended Toda hierarchy
-
math.DG/0308152
-
B. Dubrovin, Y. Zhang, Virasoro symmetries of the extended Toda hierarchy, math.DG/0308152, Commun. Math. Phys. 250 (2004) 161-193.
-
(2004)
Commun. Math. Phys.
, vol.250
, pp. 161-193
-
-
Dubrovin, B.1
Zhang, Y.2
-
16
-
-
0000204750
-
On the genus expansion in the topological string theory
-
T. Eguchi Y. Yamada S.-K. Yang On the genus expansion in the topological string theory Rev. Math. Phys. 7 1995 279-309
-
(1995)
Rev. Math. Phys.
, vol.7
, pp. 279-309
-
-
Eguchi, T.1
Yamada, Y.2
Yang, S.-K.3
-
17
-
-
0035937671
-
Compatible Poisson brackets of hydrodynamic type
-
E.V. Ferapontov Compatible Poisson brackets of hydrodynamic type J. Phys. A 34 11 2001 2377-2388
-
(2001)
J. Phys. A
, vol.34
, Issue.11
, pp. 2377-2388
-
-
Ferapontov, E.V.1
-
18
-
-
0001702502
-
On a class of physically important integrable equations
-
A.S. Fokas On a class of physically important integrable equations Physica D 87 1995 145-150
-
(1995)
Physica D
, vol.87
, pp. 145-150
-
-
Fokas, A.S.1
-
19
-
-
22244482803
-
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
-
B. Fuchssteiner Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation Physica D 95 1996 229-243
-
(1996)
Physica D
, vol.95
, pp. 229-243
-
-
Fuchssteiner, B.1
-
20
-
-
49049150360
-
Symplectic structures, their Bäcklund transformations and hereditary symmetries
-
B. Fuchssteiner A.S. Fokas Symplectic structures, their Bäcklund transformations and hereditary symmetries Physica D 4 1981 47-66
-
(1981)
Physica D
, vol.4
, pp. 47-66
-
-
Fuchssteiner, B.1
Fokas, A.S.2
-
21
-
-
36849102552
-
Korteweg-de Vries equation and generalizations IV
-
C.S. Gardner Korteweg-de Vries equation and generalizations IV J. Math. Phys. 12 1971 1548-1551
-
(1971)
J. Math. Phys.
, vol.12
, pp. 1548-1551
-
-
Gardner, C.S.1
-
22
-
-
0037085530
-
A Darboux theorem for Hamiltonian operators in the formal calculus of variations
-
E. Getzler A Darboux theorem for Hamiltonian operators in the formal calculus of variations Duke Math. J. 111 2002 535-560
-
(2002)
Duke Math. J.
, vol.111
, pp. 535-560
-
-
Getzler, E.1
-
23
-
-
0041997524
-
The Toda conjecture
-
(Seoul, 2000) World Scientific Publishing River Edge, NJ math.AG/0108108
-
E. Getzler The Toda conjecture Symplectic Geometry and Mirror Symmetry (Seoul, 2000) 2001 World Scientific Publishing River Edge, NJ 51-79 math.AG/0108108
-
(2001)
Symplectic Geometry and Mirror Symmetry
, pp. 51-79
-
-
Getzler, E.1
-
24
-
-
84972540666
-
Les varietes de Poisson et leurs algèbres de Lie associeés
-
A. Lichnerowicz Les varietes de Poisson et leurs algèbres de Lie associeés J. Diff. Geom. 12 1977 253-300
-
(1977)
J. Diff. Geom.
, vol.12
, pp. 253-300
-
-
Lichnerowicz, A.1
-
25
-
-
0036888090
-
Deformations of bihamiltonian structures of hydrodynamic type
-
P. Lorenzoni Deformations of bihamiltonian structures of hydrodynamic type J. Geom. Phys. 44 2002 331-375
-
(2002)
J. Geom. Phys.
, vol.44
, pp. 331-375
-
-
Lorenzoni, P.1
-
26
-
-
12844252460
-
The conservation of the Hamiltonian structures in Whitham's method of averaging, Izvestiya
-
A. Maltsev The conservation of the Hamiltonian structures in Whitham's method of averaging, Izvestiya Mathematics 63 6 1999 1171-1201
-
(1999)
Mathematics
, vol.63
, Issue.6
, pp. 1171-1201
-
-
Maltsev, A.1
-
27
-
-
0001666846
-
A simple construction of integrable systems
-
F. Magri A simple construction of integrable systems J. Math. Phys. 19 1978 1156-1162
-
(1978)
J. Math. Phys.
, vol.19
, pp. 1156-1162
-
-
Magri, F.1
-
28
-
-
0035619225
-
Compatible and almost compatible pseudo-Riemannian metrics
-
O.I. Mokhov Compatible and almost compatible pseudo-Riemannian metrics Funct. Anal. Appl. 35 2 2001 100-110
-
(2001)
Funct. Anal. Appl.
, vol.35
, Issue.2
, pp. 100-110
-
-
Mokhov, O.I.1
-
29
-
-
0002161530
-
Korteweg-de Vries equation is a completely integrable Hamiltonian system
-
V.E. Zakharov L.D. Faddeev Korteweg-de Vries equation is a completely integrable Hamiltonian system Funkz. Anal. Priloz. 5 1971 18-27
-
(1971)
Funkz. Anal. Priloz.
, vol.5
, pp. 18-27
-
-
Zakharov, V.E.1
Faddeev, L.D.2
-
30
-
-
0346532050
-
1 topological sigma model and the Toda lattice hierarchy
-
1 topological sigma model and the Toda lattice hierarchy J. Geom. Phys. 40 2002 215-232
-
(2002)
J. Geom. Phys.
, vol.40
, pp. 215-232
-
-
Zhang, Y.1
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