-
1
-
-
0013101025
-
Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras
-
M. R. Adams, J. Hamad, J. Hurtubise. Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras. Commun. Math. Phys. 155, 1993, P. 385-413.
-
(1993)
Commun. Math. Phys.
, vol.155
, pp. 385-413
-
-
Adams, M.R.1
Hamad, J.2
Hurtubise, J.3
-
2
-
-
0003144467
-
The complex geometry of the Kowalewski-Painlevé analysis
-
M. Adler, P. van Moerbeke. The complex geometry of the Kowalewski-Painlevé analysis. Invent. Math. 97, 1989, P. 3-51.
-
(1989)
Invent. Math.
, vol.97
, pp. 3-51
-
-
Adler, M.1
Van Moerbeke, P.2
-
3
-
-
84980191785
-
On stationary problems for equations of Korteweg-de Vries type
-
S. I. Alber. On stationary problems for equations of Korteweg-de Vries type, Comm. Pure Appl. Math. XXXIV, 1981, P. 259-272.
-
(1981)
Comm. Pure Appl. Math.
, vol.34
, pp. 259-272
-
-
Alber, S.I.1
-
4
-
-
0001521197
-
Integrable stationary flows, Miura maps and Bi-Hamiltonian Structures
-
M. Antonowicz, A. P. Fordy, S. Wojciechowski. Integrable stationary flows, Miura maps and Bi-Hamiltonian Structures. Phys. Lett. A 124, 1987, P. 455-462.
-
(1987)
Phys. Lett. A
, vol.124
, pp. 455-462
-
-
Antonowicz, M.1
Fordy, A.P.2
Wojciechowski, S.3
-
5
-
-
0032362858
-
On separability of bi-Hamiltonian chain with degenerated Poisson structures
-
M. Blaszak. On separability of bi-Hamiltonian chain with degenerated Poisson structures. J. Math. Phys. 39, 1998, P. 3213-3235.
-
(1998)
J. Math. Phys.
, vol.39
, pp. 3213-3235
-
-
Blaszak, M.1
-
6
-
-
0038995187
-
The relationship between Hamiltonian formalism of stationary and non-stationary problems
-
O. I. Bogoyavlensky, S. P. Novikov. The relationship between Hamiltonian formalism of stationary and non-stationary problems. Funct. Anal. Appl. 10, 1976, P. 8-11.
-
(1976)
Funct. Anal. Appl.
, vol.10
, pp. 8-11
-
-
Bogoyavlensky, O.I.1
Novikov, S.P.2
-
7
-
-
0005143576
-
Hyperelliptic Kleinian function and applications
-
(V. M. Buchstaber, S. P. Novikov, eds.), AMS Trans. Ser 2, Advances in Math. Sciences
-
V. M. Buchstaber, V. Z. Enolskii, D. V. Leykin. Hyperelliptic Kleinian function and applications. In Solitons, Geometry and Topology: On the Crossroad, (V. M. Buchstaber, S. P. Novikov, eds.), AMS Trans. Ser 2, Advances in Math. Sciences, V. 179, 1997, P. 1-34.
-
(1997)
In Solitons, Geometry and Topology: On the Crossroad
, vol.179
, pp. 1-34
-
-
Buchstaber, V.M.1
Enolskii, V.Z.2
Leykin, D.V.3
-
8
-
-
0031504664
-
A note on Fractional KdV Hierarchies
-
P. Casati, C. Falqui, F. Magri, M. Pedroni. A note on Fractional KdV Hierarchies. J. Math. Phys. 38, 1997, P. 4605-4628.
-
(1997)
J. Math. Phys.
, vol.38
, pp. 4605-4628
-
-
Casati, P.1
Falqui, C.2
Magri, F.3
Pedroni, M.4
-
9
-
-
0001480249
-
Bi-Hamiltonian Manifolds and τ-function
-
(M. J. Gotay et al. eds.), Contemporary Mathematics , American Mathematical Society, Providence, R. I.
-
P. Casati, F. Magri, M. Pedroni. Bi-Hamiltonian Manifolds and τ-function. In: Mathematical Aspects of Classical Field Theory 1991 (M. J. Gotay et al. eds.), Contemporary Mathematics V. 132, American Mathematical Society, Providence, R. I., 1992, P. 213-234,
-
(1992)
Mathematical Aspects of Classical Field Theory 1991
, vol.132
, pp. 213-234
-
-
Casati, P.1
Magri, F.2
Pedroni, M.3
-
10
-
-
0010074217
-
Drinfeld-Sokolov Reduction on a Simple Lie Algebra from the Bi-Hamiltonian Point of View
-
P. Casati, M. Pedroni. Drinfeld-Sokolov Reduction on a Simple Lie Algebra from the Bi-Hamiltonian Point of View. Lett. Math. Phys., 25, 1992, P. 89-101.
-
(1992)
Lett. Math. Phys.
, vol.25
, pp. 89-101
-
-
Casati, P.1
Pedroni, M.2
-
11
-
-
0002439092
-
Transformation Groups for Soliton Equations
-
(M. Jimbo, T. Miwa, eds.), World Scientific, Singapore
-
E. Date, M. Jimbo, M. Kashiwara, T. Miwa. Transformation Groups for Soliton Equations. Proceedings of R.I.M.S. Symposium on Nonlinear Integrable Systems - Classical Theory and Quantum Theory (M. Jimbo, T. Miwa, eds.), World Scientific, Singapore, 1983, P. 39-119.
-
(1983)
Proceedings of R.I.M.S. Symposium on Nonlinear Integrable Systems - Classical Theory and Quantum Theory
, pp. 39-119
-
-
Date, E.1
Jimbo, M.2
Kashiwara, M.3
Miwa, T.4
-
12
-
-
0003252813
-
Soliton Equations and Hamiltonian Systems
-
World Scientific, Singapore
-
L. A. Dickey. Soliton Equations and Hamiltonian Systems. Adv. Series in Math. Phys., V. 12, World Scientific, Singapore, 1991.
-
(1991)
Adv. Series in Math. Phys.
, vol.12
-
-
Dickey, L.A.1
-
13
-
-
0000534537
-
-
(Dynamical Systems IV), V. I. Arnol'd, S. P. Novikov, eds., Springer Verlag, Berlin
-
B. A. Dubrovin, I. M. Krichever, S. P. Novikov. Integrable Systems I. Encyclopaedia of Mathematical Sciences, V. 4 (Dynamical Systems IV), V. I. Arnol'd, S. P. Novikov, eds., Springer Verlag, Berlin, 1990.
-
(1990)
Integrable Systems I. Encyclopaedia of Mathematical Sciences
, vol.4
-
-
Dubrovin, B.A.1
Krichever, I.M.2
Novikov, S.P.3
-
14
-
-
84913921727
-
Nonlinear equations of KdV type, finite gap linear operators, and Abelian varieties
-
B. A. Dubrovin, V.B. Matveev, S. P. Novikov. Nonlinear equations of KdV type, finite gap linear operators, and Abelian varieties. Russ. Math. Surv., 31, 1976, P. 59-146.
-
(1976)
Russ. Math. Surv.
, vol.31
, pp. 59-146
-
-
Dubrovin, B.A.1
Matveev, V.B.2
Novikov, S.P.3
-
15
-
-
0032188605
-
Bi-Hamiltonian Geometry, Darboux Coverings, and Linearization of the KP hierarchy
-
G. Falqui, F. Magri, M. Pedroni. Bi-Hamiltonian Geometry, Darboux Coverings, and Linearization of the KP hierarchy. Commun. Math. Phys. 197, 1998, P. 303-324.
-
(1998)
Commun. Math. Phys.
, vol.197
, pp. 303-324
-
-
Falqui, G.1
Magri, F.2
Pedroni, M.3
-
17
-
-
85046527363
-
Bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy
-
SISSA preprint 123/98/FM, to appear
-
G. Falqui, F. Magri, G. Tondo. Bi-Hamiltonian systems and separation of variables: an example from the Boussinesq hierarchy. SISSA preprint 123/98/FM, to appear in Theor. Math. Phys.
-
Theor. Math. Phys.
-
-
Falqui, G.1
Magri, F.2
Tondo, G.3
-
18
-
-
0002283278
-
Hamiltonian Structures in Stationary Manifold Coordinates
-
(A. S. Fokas, I. M. Gelfand eds.), PND 26, Birkhäuser, Boston
-
A. P. Fordy, S. D. Harris. Hamiltonian Structures in Stationary Manifold Coordinates. In: Algebraic Aspects of Integrable Systems (A. S. Fokas, I. M. Gelfand eds.), PND 26, Birkhäuser, Boston, 1996, P. 103-130.
-
(1996)
Algebraic Aspects of Integrable Systems
, pp. 103-130
-
-
Fordy, A.P.1
Harris, S.D.2
-
19
-
-
0002700949
-
On the local geometry of a bi-Hamiltonian structure
-
(L. Corwin et al. eds.), Birkhäuser, Boston
-
I. M. Gel'fand, I. Zakharevich. On the local geometry of a bi-Hamiltonian structure. In: The Gelfand Mathematical Seminars 1990-1992 (L. Corwin et al. eds.), Birkhäuser, Boston, 1993, P. 51-112.
-
(1993)
The Gelfand Mathematical Seminars 1990-1992
, pp. 51-112
-
-
Gel'fand, I.M.1
Zakharevich, I.2
-
22
-
-
0010989303
-
Methods of algebraic geometry in the theory of non-linear equations
-
I. M. Krichever. Methods of algebraic geometry in the theory of non-linear equations. Russ. Math. Surv., 32, 1977, P. 185-213.
-
(1977)
Russ. Math. Surv.
, vol.32
, pp. 185-213
-
-
Krichever, I.M.1
-
23
-
-
84980148156
-
Periodic Solutions of the KdV Equation
-
P. Lax. Periodic Solutions of the KdV Equation. Comm. Pure Appl. Math., XXVIII, 1975, P. 141-188.
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, pp. 141-188
-
-
Lax, P.1
-
24
-
-
0000254106
-
Poisson-Nijenhuis structures and Sato hierarchy
-
G. Magnano, F. Magri. Poisson-Nijenhuis structures and Sato hierarchy. Rev. Math. Phys. 3, 1991, P. 403-466.
-
(1991)
Rev. Math. Phys.
, vol.3
, pp. 403-466
-
-
Magnano, G.1
Magri, F.2
-
25
-
-
0345135379
-
Geometry and soliton equations
-
La Mécanique Analytique de Lagrange et son héritage
-
F. Magri. Geometry and soliton equations. In: La Mécanique Analytique de Lagrange et son héritage, Atti Acc. Sci. Torino Suppl., 124, 1990, P. 181-209.
-
(1990)
Atti Acc. Sci. Torino Suppl.
, vol.124
, pp. 181-209
-
-
Magri, F.1
-
26
-
-
0000757211
-
Reduction of Poisson Manifolds
-
J. E. Marsden, T. Ratiu. Reduction of Poisson Manifolds. Lett. Math. Phys. 11, 1986, P. 161-169.
-
(1986)
Lett. Math. Phys.
, vol.11
, pp. 161-169
-
-
Marsden, J.E.1
Ratiu, T.2
-
27
-
-
0031582157
-
Quasi-Bi-Hamiltonian systems and separability
-
C. Morosi, C. Tondo. Quasi-Bi-Hamiltonian systems and separability. J. Phys. A.: Math. Gen., 30, 1997, P. 2799-2806.
-
(1997)
J. Phys. A.: Math. Gen.
, vol.30
, pp. 2799-2806
-
-
Morosi, C.1
Tondo, C.2
-
29
-
-
0001827098
-
The spectrum of difference operators and algebraic curves
-
D. Mumford, P. van Moerbeke. The spectrum of difference operators and algebraic curves. Acta Math., 143, 1979, P. 93-154.
-
(1979)
Acta Math.
, vol.143
, pp. 93-154
-
-
Mumford, D.1
Van Moerbeke, P.2
-
30
-
-
54649084986
-
A Lie algebraic generalization of the Mumford System, its symmetries and its multi-Hamiltonian structure
-
M. Pedroni, P. Vanhaecke. A Lie algebraic generalization of the Mumford System, its symmetries and its multi-Hamiltonian structure. Regular and Chaotic Dynamics, 3, 1998, P. 132-160.
-
(1998)
Regular and Chaotic Dynamics
, vol.3
, pp. 132-160
-
-
Pedroni, M.1
Vanhaecke, P.2
-
31
-
-
51249178853
-
Generalized Weierstrass ℘-functions and KP flows in affine space
-
E. Previato. Generalized Weierstrass ℘-functions and KP flows in affine space. Comment. Math. Helvetici, 62, 1987, P. 292-310.
-
(1987)
Comment. Math. Helvetici
, vol.62
, pp. 292-310
-
-
Previato, E.1
-
32
-
-
0009154904
-
Newton representation for stationary flows of the KdV hierarchy
-
S. Rauch-Wojchechowski. Newton representation for stationary flows of the KdV hierarchy. Phys. Lett. A 170, 1992, P. 91-94.
-
(1992)
Phys. Lett. A
, vol.170
, pp. 91-94
-
-
Rauch-Wojchechowski, S.1
-
33
-
-
0000803899
-
Compatible Poisson structures for Lax equations: An r-matrix approach
-
A. G. Reyman, M. A. Semenov-Tian-Shansky. Compatible Poisson structures for Lax equations: an r-matrix approach. Phys. Lett. A 130, 1988, P. 456-460.
-
(1988)
Phys. Lett. A
, vol.130
, pp. 456-460
-
-
Reyman, A.G.1
Semenov-Tian-Shansky, M.A.2
-
34
-
-
0002190849
-
Soliton equations as dynamical systems on infinite-dimensional Grassmann manifold
-
(US-Japan Seminar, Tokyo), P. Lax, H. Fujita eds., North-Holland, Amsterdam
-
M. Sato, Y. Sato. Soliton equations as dynamical systems on infinite-dimensional Grassmann manifold. In: Nonlinear PDEs in Applied Sciences (US-Japan Seminar, Tokyo), P. Lax, H. Fujita eds., North-Holland, Amsterdam, 1982, P. 259-271.
-
(1982)
Nonlinear PDEs in Applied Sciences
, pp. 259-271
-
-
Sato, M.1
Sato, Y.2
-
35
-
-
51249179487
-
Loop Groups and equations of the KdV type
-
G. Segal, G. Wilson. Loop Groups and equations of the KdV type. Publ. Math. IHES 61, 1985, P. 5-65.
-
(1985)
Publ. Math. IHES
, vol.61
, pp. 5-65
-
-
Segal, G.1
Wilson, G.2
-
36
-
-
0002681157
-
Separations of variables: New trends
-
E. Sklyanin. Separations of variables: new trends. Progr. Theor. Phys. Suppl. 118, 1995, P. 35-60.
-
(1995)
Progr. Theor. Phys. Suppl.
, vol.118
, pp. 35-60
-
-
Sklyanin, E.1
-
37
-
-
21844516310
-
On the integrability of stationary and restricted flows of the KdV hierarchy
-
G. Tondo. On the integrability of stationary and restricted flows of the KdV hierarchy. J. Phys. A 28, 1995, P. 5097-5115.
-
(1995)
J. Phys. A
, vol.28
, pp. 5097-5115
-
-
Tondo, G.1
|