-
1
-
-
0002004721
-
Solitons, nonlinear evolution equations and inverse scattering
-
Cambridge University Press, Cambridge
-
Ablowitz, M. J. and Clarkson, P. A., Solitons, nonlinear evolution equations and inverse scattering, London Math. Soc. Lecture Note Series 149 (Cambridge University Press, Cambridge, 1991).
-
(1991)
London Math. Soc. Lecture Note Series
, vol.149
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
3
-
-
0005195571
-
A Lax representation of the vertex operator and the central extension
-
Adler, M., Shiota, T., and van Moerbeke, P., "A Lax representation of the vertex operator and the central extension," Commun. Math. Phys. 171, 547-588 (1995).
-
(1995)
Commun. Math. Phys.
, vol.171
, pp. 547-588
-
-
Adler, M.1
Shiota, T.2
Van Moerbeke, P.3
-
4
-
-
0036988051
-
Pfaff τ-functions
-
Adler, M., Shiota, T., and van Moerbeke, P., "Pfaff τ-functions," Math. Ann. 322, 423-476 (2002).
-
(2002)
Math. Ann.
, vol.322
, pp. 423-476
-
-
Adler, M.1
Shiota, T.2
Van Moerbeke, P.3
-
5
-
-
84972560172
-
Partitions, vertex operator constructions and multi-component KP equations
-
Bergvelt, M. J. and ten Kroode, A. P. E., "Partitions, vertex operator constructions and multi-component KP equations," Pac. J. Math. 171, 23-88 (1995).
-
(1995)
Pac. J. Math.
, vol.171
, pp. 23-88
-
-
Bergvelt, M.J.1
Ten Kroode, A.P.E.2
-
6
-
-
45549119495
-
Scattering of localized solitons in the plane
-
Boiti, M., Leon, J., Martina, L., and Pempinelli, F., "Scattering of localized solitons in the plane," Phys. Lett. A 132, 432-439 (1988).
-
(1988)
Phys. Lett. A
, vol.132
, pp. 432-439
-
-
Boiti, M.1
Leon, J.2
Martina, L.3
Pempinelli, F.4
-
7
-
-
0001519224
-
Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III
-
Date, E., Jimbo, M., Kashiwara, M., and Miwa, T., "Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III," J. Phys. Soc. Jpn. 50, 3806-3812 (1981).
-
(1981)
J. Phys. Soc. Jpn.
, vol.50
, pp. 3806-3812
-
-
Date, E.1
Jimbo, M.2
Kashiwara, M.3
Miwa, T.4
-
8
-
-
84996377707
-
Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
-
Date, E., Jimbo, M., Kashiwara, M., and Miwa, T., "Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy," Publ. Res. Inst. Math. Sci. 18, 1077-1110 (1982).
-
(1982)
Publ. Res. Inst. Math. Sci.
, vol.18
, pp. 1077-1110
-
-
Date, E.1
Jimbo, M.2
Kashiwara, M.3
Miwa, T.4
-
9
-
-
0002439092
-
Transformation groups for soliton equations
-
edited by M. Jimbo and T. Miwa (World Scientific, Singapore)
-
Date, E., Jimbo, M., Kashiwara, M., and Miwa, T., "Transformation groups for soliton equations," in Nonlinear Integrable Systems - Classical Theory and Quantum Theory, edited by M. Jimbo and T. Miwa (World Scientific, Singapore, 1983), pp. 39-120.
-
(1983)
Nonlinear Integrable Systems - Classical Theory and Quantum Theory
, pp. 39-120
-
-
Date, E.1
Jimbo, M.2
Kashiwara, M.3
Miwa, T.4
-
10
-
-
0041564630
-
On Segal-Wilson's definition of the τ-function and hierarchies of AKNS-D and mcKP
-
Integrable Systems (Luminy, 1991) (Birkhuser, Boston)
-
Dickey, L. A., "On Segal-Wilson's definition of the τ-function and hierarchies of AKNS-D and mcKP," in Integrable Systems (Luminy, 1991), pp. 147-161, Progress in Mathematics, Vol 115 (Birkhuser, Boston, 1993).
-
(1993)
Progress in Mathematics
, vol.115
, pp. 147-161
-
-
Dickey, L.A.1
-
11
-
-
0042566788
-
Completely integrable Hamiltonian systems related to matrix operators, and abelian manifolds
-
Dubrovin, B. A., "Completely integrable Hamiltonian systems related to matrix operators, and abelian manifolds," Funct. Anal. Appl. 11, 28-41 (1977).
-
(1977)
Funct. Anal. Appl.
, vol.11
, pp. 28-41
-
-
Dubrovin, B.A.1
-
12
-
-
0347427534
-
Integrable systems in lopological field theory
-
Dubrovin, B. A., "Integrable systems in lopological field theory," Nucl. Phys. B 379, 627-689 (1992).
-
(1992)
Nucl. Phys. B
, vol.379
, pp. 627-689
-
-
Dubrovin, B.A.1
-
13
-
-
0042566761
-
Integrable systems and classification of 2-dimensional topological field theories
-
Integrable Systems (Luminy, 1991) (Birkhäuser, Boston)
-
Dubrovin, B. A., "Integrable systems and classification of 2-dimensional topological field theories," in Integrable Systems (Luminy, 1991). Progress in Mathematics, Vol. 115 (Birkhäuser, Boston, 1993), pp. 613-359.
-
(1993)
Progress in Mathematics
, vol.115
, pp. 613-359
-
-
Dubrovin, B.A.1
-
14
-
-
0000644797
-
Geometry of 2D topological field theories
-
Integrable systems and quantum groups (Montecatini Terme, 1993) (Springer, Berlin)
-
Dubrovin, B. A., "Geometry of 2D topological field theories," in Integrable systems and quantum groups (Montecatini Terme, 1993), Lecture Notes in Math., Vol. 1620 (Springer, Berlin, 1996), pp. 120-348.
-
(1996)
Lecture Notes in Math.
, vol.1620
, pp. 120-348
-
-
Dubrovin, B.A.1
-
15
-
-
0032276702
-
Bi-Hamiltonian hierarchies in 2D topological field theory at one-loop approximation
-
Dubrovin, B. A. and Zhang, Y.-J., "Bi-Hamiltonian hierarchies in 2D topological field theory at one-loop approximation," Commun. Math. Phys. 198, 311-361 (1998).
-
(1998)
Commun. Math. Phys.
, vol.198
, pp. 311-361
-
-
Dubrovin, B.A.1
Zhang, Y.-J.2
-
16
-
-
0002630015
-
Basic representations of affine Lie algebras and dual resonance models
-
Frenkel, I. B. and Kac, V. G., "Basic representations of affine Lie algebras and dual resonance models," Invent. Math. 62, 23-66 (1980).
-
(1980)
Invent. Math.
, vol.62
, pp. 23-66
-
-
Frenkel, I.B.1
Kac, V.G.2
-
18
-
-
0039587886
-
Recursion operators and bi-Hamiltonian structures in multidimensions. H
-
Fokas, A. S. and Santini, P. M., "Recursion operators and bi-Hamiltonian structures in multidimensions. H.," Commun. Math. Phys. 116, 449-474 (1988).
-
(1988)
Commun. Math. Phys.
, vol.116
, pp. 449-474
-
-
Fokas, A.S.1
Santini, P.M.2
-
19
-
-
4244193388
-
Dromions and boundary value problem for the Davey-Stewartson 1 equation
-
Fokas, A. S. and Santini, P. M., "Dromions and boundary value problem for the Davey-Stewartson 1 equation," Physica D 44, 99-130 (1990).
-
(1990)
Physica D
, vol.44
, pp. 99-130
-
-
Fokas, A.S.1
Santini, P.M.2
-
20
-
-
0011095251
-
Some identities for abelian integrals
-
Gunning, R. C., "Some identities for abelian integrals," Am. J. Math. 108, 39-74 (1986).
-
(1986)
Am. J. Math.
, vol.108
, pp. 39-74
-
-
Gunning, R.C.1
-
21
-
-
44949282706
-
Fusion and fission of dromions in the Davey-Stewartson equation
-
Hernandes Heredero, R., Martinez Alonso, L., and Medina Reus, E., "Fusion and fission of dromions in the Davey-Stewartson equation," Phys. Lett. A 152, 37-41 (1991).
-
(1991)
Phys. Lett. A
, vol.152
, pp. 37-41
-
-
Hernandes Heredero, R.1
Martinez Alonso, L.2
Medina Reus, E.3
-
22
-
-
0000782741
-
Multidromion solutions of the Davey-Stewartson equation
-
Hietarinta, J. and Hirota, R., "Multidromion solutions of the Davey-Stewartson equation," Phys. Lett. A 145, 237-244 (1990).
-
(1990)
Phys. Lett. A
, vol.145
, pp. 237-244
-
-
Hietarinta, J.1
Hirota, R.2
-
23
-
-
0002464716
-
Direct method in soliton theory
-
edited by R. K. Bullough and P. J. Caudrey (Springer Verlag, New York)
-
Hirota, R., "Direct method in soliton theory," in Solitons, edited by R. K. Bullough and P. J. Caudrey (Springer Verlag, New York, 1980).
-
(1980)
Solitons
-
-
Hirota, R.1
-
24
-
-
85008279103
-
Solitons and infinite dimensional Lie algebras
-
Jimbo, M. and Miwa, T., "Solitons and infinite dimensional Lie algebras," Publ. Res. Inst. Math. Sci. 19, 943-1001 (1983).
-
(1983)
Publ. Res. Inst. Math. Sci.
, vol.19
, pp. 943-1001
-
-
Jimbo, M.1
Miwa, T.2
-
25
-
-
0003273558
-
Infinite dimensional lie algebras
-
Brikhäuser, Boston
-
Kac, V. G., "Infinite Dimensional Lie Algebras," Progress in Math., Vol. 44 (Brikhäuser, Boston, 1983); 2nd ed. (Cambridge University Press, Cambridge, 1985); 3rd ed. (Cambridge University Press, Cambridge 1990).
-
(1983)
Progress in Math.
, vol.44
-
-
Kac, V.G.1
-
26
-
-
0039580895
-
-
Cambridge University Press, Cambridge
-
Kac, V. G., "Infinite Dimensional Lie Algebras," Progress in Math., Vol. 44 (Brikhäuser, Boston, 1983); 2nd ed. (Cambridge University Press, Cambridge, 1985); 3rd ed. (Cambridge University Press, Cambridge 1990).
-
(1985)
Progress in Math., 2nd Ed.
-
-
-
27
-
-
0040172236
-
-
Cambridge University Press, Cambridge
-
Kac, V. G., "Infinite Dimensional Lie Algebras," Progress in Math., Vol. 44 (Brikhäuser, Boston, 1983); 2nd ed. (Cambridge University Press, Cambridge, 1985); 3rd ed. (Cambridge University Press, Cambridge 1990).
-
(1990)
Progress in Math., 3rd Ed.
-
-
-
28
-
-
0003159134
-
s
-
edited by W. A. Bardeen and A. R. White (World Scientific, Singapore)
-
s," in Proc. of the Symposium Anomalies, Geometry, Topology, Argonne, edited by W. A. Bardeen and A. R. White (World Scientific, Singapore, 1985), pp. 276-298.
-
(1985)
Proc. of the Symposium Anomalies, Geometry, Topology, Argonne
, pp. 276-298
-
-
Kac, V.G.1
Peterson, D.H.2
-
29
-
-
0001098130
-
Lectures on the infinite wedge representation and the MKP hierarchy
-
Presses Univ. Montreal, Montreal
-
Kac, V. G. and Peterson, D. H., "Lectures on the infinite wedge representation and the MKP hierarchy," Sem. Math. Sup., Vol. 102 (Presses Univ. Montreal, Montreal, 1986), pp. 141-184.
-
(1986)
Sem. Math. Sup.
, vol.102
, pp. 141-184
-
-
Kac, V.G.1
Peterson, D.H.2
-
30
-
-
18844422980
-
Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
-
Kac, V. and Radul, A., "Quasifinite highest weight modules over the Lie algebra of differential operators on the circle," Commun. Math. Phys. 157, 429-457 (1993).
-
(1993)
Commun. Math. Phys.
, vol.157
, pp. 429-457
-
-
Kac, V.1
Radul, A.2
-
32
-
-
0003290251
-
Bombay lectures on highest weight representations of infinite-dimensional Lie algebras
-
World Scientific, Singapore
-
Kac, V. G. and Raina, A. K., Bombay lectures on highest weight representations of infinite-dimensional Lie algebras, Advanced Ser. in Math. Phys., Vol. 2 (World Scientific, Singapore, 1987).
-
(1987)
Advanced Ser. in Math. Phys.
, vol.2
-
-
Kac, V.G.1
Raina, A.K.2
-
33
-
-
0003137426
-
The n-component KP hierarchy and representation theory
-
Springer, Berlin
-
Kac, V. G. and van de Leur, J. W., "The n-component KP hierarchy and representation theory," Important Developments in Soliton Theory, Springer Ser. Nonlinear Dynam. (Springer, Berlin, 1993), pp. 302-343.
-
(1993)
Important Developments in Soliton Theory, Springer Ser. Nonlinear Dynam.
, pp. 302-343
-
-
Kac, V.G.1
Van de Leur, J.W.2
-
34
-
-
0003193362
-
The geometry of spinors and the multicomponent BKP and DKP hierarchies, The bispectral problem
-
Montreal, 1997 (AMS, Providence, RI)
-
Kac, V. G. and van de Leur, J. W., "The geometry of spinors and the multicomponent BKP and DKP hierarchies, The bispectral problem," Montreal, 1997, CRM Proc. Lecture Notes, Vol. 14 (AMS, Providence, RI, 1998), pp. 159-202.
-
(1998)
CRM Proc. Lecture Notes
, vol.14
, pp. 159-202
-
-
Kac, V.G.1
Van de Leur, J.W.2
-
35
-
-
0001082536
-
Exceptional hierarchies of soliton equations
-
Kac, V. G. and Wakimoto, M., "Exceptional hierarchies of soliton equations," Proc. Symp. Pure Math. 49, 191-237 (1989).
-
(1989)
Proc. Symp. Pure Math.
, vol.49
, pp. 191-237
-
-
Kac, V.G.1
Wakimoto, M.2
-
36
-
-
0002197536
-
Realization of the basic representations of the Euclidean Lie algebras
-
Kac, V. G., Kazhdan, D. A., Lepowsky, J., and Wilson, R. L., "Realization of the basic representations of the Euclidean Lie algebras," Adv. Math. 42, 83-112 (1981).
-
(1981)
Adv. Math.
, vol.42
, pp. 83-112
-
-
Kac, V.G.1
Kazhdan, D.A.2
Lepowsky, J.3
Wilson, R.L.4
-
38
-
-
0007012325
-
Complete integrability of the Kadomtsev-Petviashvili equation
-
Mulase, M., "Complete integrability of the Kadomtsev-Petviashvili equation," Adv. Math. 54, 57-66 (1984).
-
(1984)
Adv. Math.
, vol.54
, pp. 57-66
-
-
Mulase, M.1
-
39
-
-
0002833148
-
Solvability of the super KP equation and a generalization of the Birkhoff decomposition
-
Mulase, M., "Solvability of the Super KP equation and a generalization of the Birkhoff decomposition," Invent. Math. 92, 1-46 (1988).
-
(1988)
Invent. Math.
, vol.92
, pp. 1-46
-
-
Mulase, M.1
-
40
-
-
0003916102
-
-
Consultants Bureau, New York
-
Novikov, S., Manakov, S., Pitaevskii, L., and Zakharov, V., Theory of Solitons (Consultants Bureau, New York, 1984).
-
(1984)
Theory of Solitons
-
-
Novikov, S.1
Manakov, S.2
Pitaevskii, L.3
Zakharov, V.4
-
41
-
-
0009145135
-
Additional symmetries for integrable and conformal algebra representations
-
Orlov, A. Y. and Schulman, E. I., "Additional symmetries for integrable and conformal algebra representations," Lett. Math. Phys. 12, 171 (1986).
-
(1986)
Lett. Math. Phys.
, vol.12
, pp. 171
-
-
Orlov, A.Y.1
Schulman, E.I.2
-
42
-
-
0000148293
-
Infinite flag varieties and conjugacy theorems
-
Peterson, D. H. and Kac, V. G., "Infinite flag varieties and conjugacy theorems," Proc. Natl. Acad. Sci. U.S.A. 80, 1778-1782 (1983).
-
(1983)
Proc. Natl. Acad. Sci. U.S.A.
, vol.80
, pp. 1778-1782
-
-
Peterson, D.H.1
Kac, V.G.2
-
43
-
-
0001841091
-
Soliton equations as dynamical systems on infinite dimensional Grassmann manifolds
-
Sato, M., "Soliton equations as dynamical systems on infinite dimensional Grassmann manifolds," Res. Inst. Math. Sci. Kokyuroku 439, 30-46 (1981).
-
(1981)
Res. Inst. Math. Sci. Kokyuroku
, vol.439
, pp. 30-46
-
-
Sato, M.1
-
45
-
-
0001739042
-
Characterization of Jacobian varieties in terms of soliton equations
-
Shiota, T., "Characterization of Jacobian varieties in terms of soliton equations," Invent. Math. 83, 333-382 (1986).
-
(1986)
Invent. Math.
, vol.83
, pp. 333-382
-
-
Shiota, T.1
-
46
-
-
0001565658
-
Kinks and the Dirac equation
-
Skyrme, T. H. R., "Kinks and the Dirac equation," J. Math. Phys. 12, 735-1743 (1971).
-
(1971)
J. Math. Phys.
, vol.12
, pp. 735-1743
-
-
Skyrme, T.H.R.1
-
49
-
-
0002596374
-
Toda lattice hierarchy
-
North-Holland, Amsterdam
-
Ueno, K. and Takasaki, K., "Toda lattice hierarchy," Adv. Stud. Pure Math., Vol. 4 (North-Holland, Amsterdam, 1984), pp. 1-95.
-
(1984)
Adv. Stud. Pure Math.
, vol.4
, pp. 1-95
-
-
Ueno, K.1
Takasaki, K.2
-
50
-
-
0030526116
-
s)-symmetries of the s-component KP hierarchy
-
s)-symmetries of the s-component KP hierarchy," J. Math. Phys. 37, 2315-2337 (1996).
-
(1996)
J. Math. Phys.
, vol.37
, pp. 2315-2337
-
-
Van de Leur, J.W.1
-
51
-
-
0032372275
-
Schlesinger-Bäcklund transformations for the N-component KP
-
van de Leur, J. W., "Schlesinger-Bäcklund transformations for the N-component KP," J. Math. Phys. 39, 2833-2847 (1998).
-
(1998)
J. Math. Phys.
, vol.39
, pp. 2833-2847
-
-
Van de Leur, J.W.1
-
53
-
-
0035627643
-
Matrix integrals and the geometry of spinors
-
van de Leur, J. W., "Matrix integrals and the geometry of spinors," J. Nonlinear Math. Phys. 8, 288-310 (2001).
-
(2001)
J. Nonlinear Math. Phys.
, vol.8
, pp. 288-310
-
-
Van de Leur, J.W.1
-
54
-
-
0002283027
-
On two construction of conservation laws for Lax equations
-
Wilson, G., "On two construction of conservation laws for Lax equations," Q. J. Math. 32, 491-512 (1981).
-
(1981)
Q. J. Math.
, vol.32
, pp. 491-512
-
-
Wilson, G.1
-
55
-
-
0001841378
-
The τ-function of the gAKNS equations
-
Integrable Systems (Luminy, 1991) Birkhuser, Boston
-
Wilson, G., "The τ-function of the gAKNS equations," Integrable Systems (Luminy, 1991), pp. 131-145, Progr. Math., Vol. 115 (Birkhuser, Boston, 1993).
-
(1993)
Progr. Math.
, vol.115
, pp. 131-145
-
-
Wilson, G.1
|