-
1
-
-
0033229507
-
Irreducible representations for toroidal Lie algebras
-
BB
-
[BB] S. Berman and Y. Billig, Irreducible representations for toroidal Lie algebras, J. Algebra 221, 188-231 (1999).
-
(1999)
J. Algebra
, vol.221
, pp. 188-231
-
-
Berman, S.1
Billig, Y.2
-
2
-
-
0033164294
-
An extension of the KdV hierarchy arising from a representation of a toroidal Lie algebra
-
Bi
-
[Bi] Y. Billig, An extension of the KdV hierarchy arising from a representation of a toroidal Lie algebra, J. Algebra 217, 40-64 (1999).
-
(1999)
J. Algebra
, vol.217
, pp. 40-64
-
-
Billig, Y.1
-
3
-
-
84891310274
-
Breaking solitons in 2 + 1-dimensional integrable equations
-
Bo1
-
[Bo1] O.I. Bogoyavlensky, Breaking solitons in 2 + 1-dimensional integrable equations, Russian Math. Surveys 45, 41-86 (1990).
-
(1990)
Russian Math. Surveys
, vol.45
, pp. 41-86
-
-
Bogoyavlensky, O.I.1
-
4
-
-
0011554358
-
Breaking solitons III
-
Bo2
-
[Bo2] O.I. Bogoyavlensky, Breaking solitons III, Izv. Akad. Nauk SSSR Ser. Matem. 54, 123-131 (1990); English transl. in Math. USSR Izv. 36, 129-137 (1991).
-
(1990)
Izv. Akad. Nauk SSSR Ser. Matem.
, vol.54
, pp. 123-131
-
-
Bogoyavlensky, O.I.1
-
5
-
-
0001537554
-
-
[Bo2] O.I. Bogoyavlensky, Breaking solitons III, Izv. Akad. Nauk SSSR Ser. Matem. 54, 123-131 (1990); English transl. in Math. USSR Izv. 36, 129-137 (1991).
-
(1991)
Math. USSR Izv.
, vol.36
, pp. 129-137
-
-
-
6
-
-
0000512712
-
Nonlinear partial differential equations and Bäcklund transformations related to the 4-dimensional self-dual Yang-Mills equations
-
BLR
-
[BLR] M. Bruschi, D. Levi and O. Ragnisco, Nonlinear partial differential equations and Bäcklund transformations related to the 4-dimensional self-dual Yang-Mills equations, Lett. Nuovo Cimento 33 263-266 (1982).
-
(1982)
Lett. Nuovo Cimento
, vol.33
, pp. 263-266
-
-
Bruschi, M.1
Levi, D.2
Ragnisco, O.3
-
7
-
-
51249191266
-
A method to generate solvable nonlinear evolution equations
-
C
-
[C] F. Calogero, A method to generate solvable nonlinear evolution equations, Lett. Nouvo Cimento 14, 443-447 (1975).
-
(1975)
Lett. Nouvo Cimento
, vol.14
, pp. 443-447
-
-
Calogero, F.1
-
8
-
-
3042903511
-
The construction of self-dual solution to SU(2) gauge theory
-
CFYG
-
[CFYG] E.F. Corrigan, D.B. Fairlie, R.G. Yates and P. Goddard, The construction of self-dual solution to SU(2) gauge theory, Commun. Math. Phys., 58, 223-240 (1978).
-
(1978)
Commun. Math. Phys.
, vol.58
, pp. 223-240
-
-
Corrigan, E.F.1
Fairlie, D.B.2
Yates, R.G.3
Goddard, P.4
-
9
-
-
0002439092
-
Transformation groups for soliton equations
-
DJKM, M. Jimbo and T. Miwa (eds.), World Scientific
-
[DJKM] E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Transformation groups for soliton equations, in Proceedings of RIMS symposium, M. Jimbo and T. Miwa (eds.), 39-120, World Scientific (1983).
-
(1983)
Proceedings of RIMS symposium
, pp. 39-120
-
-
Date, E.1
Jimbo, M.2
Kashiwara, M.3
Miwa, T.4
-
10
-
-
0039868731
-
On τ-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations
-
Di, A.S. Fokas and I.M. Gelfand (eds.), Progress in nonlinear differential equations and their applications, Birkhäuser
-
[Di] L.A. Dickey, On τ-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations, in Algebraic aspects of integrable systems, A.S. Fokas and I.M. Gelfand (eds.), Progress in nonlinear differential equations and their applications 26, Birkhäuser (1996).
-
(1996)
Algebraic aspects of integrable systems
, vol.26
-
-
Dickey, L.A.1
-
11
-
-
77952262883
-
Soliton solution of non-linear evolution equations
-
F
-
[F] N.C. Freeman, Soliton solution of non-linear evolution equations, IMA J. Appl. Math. 32, 125-145 (1984).
-
(1984)
IMA J. Appl. Math.
, vol.32
, pp. 125-145
-
-
Freeman, N.C.1
-
12
-
-
0347081505
-
Toroidal Lie algebras and Bogoyavlensky's (2 + 1)-dimensional equation
-
IT1
-
[IT1] T. Ikeda and K. Takasaki, Toroidal Lie algebras and Bogoyavlensky's (2 + 1)-dimensional equation, Internat. Math. Res. Notices, No. 7, 329-369 (2001).
-
(2001)
Internat. Math. Res. Notices
, vol.7
, pp. 329-369
-
-
Ikeda, T.1
Takasaki, K.2
-
14
-
-
0043282240
-
Hirota bilinear forms with 2-toroidal symmetry
-
ISW1
-
[ISW1] K. Iohara, Y. Saito and M. Wakimoto, "Hirota bilinear forms with 2-toroidal symmetry", Phys. Lett. A254, 37-46 (1999); Erratum, ibid. A268, 448-449 (2000).
-
(1999)
Phys. Lett.
, vol.A254
, pp. 37-46
-
-
Iohara, K.1
Saito, Y.2
Wakimoto, M.3
-
15
-
-
0043282240
-
-
Erratum, ibid. A268, 448-449 (2000)
-
[ISW1] K. Iohara, Y. Saito and M. Wakimoto, "Hirota bilinear forms with 2-toroidal symmetry", Phys. Lett. A254, 37-46 (1999);
-
-
-
-
16
-
-
0033235636
-
Notes on differential equations arising from a representation of 2-toroidal Lie algebras
-
ISW2
-
[ISW2] K. Iohara, Y. Saito and M. Wakimoto, "Notes on differential equations arising from a representation of 2-toroidal Lie algebras", Progr. of Theor. Phys. Suppl. 135, 166-181 (1999).
-
(1999)
Progr. of Theor. Phys. Suppl.
, vol.135
, pp. 166-181
-
-
Iohara, K.1
Saito, Y.2
Wakimoto, M.3
-
17
-
-
0011681360
-
Fermionic analysis of Davey-Stewartson dromions
-
JMM
-
[JMM] M. Jaulent, M.A. Manna and L. Martinez-Alonso, Fermionic analysis of Davey-Stewartson dromions, Phys. Lett. A151, 303-307 (1990).
-
(1990)
Phys. Lett.
, vol.A151
, pp. 303-307
-
-
Jaulent, M.1
Manna, M.A.2
Martinez-Alonso, L.3
-
18
-
-
0011687988
-
Integrability and a new breed of solitons of an NLS type equation in 2 + 1 dimensions
-
JB
-
[JB] Z. Jiang and R.K. Bullough, Integrability and a new breed of solitons of an NLS type equation in 2 + 1 dimensions, Phys. Lett. A190, 249-254 (1994).
-
(1994)
Phys. Lett.
, vol.A190
, pp. 249-254
-
-
Jiang, Z.1
Bullough, R.K.2
-
19
-
-
85008279103
-
Solitons and infinite dimensional Lie algebras
-
JM
-
[JM] M. Jimbo and T. Miwa, Solitons and infinite dimensional Lie algebras, Publ. RIMS, Kyoto Univ. 19, 943-1001 (1983).
-
(1983)
Publ. RIMS, Kyoto Univ.
, vol.19
, pp. 943-1001
-
-
Jimbo, M.1
Miwa, T.2
-
20
-
-
0041400915
-
-
JMD, Cambridge University Press
-
[JMD] M. Jimbo, T. Miwa and E. Date, Solitons, Cambridge Tracts in Mathematics 135, Cambridge University Press (2000).
-
(2000)
Solitons, Cambridge Tracts in Mathematics
, vol.135
-
-
Jimbo, M.1
Miwa, T.2
Date, E.3
-
23
-
-
48549114033
-
Kähler differentials and coverings of complex simple Lie algebras extended over commutative algebras
-
Kas
-
[Kas] C. Kassel, Kähler differentials and coverings of complex simple Lie algebras extended over commutative algebras, J. Pure Appl. Algebra 34, 265-275 (1985).
-
(1985)
J. Pure Appl. Algebra
, vol.34
, pp. 265-275
-
-
Kassel, C.1
-
24
-
-
0001649542
-
Deformation of algebras and solution of self-duality equation
-
LM
-
[LM] A.N. Leznov and M.A. Mukhtarov, Deformation of algebras and solution of self-duality equation, J. Math. Phys. 28, 2574-2578 (1987).
-
(1987)
J. Math. Phys.
, vol.28
, pp. 2574-2578
-
-
Leznov, A.N.1
Mukhtarov, M.A.2
-
25
-
-
0001473466
-
Toroidal Lie algebras and vertex representations
-
MEY
-
[MEY] R.V. Moody, S. Eswara Rao and T. Yokonuma, Toroidal Lie algebras and vertex representations, Geom. Ded. 35, 283-307 (1990).
-
(1990)
Geom. Ded.
, vol.35
, pp. 283-307
-
-
Moody, R.V.1
Rao, S.E.2
Yokonuma, T.3
-
26
-
-
0011662435
-
Self-dual Yang-Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions
-
N
-
[N] Y. Nakamura, Self-dual Yang-Mills hierarchy: a nonlinear integrable dynamical system in higher dimensions, J. Math. Phys. 32, 382-385 (1991).
-
(1991)
J. Math. Phys.
, vol.32
, pp. 382-385
-
-
Nakamura, Y.1
-
27
-
-
0001743822
-
A cubic action for self-dual Yang-Mills
-
Pa
-
[Pa] A. Parkes, A cubic action for self-dual Yang-Mills, Phys. Lett. B286, 265-270 (1992).
-
(1992)
Phys. Lett.
, vol.B286
, pp. 265-270
-
-
Parkes, A.1
-
28
-
-
0000892135
-
Instantons and monopoles in Yang-Mills gauge field theories
-
Pr
-
[Pr] M.K. Prasad, Instantons and monopoles in Yang-Mills gauge field theories, Physica 1D, 167-191 (1980).
-
(1980)
Physica
, vol.1 D
, pp. 167-191
-
-
Prasad, M.K.1
-
29
-
-
0001841091
-
Soliton equations as dynamical systems on infinite dimensional Grassmann manifolds
-
Sa
-
[Sa] M. Sato, Soliton equations as dynamical systems on infinite dimensional Grassmann manifolds, RIMS Kokyuroku, Kyoto Univ. 439, 30-46 (1981).
-
(1981)
RIMS Kokyuroku, Kyoto Univ.
, vol.439
, pp. 30-46
-
-
Sato, M.1
-
30
-
-
0002190849
-
Soliton equations as dynamical systems in an infinite dimensional Grassmann manifold
-
SS, P.D. Lax, H. Fujita and G. Strang (eds.), North-Holland, Amsterdam, and Kinokuniya, Tokyo
-
[SS] M. Sato and Y. Sato, Soliton equations as dynamical systems in an infinite dimensional Grassmann manifold, in Nonlinear Partial Differential Equations in Applied Sciences, P.D. Lax, H. Fujita and G. Strang (eds.), North-Holland, Amsterdam, and Kinokuniya, Tokyo (1982).
-
(1982)
Nonlinear Partial Differential Equations in Applied Sciences
-
-
Sato, M.1
Sato, Y.2
-
31
-
-
0011683302
-
Integrability of Chern-Simons-Higgs vortex equations and a reduction of the self-dual Yang-Mills equations to three dimensions
-
Sc, Painlevé Transcendents, D. Levi and P. Winternitz (eds.), Plenum Press, New York
-
[Sc] J. Schiff, Integrability of Chern-Simons-Higgs vortex equations and a reduction of the self-dual Yang-Mills equations to three dimensions, in Painlevé Transcendents, D. Levi and P. Winternitz (eds.), NATO ASI Series B, vol. 278, Plenum Press, New York (1992)
-
(1992)
NATO ASI Series B
, vol.278
-
-
Schiff, J.1
-
32
-
-
0011554359
-
A new family of integrable models in (2 + 1) dimensions associated with Hermitian symmetric spaces
-
St1
-
[St1] I.A.B. Strachan, A new family of integrable models in (2 + 1) dimensions associated with Hermitian symmetric spaces, J. Math. Phys. 33, 2477-2482 (1992).
-
(1992)
J. Math. Phys.
, vol.33
, pp. 2477-2482
-
-
Strachan, I.A.B.1
-
33
-
-
21144471020
-
Some integrable hierarchies in (2 + 1) dimensions and their twistor description
-
St2
-
[St2] I.A.B. Strachan, Some integrable hierarchies in (2 + 1) dimensions and their twistor description, J. Math. Phys. 34, 243-259 (1993).
-
(1993)
J. Math. Phys.
, vol.34
, pp. 243-259
-
-
Strachan, I.A.B.1
-
34
-
-
0032373423
-
Bilinear form approach to the self-dual Yang-Mills equations and integrable systems in (2 + 1)-dimension
-
SOM
-
[SOM] N. Sasa, Y. Ohta and J. Matsukidaira, Bilinear form approach to the self-dual Yang-Mills equations and integrable systems in (2 + 1)-dimension, J. Phys. Soc. Jpn. 67, 83-86 (1998).
-
(1998)
J. Phys. Soc. Jpn.
, vol.67
, pp. 83-86
-
-
Sasa, N.1
Ohta, Y.2
Matsukidaira, J.3
-
35
-
-
0011556516
-
A class of solutions to the self-dual Yang-Mills equations
-
T1
-
[T1] K. Takasaki, A class of solutions to the self-dual Yang-Mills equations, Proc. Japan. Acad. 59, Ser. A, 308-311 (1983).
-
(1983)
Proc. Japan. Acad. Ser. A
, vol.59
, pp. 308-311
-
-
Takasaki, K.1
-
36
-
-
0002364439
-
A new approach to the self-dual Yang-Mills equations
-
T2
-
[T2] K. Takasaki, A new approach to the self-dual Yang-Mills equations, Commun. Math. Phys. 94, 35-59 (1984).
-
(1984)
Commun. Math. Phys.
, vol.94
, pp. 35-59
-
-
Takasaki, K.1
-
37
-
-
0011683303
-
A new approach to the self-dual Yang-Mills equations II
-
T3
-
[T3] K. Takasaki, A new approach to the self-dual Yang-Mills equations II, Saitama Math. J. 3, 11-40 (1985).
-
(1985)
Saitama Math. J.
, vol.3
, pp. 11-40
-
-
Takasaki, K.1
-
38
-
-
0011621663
-
Hierarchy structure in integrable systems of gauge fields and underlying Lie algebras
-
T4
-
[T4] K. Takasaki, Hierarchy structure in integrable systems of gauge fields and underlying Lie algebras, Commun. Math. Phys. 127, 225-238 (1990).
-
(1990)
Commun. Math. Phys.
, vol.127
, pp. 225-238
-
-
Takasaki, K.1
-
39
-
-
0001254434
-
Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem
-
UN
-
[UN] K. Ueno and Y. Nakamura, Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem, Phys. Lett. 109B, 273-278 (1982).
-
(1982)
Phys. Lett.
, vol.109 B
, pp. 273-278
-
-
Ueno, K.1
Nakamura, Y.2
-
41
-
-
0011670387
-
Ansätze for self-dual Yang-Mills fields
-
W
-
[W] R.S. Ward, Ansätze for self-dual Yang-Mills fields, Commun. Math. Phys. 80, 563-574 (1981).
-
(1981)
Commun. Math. Phys.
, vol.80
, pp. 563-574
-
-
Ward, R.S.1
-
42
-
-
33744725021
-
Condition of self-duality for SU(2) gauge fields on Eudulidean four-dimensional space
-
Y
-
[Y] C.N. Yang, Condition of self-duality for SU(2) gauge fields on Eudulidean four-dimensional space, Phys. Rev. Lett. 38, 1377-1379 (1977).
-
(1977)
Phys. Rev. Lett.
, vol.38
, pp. 1377-1379
-
-
Yang, C.N.1
|