메뉴 건너뛰기




Volumn 35, Issue 31, 2002, Pages

Singular sector of the Burgers-Hopf hierarchy and deformations of hyperelliptic curves

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037047565     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/31/104     Document Type: Article
Times cited : (34)

References (24)
  • 1
    • 0001837575 scopus 로고
    • Limit matrices for the toda flow and periodic flags for loop groups
    • Adler M, Haine L and van Moerbeke P 1993 Limit matrices for the Toda flow and periodic flags for loop groups Math. Ann. 296 1-33
    • (1993) Math. Ann. , vol.296 , pp. 1-33
    • Adler, M.1    Haine, L.2    Van Moerbeke, P.3
  • 2
    • 0000903147 scopus 로고
    • The toda lattice, Dynkin diagrams, singularities and Abelian varieties
    • Adler M and van Moerbeke P 1991 The Toda lattice, Dynkin diagrams, singularities and Abelian varieties Invent. Math. 103 223-78
    • (1991) Invent. Math. , vol.103 , pp. 223-278
    • Adler, M.1    Van Moerbeke, P.2
  • 3
    • 0003123965 scopus 로고
    • Birkhoff strata, bäcklund transformations and regularization of isospectral operators
    • Adler M and van Moerbeke P 1994 Birkhoff strata, bäcklund transformations and regularization of isospectral operators Adv. Math. 108 140-204
    • (1994) Adv. Math. , vol.108 , pp. 140-204
    • Adler, M.1    Van Moerbeke, P.2
  • 4
    • 0000655552 scopus 로고    scopus 로고
    • Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP theory
    • Aoyama S and Kodama Y 1996 Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP theory Commun. Math. Phys. 182 185-219
    • (1996) Commun. Math. Phys. , vol.182 , pp. 185-219
    • Aoyama, S.1    Kodama, Y.2
  • 7
    • 0004265556 scopus 로고    scopus 로고
    • at press
    • Casian L and Kodama Y 2002 Blow ups of the Toda lattices and their intersections with the Bruhat cells Preprint nlin.Sl/0205013 (2002 Contemp. Math. at press)
    • (2002) Contemp. Math.
  • 8
    • 0000818276 scopus 로고
    • Mean field theory, topological field theory and multi-matrix models
    • Dijkgraaf R and Witten E 1990 Mean field theory, topological field theory and multi-matrix models Nucl. Phys. B 342 486-522
    • (1990) Nucl. Phys. B , vol.342 , pp. 486-522
    • Dijkgraaf, R.1    Witten, E.2
  • 9
    • 0032276702 scopus 로고    scopus 로고
    • Bi-Hamiltonian hierarchy in 2D topological field theory at one-loop approximation
    • Dubrovin B and Zhang Y 1998 Bi-Hamiltonian hierarchy in 2D topological field theory at one-loop approximation Commun. Math. Phys. 198 311-61
    • (1998) Commun. Math. Phys. , vol.198 , pp. 311-361
    • Dubrovin, B.1    Zhang, Y.2
  • 10
    • 0002379586 scopus 로고
    • Quasiclassical limit of coupled KdV equations, Riemann invariants and multi-Hamiltonian structure
    • Ferapontov E V and Pavlov M V 1991 Quasiclassical limit of coupled KdV equations, Riemann invariants and multi-Hamiltonian structure Physica D 52 211-9
    • (1991) Physica D , vol.52 , pp. 211-219
    • Ferapontov, E.V.1    Pavlov, M.V.2
  • 11
    • 84980178052 scopus 로고
    • Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation
    • Flaschka H, Forest M G and McLaughlin D W 1980 Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation Commun. Pure Appl. Math. 33 739-84
    • (1980) Commun. Pure Appl. Math. , vol.33 , pp. 739-784
    • Flaschka, H.1    Forest, M.G.2    McLaughlin, D.W.3
  • 12
    • 51249173283 scopus 로고    scopus 로고
    • Varietes de drapeaux et reseaux de toda
    • Flaschka H and Haine L Varietes de drapeaux et reseaux de Toda Math. Z. 208 545-56
    • Math. Z. , vol.208 , pp. 545-556
    • Flaschka, H.1    Haine, L.2
  • 13
    • 34250384767 scopus 로고
    • Nonlinear evolution equations associated with 'energy-dependent schrödinger potentials'
    • Jaulent M and Miodek Y 1975/77 Nonlinear evolution equations associated with 'energy-dependent Schrödinger potentials' Lett. Math. Phys. 1 243-50
    • (1975) Lett. Math. Phys. , vol.1 , pp. 243-250
    • Jaulent, M.1    Miodek, Y.2
  • 14
    • 0001470179 scopus 로고
    • A method for solving the dispersionless KP hierarchy and its exact solutions II
    • Kodama Y and Gibbons J 1989 A method for solving the dispersionless KP hierarchy and its exact solutions II Phys. Lett. 135 167-70
    • (1989) Phys. Lett. , vol.135 , pp. 167-170
    • Kodama, Y.1    Gibbons, J.2
  • 15
    • 0042413108 scopus 로고    scopus 로고
    • Dispersionless integrable systems and their solutions
    • ed H W Branden and I M Krichever (Amsterdam: Gordon and Breach)
    • Kodama Y 2000 Dispersionless integrable systems and their solutions Integrability: Seiberg-Witten and Whitham Equations ed H W Branden and I M Krichever (Amsterdam: Gordon and Breach) pp 199-212
    • (2000) Integrability: Seiberg-Witten and Whitham Equations , pp. 199-212
    • Kodama, Y.1
  • 17
    • 0034342210 scopus 로고    scopus 로고
    • Singular sector of the Kadomtsev-Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems
    • Konopelchenko B G, Martinez Alonso L and Medina E 2000 Singular sector of the Kadomtsev-Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems J. Math. Phys. 41 385-413
    • (2000) J. Math. Phys. , vol.41 , pp. 385-413
    • Konopelchenko, B.G.1    Alonso, L.M.2    Medina, E.3
  • 20
    • 0009893882 scopus 로고    scopus 로고
    • Zero sets of τ-functions and hidden hierarchies of KdV type
    • Manas M, Martinez Alonso L and Medina E 1997 Zero sets of τ-functions and hidden hierarchies of KdV type J. Phys. A: Math. Gen. 30 4815-24
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 4815-4824
    • Manas, M.1    Alonso, L.M.2    Medina, E.3
  • 21
    • 36749112982 scopus 로고
    • Schrödinger spectral problems with energy-dependent potentials as sources of nonlinear Hamiltonian evolution equations
    • Martinez Alonso L 1980 Schrödinger spectral problems with energy-dependent potentials as sources of nonlinear Hamiltonian evolution equations J. Math. Phys. 21 2342-9
    • (1980) J. Math. Phys. , vol.21 , pp. 2342-2349
    • Alonso, L.M.1
  • 23
    • 0003301469 scopus 로고    scopus 로고
    • Integrable systems in the realm of algebraic geometry
    • Berlin: Springer
    • Vanhaecke P 2001 Integrable systems in the realm of algebraic geometry Lecture Notes in Mathematics 2nd edn vol 1638 (Berlin: Springer)
    • (2001) Lecture Notes in Mathematics 2nd Edn , vol.1638
    • Vanhaecke, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.