메뉴 건너뛰기




Volumn 32, Issue 4, 2000, Pages 397-430

Tau functions and the twistor theory of integrable systems

Author keywords

32L25; 32Q58; Dynamical systems; Integrable systems; Spinors and twistors; Tau functions; Twistor theory

Indexed keywords


EID: 0013001263     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(99)00038-8     Document Type: Article
Times cited : (15)

References (30)
  • 2
    • 34250120087 scopus 로고
    • Lie algebras and equations of Korteweg-de Vries type
    • Drinfel'd V.G., Sokolov V.V. Lie algebras and equations of Korteweg-de Vries type. J. Sov. Math. 30:1985;1975-2036.
    • (1985) J. Sov. Math. , vol.30 , pp. 1975-2036
    • Drinfel'D, V.G.1    Sokolov, V.V.2
  • 4
    • 36049055512 scopus 로고
    • New formulation of the axially symmetric gravitational field problem
    • Ernst F. New formulation of the axially symmetric gravitational field problem. Phys. Rev. 167:1968;1175-1178.
    • (1968) Phys. Rev. , vol.167 , pp. 1175-1178
    • Ernst, F.1
  • 5
    • 0003175067 scopus 로고
    • Twistor spaces, Einstein metrics and isomonodromic deformations
    • Hitchin N.J. Twistor spaces, Einstein metrics and isomonodromic deformations. J. Diff. Geom. 42:1995;30-112.
    • (1995) J. Diff. Geom. , vol.42 , pp. 30-112
    • Hitchin, N.J.1
  • 6
    • 49149137872 scopus 로고
    • Monodromy preserving deformations of linear ordinary differential equations with rational coefficients. I. General theory and τ-functions
    • Jimbo M., Miwa T., Ueno K. Monodromy preserving deformations of linear ordinary differential equations with rational coefficients. I. General theory and. τ -functions Physica D. 2:1981;306-352.
    • (1981) Physica D , vol.2 , pp. 306-352
    • Jimbo, M.1    Miwa, T.2    Ueno, K.3
  • 7
    • 49049148970 scopus 로고
    • Monodromy preserving deformations of linear ordinary differential equations with rational coefficients. II
    • Jimbo M., Miwa T. Monodromy preserving deformations of linear ordinary differential equations with rational coefficients. II. Physica D. 2:1981;407-448.
    • (1981) Physica D , vol.2 , pp. 407-448
    • Jimbo, M.1    Miwa, T.2
  • 8
    • 49049152822 scopus 로고
    • Monodromy preserving deformations of linear ordinary differential equations with rational coefficients. III
    • Jimbo M., Miwa T. Monodromy preserving deformations of linear ordinary differential equations with rational coefficients. III. Physica D. 4:1981;26-46.
    • (1981) Physica D , vol.4 , pp. 26-46
    • Jimbo, M.1    Miwa, T.2
  • 9
    • 84990709711 scopus 로고
    • The τ-function of the universal Whitham hierarchy, matrix models and topological field theories
    • Krichever I.M. The. τ -function of the universal Whitham hierarchy, matrix models and topological field theories Commun. Pure Appl. Math. 47:1984;437-475.
    • (1984) Commun. Pure Appl. Math. , vol.47 , pp. 437-475
    • Krichever, I.M.1
  • 10
    • 0000580644 scopus 로고
    • Sur les déformations isomonodromiques
    • B. Malgrange, Sur les déformations isomonodromiques, Séminaire de l'Ecole Norm. Sup., IV, 1982, pp. 401-426.
    • (1982) Séminaire de l'Ecole Norm. Sup. , vol.4 , pp. 401-426
    • Malgrange, B.1
  • 11
    • 0040603915 scopus 로고
    • The twistor theory of equations of KdV type. I
    • Mason L.J., Singer M.A. The twistor theory of equations of KdV type. I. Commun. Math. Phys. 166:1994;191-218.
    • (1994) Commun. Math. Phys. , vol.166 , pp. 191-218
    • Mason, L.J.1    Singer, M.A.2
  • 12
    • 33744756478 scopus 로고
    • Nonlinear Schrödinger and Korteweg de Vries are reductions of self-dual Yang-Mills
    • Mason L.J., Sparling G.A.J. Nonlinear Schrödinger and Korteweg de Vries are reductions of self-dual Yang-Mills. Phys. Lett. A137:1989;29-33.
    • (1989) Phys. Lett. , vol.137 , pp. 29-33
    • Mason, L.J.1    Sparling, G.A.J.2
  • 13
    • 0000485243 scopus 로고
    • Twistor correspondences for the soliton hierarchies
    • Mason L.J., Sparling G.A.J. Twistor correspondences for the soliton hierarchies. J. Geom. Phys. 8:1992;243-271.
    • (1992) J. Geom. Phys. , vol.8 , pp. 243-271
    • Mason, L.J.1    Sparling, G.A.J.2
  • 14
    • 84956260157 scopus 로고
    • The Geroch group and non-Hausdorff twistor spaces
    • Mason L.J., Woodhouse N.M.J. The Geroch group and non-Hausdorff twistor spaces. Nonlinearity. 1:1988;3-114.
    • (1988) Nonlinearity , vol.1 , pp. 3-114
    • Mason, L.J.1    Woodhouse, N.M.J.2
  • 16
    • 85008099446 scopus 로고
    • Painlevé property of the monodromy preserving deformation equations and the analyticity of τ functions
    • Miwa T. Painlevé property of the monodromy preserving deformation equations and the analyticity of. τ functions Publ. RIMS. Kyoto. 17:1981;703-721.
    • (1981) Publ. RIMS. Kyoto , vol.17 , pp. 703-721
    • Miwa, T.1
  • 17
    • 84972554199 scopus 로고
    • Tau functions for the Dirac operator in the Euclidean plane
    • Palmer J. Tau functions for the Dirac operator in the Euclidean plane. Pacific J. Math. 160:1983;259-342.
    • (1983) Pacific J. Math. , vol.160 , pp. 259-342
    • Palmer, J.1
  • 19
    • 11244319351 scopus 로고
    • Determinants of Cauchy-Riemann operators over a Riemann surface
    • Quillen D. Determinants of Cauchy-Riemann operators over a Riemann surface. Funct. Anal. Appl. 19:1985;37-41.
    • (1985) Funct. Anal. Appl. , vol.19 , pp. 37-41
    • Quillen, D.1
  • 22
    • 85008057903 scopus 로고
    • II-IV, Publ. RIMS, Kyoto 577-629, 871-972
    • M. Sato, T. Miwa, M. Jimbo, Holonomic quantum fields. II-IV, Publ. RIMS, Kyoto, 15 (1979) 201-267, 577-629, 871-972.
    • (1979) Holonomic Quantum Fields , vol.15 , pp. 201-267
    • Sato, M.1    Miwa, T.2    Jimbo, M.3
  • 25
    • 21844525065 scopus 로고
    • Symmetries and tau function of higher dimensional integrable hierarchies
    • Takasaki K. Symmetries and tau function of higher dimensional integrable hierarchies. J. Math. Phys. 36:1995;3574-3607.
    • (1995) J. Math. Phys. , vol.36 , pp. 3574-3607
    • Takasaki, K.1
  • 26
    • 0001312524 scopus 로고
    • Stationary axisymmetric space-times: A new approach
    • Ward R.S. Stationary axisymmetric space-times: a new approach. Gen. Rel. Grav. 15:1983;105-109.
    • (1983) Gen. Rel. Grav. , vol.15 , pp. 105-109
    • Ward, R.S.1
  • 27
    • 0001271827 scopus 로고
    • The Painlevé property for the self-dual gauge field equations
    • R.S. Ward, The Painlevé property for the self-dual gauge field equations, Phys. Lett. 102A (1984) 279-282.
    • (1984) Phys. Lett. , vol.102 A , pp. 279-282
    • Ward, R.S.1
  • 28
    • 0001437082 scopus 로고
    • Integrable and solvable systems and relations among them
    • Ward R.S. Integrable and solvable systems and relations among them. Phil. Trans. R. Soc. A. 315:1986;451-457.
    • (1986) Phil. Trans. R. Soc. a , vol.315 , pp. 451-457
    • Ward, R.S.1
  • 29
    • 0000116172 scopus 로고
    • Static axially symmetric solutions of self-dual SU(2) gauge fields in Euclidean four-dimensional space
    • Witten L. Static axially symmetric solutions of self-dual. SU(2) gauge fields in Euclidean four-dimensional space Phys. Rev. D. 19:1979;718-720.
    • (1979) Phys. Rev. D , vol.19 , pp. 718-720
    • Witten, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.