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Volumn 179, Issue 1, 1996, Pages 1-9

Fredholm determinants and the mKdV/ Zinh-Gordon hierarchies

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EID: 0030556189     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02103713     Document Type: Article
Times cited : (46)

References (20)
  • 1
    • 34250282189 scopus 로고
    • On a class of polynomials connected with the KdV equation
    • Adler, M., Moser, J.: On a class of polynomials connected with the KdV equation. Commun. Math. Phys. 61, 1-30 (1978)
    • (1978) Commun. Math. Phys. , vol.61 , pp. 1-30
    • Adler, M.1    Moser, J.2
  • 2
    • 0000993757 scopus 로고
    • Differential equations for sine-gordon correlation functions at the free fermion point
    • FS
    • Bernard, D., LeClair, A.: Differential equations for Sine-Gordon correlation functions at the free fermion point. Nucl. Phys. B426 [FS], 534-558 (1994)
    • (1994) Nucl. Phys. , vol.B426 , pp. 534-558
    • Bernard, D.1    LeClair, A.2
  • 4
    • 2342488264 scopus 로고
    • Density matrix of an impenetrable bose gas and the fifth painlevé transcendent
    • Jimbo, M., Miwa, T., Môri, Y., Sato, M.: Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Physica 1D, 80-158 (1980)
    • (1980) Physica , vol.1 D , pp. 80-158
    • Jimbo, M.1    Miwa, T.2    Môri, Y.3    Sato, M.4
  • 6
    • 0001795851 scopus 로고
    • Spin systems, statistical mechanics and painlevé functions
    • Levi, D., Winternitz, P. (eds.) New York: Plenum Press
    • McCoy, B.M.: Spin systems, statistical mechanics and Painlevé functions. In: Levi, D., Winternitz, P. (eds.) Painlevé Transcendents: Their Asymptotics and Physical Applications. New York: Plenum Press, 1992, pp. 377-391
    • (1992) Painlevé Transcendents: Their Asymptotics and Physical Applications , pp. 377-391
    • McCoy, B.M.1
  • 7
    • 36749106034 scopus 로고
    • Painlevé functions of the third kind
    • McCoy, B.M., Tracy, C.A., Wu, T.T.: Painlevé functions of the third kind. J. Math. Phys. 18, 1058-1092 (1977)
    • (1977) J. Math. Phys. , vol.18 , pp. 1058-1092
    • McCoy, B.M.1    Tracy, C.A.2    Wu, T.T.3
  • 8
    • 0039259620 scopus 로고
    • On some linear integral equations generating solutions of nonlinear partial differential equations
    • Nijhoff, F.W., Quispel, G.R.W., Van der Linden, J., Capel, H.W.: On some linear integral equations generating solutions of nonlinear partial differential equations. Physica 119A, 101-142 (1983)
    • (1983) Physica , vol.119 A , pp. 101-142
    • Nijhoff, F.W.1    Quispel, G.R.W.2    Van Der Linden, J.3    Capel, H.W.4
  • 9
    • 0039851368 scopus 로고
    • Linear integral transformations and hierarchies of integrable nonlinear evolution equations
    • Nijhoff, F.W.: Linear integral transformations and hierarchies of integrable nonlinear evolution equations. Physica D31 339-388 (1988)
    • (1988) Physica , vol.D31 , pp. 339-388
    • Nijhoff, F.W.1
  • 10
  • 11
    • 48549114585 scopus 로고
    • Linear integral equations and nonlinear difference-difference equations
    • Quispel, G.R.W., Nijhoff, F.W., Capel, H.W., Van der Linden, J.: Linear integral equations and nonlinear difference-difference equations. Physica 125A, 344-380 (1984)
    • (1984) Physica , vol.125 A , pp. 344-380
    • Quispel, G.R.W.1    Nijhoff, F.W.2    Capel, H.W.3    Van Der Linden, J.4
  • 12
    • 85008290297 scopus 로고
    • Publ. RIMS, Kyoto Univ.
    • Sato, M., Miwa, T., Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223-267 (1978); 15, 201-278 (1979); 15, 577-629 (1979); 15, 871-972 (1979); 16, 531-584 (1980)
    • (1978) Holonomic Quantum Fields , vol.14 , pp. 223-267
    • Sato, M.1    Miwa, T.2    Jimbo, M.3
  • 13
    • 85008290297 scopus 로고
    • Sato, M., Miwa, T., Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223-267 (1978); 15, 201-278 (1979); 15, 577-629 (1979); 15, 871-972 (1979); 16, 531-584 (1980)
    • (1979) Holonomic Quantum Fields , vol.15 , pp. 201-278
  • 14
    • 85008290297 scopus 로고
    • Sato, M., Miwa, T., Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223-267 (1978); 15, 201-278 (1979); 15, 577-629 (1979); 15, 871-972 (1979); 16, 531-584 (1980)
    • (1979) Holonomic Quantum Fields , vol.15 , pp. 577-629
  • 15
    • 85008290297 scopus 로고
    • Sato, M., Miwa, T., Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223-267 (1978); 15, 201-278 (1979); 15, 577-629 (1979); 15, 871-972 (1979); 16, 531-584 (1980)
    • (1979) Holonomic Quantum Fields , vol.15 , pp. 871-972
  • 16
    • 85008290297 scopus 로고
    • Sato, M., Miwa, T., Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223-267 (1978); 15, 201-278 (1979); 15, 577-629 (1979); 15, 871-972 (1979); 16, 531-584 (1980)
    • (1980) Holonomic Quantum Fields , vol.16 , pp. 531-584
  • 17
    • 0003025563 scopus 로고
    • Fredholm determinants, differential equations and matrix models
    • Tracy, C.A., Widom, H.: Fredholm determinants, differential equations and matrix models. Commun. Math. Phys. 163, 33-72 (1994)
    • (1994) Commun. Math. Phys. , vol.163 , pp. 33-72
    • Tracy, C.A.1    Widom, H.2
  • 18
    • 0013306716 scopus 로고
    • Systems of partial differential equations for a class of operator determinants
    • Tracy, C.A., Widom, H.: Systems of partial differential equations for a class of operator determinants. Operator Theory: Adv. and Appls. 78, 381-388 (1995)
    • (1995) Operator Theory: Adv. and Appls. , vol.78 , pp. 381-388
    • Tracy, C.A.1    Widom, H.2
  • 19
    • 0000715867 scopus 로고
    • Spin-spin correlation functions of the two-dimensional ising model: Exact theory in the scaling region
    • Wu, T.T., McCoy, B.M., Tracy, C.A., Barouch, E.: Spin-spin correlation functions of the two-dimensional Ising model: Exact theory in the scaling region. Phys. Rev. B13, 316-374 (1976)
    • (1976) Phys. Rev. , vol.B13 , pp. 316-374
    • Wu, T.T.1    McCoy, B.M.2    Tracy, C.A.3    Barouch, E.4
  • 20
    • 0010990808 scopus 로고
    • Painlevé III and 2D polymers
    • FS
    • Zamolodchikov, Al.B.: Painlevé III and 2D polymers. Nucl. Phys. B432[FS], 427-456 (1994)
    • (1994) Nucl. Phys. , vol.B432 , pp. 427-456
    • Zamolodchikov, Al.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.