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Volumn 39, Issue 30, 2006, Pages 9411-9435

The extended bigraded Toda hierarchy

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EID: 33746155022     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/30/003     Document Type: Article
Times cited : (96)

References (24)
  • 1
    • 21844491841 scopus 로고
    • R-matrix approach to lattice integrable systems
    • Błaszak M and Marciniak K 1994 R-matrix approach to lattice integrable systems J. Math. Phys. 35 4661-82
    • (1994) J. Math. Phys. , vol.35 , Issue.9 , pp. 4661-4682
    • Błaszak, M.1    Marciniak, K.2
  • 2
    • 33746107426 scopus 로고    scopus 로고
    • Carlet G 2003 Extended Toda hierarchy and its Hamiltonian structure PhD Thesis SISSA, Trieste
    • (2003) PhD Thesis
    • Carlet, G.1
  • 3
    • 18244407032 scopus 로고    scopus 로고
    • The Hamiltonian structures of the two-dimensional Toda lattice and R-matrices
    • Carlet G 2005 The Hamiltonian structures of the two-dimensional Toda lattice and R-matrices Lett. Math. Phys. 71 209-26
    • (2005) Lett. Math. Phys. , vol.71 , Issue.3 , pp. 209-226
    • Carlet, G.1
  • 6
    • 0000644797 scopus 로고    scopus 로고
    • Geometry of 2D topological field theories
    • Dubrovin B 1996 Geometry of 2D topological field theories Integrable Systems and Quantum Groups (Montecatini Terme, 1993) (Lecture Notes in Math. vol 1620) (Berlin: Springer) pp 120-348
    • (1996) Integrable Systems and Quantum Groups , pp. 120-348
    • Dubrovin, B.1
  • 7
    • 0006148220 scopus 로고    scopus 로고
    • Flat pencils of metrics and Frobenius manifolds
    • Dubrovin B 1998 Flat pencils of metrics and Frobenius manifolds Integrable Systems and Algebraic Geometry (Kobe/Kyoto, 1997) (River Edge, NJ: World Scientific) pp 47-72
    • (1998) Integrable Systems and Algebraic Geometry , pp. 47-72
    • Dubrovin, B.1
  • 8
    • 0003035782 scopus 로고
    • Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
    • Dubrovin B A and Novikov S P 1989 Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory Usp. Mat. Nauk 44 29-98 (Russian)
    • (1989) Usp. Mat. Nauk , vol.44 , pp. 29-98
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 9
    • 0003035782 scopus 로고
    • Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
    • Dubrovin B A and Novikov S P 1989 Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory Usp. Mat. Nauk 44 203 (Russian)
    • (1989) Usp. Mat. Nauk , vol.44 , pp. 203
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 10
    • 0347767249 scopus 로고
    • Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
    • Dubrovin B A and Novikov S P 1989 Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory Math. Surv. 44 35-124 (Engl. Transl.)
    • (1989) Math. Surv. , vol.44 , Issue.6 , pp. 35-124
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 11
    • 0000322926 scopus 로고    scopus 로고
    • Extended affine Weyl groups and Frobenius manifolds
    • Dubrovin B and Zhang Y 1998 Extended affine Weyl groups and Frobenius manifolds Compos. Math. 111 167-219
    • (1998) Compos. Math. , vol.111 , Issue.2 , pp. 167-219
    • Dubrovin, B.1    Zhang, Y.2
  • 13
    • 4744344138 scopus 로고    scopus 로고
    • Virasoro symmetries of the extended Toda hierarchy
    • Dubrovin B and Zhang Y 2004 Virasoro symmetries of the extended Toda hierarchy Commun. Math. Phys. 250 161-93
    • (2004) Commun. Math. Phys. , vol.250 , Issue.1 , pp. 161-193
    • Dubrovin, B.1    Zhang, Y.2
  • 14
    • 0011554988 scopus 로고
    • 1 model and the large-N matrix integral
    • 1 model and the large-N matrix integral Mod. Phys. Lett. A 9 2893-902
    • (1994) Mod. Phys. Lett. , vol.9 , Issue.31 , pp. 2893-2902
    • Eguchi, T.1    Yang, S.-K.2
  • 15
    • 1842453908 scopus 로고    scopus 로고
    • Deformations of the KdV hierarchy and related soliton equations
    • Frenkel E 1996 Deformations of the KdV hierarchy and related soliton equations Int. Math. Res. Not. 55-76
    • (1996) Int. Math. Res. Not. , pp. 55-76
    • Frenkel, E.1
  • 16
    • 0001465936 scopus 로고    scopus 로고
    • Quantum affine algebras and deformations of the Virasoro and W-algebras
    • Frenkel E and Reshetikhin N 1996 Quantum affine algebras and deformations of the Virasoro and W-algebras Commun. Math. Phys. 178 237-64
    • (1996) Commun. Math. Phys. , vol.178 , Issue.1 , pp. 237-264
    • Frenkel, E.1    Reshetikhin, N.2
  • 18
    • 0002506343 scopus 로고
    • Discrete Lax equations and differential-difference calculus
    • Kuperschmidt B A 1985 Discrete Lax equations and differential-difference calculus Asterisque 123 212
    • (1985) Asterisque , vol.123 , pp. 212
    • Kuperschmidt, B.A.1
  • 19
    • 0001306018 scopus 로고
    • Nonlinear Poisson structures and r-matrices
    • Li L C and Parmentier S 1989 Nonlinear Poisson structures and r-matrices Commun. Math. Phys. 125 545-63
    • (1989) Commun. Math. Phys. , vol.125 , Issue.4 , pp. 545-563
    • Li, L.C.1    Parmentier, S.2
  • 22
    • 45349110226 scopus 로고
    • R-matrices and higher Poisson brackets for integrable systems
    • Oevel W and Ragnisco O 1989 R-matrices and higher Poisson brackets for integrable systems Phys. A 161 181-220
    • (1989) Phys. , vol.161 , pp. 181-220
    • Oevel, W.1    Ragnisco, O.2
  • 23
    • 77955874103 scopus 로고
    • Wave propagation in anharmonic lattices
    • Toda M 1967 Wave propagation in anharmonic lattices J. Phys. Soc. Japan 23 501-6
    • (1967) J. Phys. Soc. Japan , vol.23 , pp. 501-506
    • Toda, M.1
  • 24
    • 0346532050 scopus 로고    scopus 로고
    • 1 topological sigma model and the Toda lattice hierarchy
    • 1 topological sigma model and the Toda lattice hierarchy J. Geom. Phys. 40 215-32
    • (2002) J. Geom. Phys. , vol.40 , Issue.3-4 , pp. 215-232
    • Zhang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.