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Volumn 72, Issue 3, 2005, Pages 165-181

Q-analogue of modified KP hierarchy and its quasi-classical limit

Author keywords

q analogue; Quasi classical limit; Soliton equation

Indexed keywords


EID: 23944448328     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-005-6782-5     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 0040188983 scopus 로고
    • q-difference version of the two-dimensional Toda lattice equation
    • Kajiwara, K. and Satsuma, J.: q-difference version of the two-dimensional Toda lattice equation, J. Phys. Soc. Japan 60 (1991), 3986-3989.
    • (1991) J. Phys. Soc. Japan , vol.60 , pp. 3986-3989
    • Kajiwara, K.1    Satsuma, J.2
  • 2
    • 23944498262 scopus 로고
    • On a c-number quantum τ-function
    • Mironov, A., Morozov, A. and Vinet, L.: On a c-number quantum τ-function, Teor. Mat. Fiz. 100 (1994), 119-131.
    • (1994) Teor. Mat. Fiz. , vol.100 , pp. 119-131
    • Mironov, A.1    Morozov, A.2    Vinet, L.3
  • 3
    • 36149034593 scopus 로고
    • Quantum deformation of KdV hierarchies and their exact solutios: Q-deformed solitons
    • Wu, Z. Y. Zhang, D. H. and Zheng, Q. R.: Quantum deformation of KdV hierarchies and their exact solutios: q-deformed solitons, J. Phys. A: Math. Gen. 27 (1994), 5307-5312.
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 5307-5312
    • Wu, Z.Y.1    Zhang, D.H.2    Zheng, Q.R.3
  • 4
    • 1842453908 scopus 로고    scopus 로고
    • Deformations of the KdV hierarchy and related soliton equations
    • Frenkel, E.: Deformations of the KdV hierarchy and related soliton equations, Int. Math. Res. Notices 2 (1996), 55-76.
    • (1996) Int. Math. Res. Notices , vol.2 , pp. 55-76
    • Frenkel, E.1
  • 5
    • 0030697545 scopus 로고    scopus 로고
    • Extensions and contractions of the Lie algebra of q-pseudodifferential symbols on the circle
    • Khesin, B., Lyubashenko, V. and Roger, C.: Extensions and contractions of the Lie algebra of q-pseudodifferential symbols on the circle, J. Funct. Anal. 143 (1997), 55-97.
    • (1997) J. Funct. Anal. , vol.143 , pp. 55-97
    • Khesin, B.1    Lyubashenko, V.2    Roger, C.3
  • 7
    • 0043125103 scopus 로고    scopus 로고
    • The solution to the q-KdV equation
    • Adler, M., Horozov, E. and van Moerbeke, P.: The solution to the q-KdV equation, Phys. Lett. A242 (1998), 139-151.
    • (1998) Phys. Lett. , vol.A242 , pp. 139-151
    • Adler, M.1    Horozov, E.2    Van Moerbeke, P.3
  • 8
    • 0031582790 scopus 로고    scopus 로고
    • The bispectral property of a q-deformation of the Schur polynomials and the q-KdV hierarchy
    • Haine, L. and Iliev, P.: The bispectral property of a q-deformation of the Schur polynomials and the q-KdV hierarchy, J. Phys. A: Math. Gen. 30 (1997), 7217-7227.
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 7217-7227
    • Haine, L.1    Iliev, P.2
  • 9
    • 0000510464 scopus 로고    scopus 로고
    • Tau function to a q-deformation of the KP hierarchy
    • Iliev, P.: Tau function to a q-deformation of the KP hierarchy, Lett. Math. Phys. 44 (1998), 187-200.
    • (1998) Lett. Math. Phys. , vol.44 , pp. 187-200
    • Iliev, P.1
  • 10
    • 0040435811 scopus 로고    scopus 로고
    • Q-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations
    • Tu, M. H.: q-deformed KP hierarchy: its additional symmetries and infinitesimal Bäcklund transformations, Lett. Math. Phys. 49 (1999), 95-103.
    • (1999) Lett. Math. Phys. , vol.49 , pp. 95-103
    • Tu, M.H.1
  • 11
    • 0040219459 scopus 로고
    • Transformation groups for soliton equations I: The τ function of the Kadomtsev-Petviashvili equation
    • Kashiwara, M. and Miwa, T.: Transformation groups for soliton equations I: The τ function of the Kadomtsev-Petviashvili equation, Proc. Japan Acad. Ser. A, Math. Sci., 57 (1981), 342-347.
    • (1981) Proc. Japan Acad. Ser. A, Math. Sci. , vol.57 , pp. 342-347
    • Kashiwara, M.1    Miwa, T.2
  • 12
    • 0001519224 scopus 로고
    • Transformation groups for soliton equations III: Operator approach to the Kadomtsev-Petviashvili equations
    • Date, E. Jimbo, M. Kashiwara, M. and Miwa, T.: Transformation groups for soliton equations III: Operator approach to the Kadomtsev-Petviashvili equations, J. Phys. Soc. Japan 50 (1981), 3806-3812.
    • (1981) J. Phys. Soc. Japan , vol.50 , pp. 3806-3812
    • Date, E.1    Jimbo, M.2    Kashiwara, M.3    Miwa, T.4
  • 14
    • 0001354012 scopus 로고
    • Quasi-classical limit of Toda hierarchy and W-infinity symmetries
    • Takasaki, K. and Takebe, T.: Quasi-classical limit of Toda hierarchy and W-infinity symmetries, Lett. Math. Phys. 28 (1993), 165-176.
    • (1993) Lett. Math. Phys. , vol.28 , pp. 165-176
    • Takasaki, K.1    Takebe, T.2
  • 15
    • 0010138639 scopus 로고
    • SDiff(2) Toda equation - Hierarchy, tau function and symmetries
    • Takasaki, K. and Takebe, T.: SDiff(2) Toda equation - hierarchy, tau function and symmetries, Lett. Math. Phys. 23 (1991), 205-214.
    • (1991) Lett. Math. Phys. , vol.23 , pp. 205-214
    • Takasaki, K.1    Takebe, T.2
  • 16
    • 0000825878 scopus 로고    scopus 로고
    • On the geometry of Darboux transformations of the KP hierarchy and its connection with the discrete KP hierarchy
    • Magri, F. Pedroni, M. and Zubelli, J. P.: On the geometry of Darboux transformations of the KP hierarchy and its connection with the discrete KP hierarchy, Commun. Math. Phys. 188 (1997), 305-325.
    • (1997) Commun. Math. Phys. , vol.188 , pp. 305-325
    • Magri, F.1    Pedroni, M.2    Zubelli, J.P.3
  • 18
    • 0001353545 scopus 로고    scopus 로고
    • Modified KP and discrete KP
    • Dickey, L. A.: Modified KP and discrete KP, Lett. Math. Phys. 48 (1999), 277-289.
    • (1999) Lett. Math. Phys. , vol.48 , pp. 277-289
    • Dickey, L.A.1
  • 19
    • 0042414991 scopus 로고    scopus 로고
    • A note on the modified KP hierarchy and its (yet another) dispersionless limit
    • Takebe, T.: A note on the modified KP hierarchy and its (yet another) dispersionless limit, Lett. Math. Phys. 59 (2002), 157-172.
    • (2002) Lett. Math. Phys. , vol.59 , pp. 157-172
    • Takebe, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.