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Volumn 41, Issue 3, 1997, Pages 291-305

Darboux Coverings and Rational Reductions of the KP Hierarchy

Author keywords

Darboux transformation; KP hierarchy; Rational hierarchies

Indexed keywords


EID: 0040323873     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007315810243     Document Type: Article
Times cited : (8)

References (23)
  • 1
    • 0002548724 scopus 로고
    • Construction of KP hierarchies in terms of finite number of fields and their abelianization
    • Aratyn, H., Nissimov, E. and Pacheva, S.: Construction of KP hierarchies in terms of finite number of fields and their abelianization, Phys. Lett. B 314 (1993), 41-51.
    • (1993) Phys. Lett. B , vol.314 , pp. 41-51
    • Aratyn, H.1    Nissimov, E.2    Pacheva, S.3
  • 2
    • 0011649973 scopus 로고
    • Two-matrix string model as constrained (2 + 1)-dimensional integrable system
    • Aratyn, H., Nissimov, E., Pacheva, S. and Zimerman, A. H.: Two-matrix string model as constrained (2 + 1)-dimensional integrable system, Phys. Lett. B 341 (1994), 19-30.
    • (1994) Phys. Lett. B , vol.341 , pp. 19-30
    • Aratyn, H.1    Nissimov, E.2    Pacheva, S.3    Zimerman, A.H.4
  • 3
    • 0039023123 scopus 로고    scopus 로고
    • Lectures at VIII J.A. Swieca Summer School, Section: Particles and Fields, Rio de Janeiro, Brazil, February/95; LANL preprint, hepth/9503211
    • Aratyn, H.: Integrable Lax hierarchies, their symmetry reductions and multi-matrix models. Lectures at VIII J.A. Swieca Summer School, Section: Particles and Fields, Rio de Janeiro, Brazil, February/95; LANL preprint, hepth/9503211.
    • Integrable Lax Hierarchies, Their Symmetry Reductions and Multi-matrix Models
    • Aratyn, H.1
  • 4
    • 0030540080 scopus 로고    scopus 로고
    • The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated W-algebra
    • Bonora, L., Liu, Q. P. and Xiong, C. S.: The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated W-algebra, Comm. Math. Phys. 175 (1996), 177-202.
    • (1996) Comm. Math. Phys. , vol.175 , pp. 177-202
    • Bonora, L.1    Liu, Q.P.2    Xiong, C.S.3
  • 5
    • 21844516299 scopus 로고
    • The (N-th,M-th) KdV hierarchy and the associated W algebra
    • Bonora, L. and Xiong, C. S.: The (N-th,M-th) KdV hierarchy and the associated W algebra, J. Math. Phys. 35 (1994), 5781-5819.
    • (1994) J. Math. Phys. , vol.35 , pp. 5781-5819
    • Bonora, L.1    Xiong, C.S.2
  • 6
    • 0003488460 scopus 로고
    • Adv. Series in Math. Phys. World Scientific, Singapore
    • Bouwknegt, P. et al. (eds): W-Symmetry, Adv. Series in Math. Phys. 20, World Scientific, Singapore, 1995.
    • (1995) W-Symmetry , vol.20
    • Bouwknegt, P.1
  • 10
    • 0000502529 scopus 로고
    • Constraints of the 2 + 1 dimensional integrable soliton systems
    • Cheng, Y. and Li, Y.-S.: Constraints of the 2 + 1 dimensional integrable soliton systems, J. Phys. A: Math. Gen. 25 (1992), 419-431.
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 419-431
    • Cheng, Y.1    Li, Y.-S.2
  • 11
    • 0039910353 scopus 로고
    • Differential equations for the Baker Akhiezer functions of Algebraic curves
    • Cherednik, I. V.: Differential equations for the Baker Akhiezer functions of Algebraic curves, Funct. Anal. Appl. 10 (1978), 195-203.
    • (1978) Funct. Anal. Appl. , vol.10 , pp. 195-203
    • Cherednik, I.V.1
  • 14
    • 0000951570 scopus 로고
    • On the constrained KP Hierarchy I
    • LANL preprint, hep-th/9407038; II. LANL preprint, hep-th/9411005 II. An additional remark, LANL preprint, hep-th/9511157
    • Dickey, L. A.: On the constrained KP Hierarchy I, LANL preprint, hep-th/9407038; II. LANL preprint, hep-th/9411005 and Lett. Math. Phys. 35 (1995), 229-236; II. An additional remark, LANL preprint, hep-th/9511157.
    • (1995) Lett. Math. Phys. , vol.35 , pp. 229-236
    • Dickey, L.A.1
  • 15
    • 34250120087 scopus 로고
    • Lie Algebras and Equations of Korteweg-de Vries Type
    • Drinfeld, V. G. and Sokolov, V. V.: Lie Algebras and Equations of Korteweg-de Vries Type, J. Soviet Math. 30 (1985), 1975-2036.
    • (1985) J. Soviet Math. , vol.30 , pp. 1975-2036
    • Drinfeld, V.G.1    Sokolov, V.V.2
  • 16
    • 0001267554 scopus 로고
    • On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems
    • Konopelchenko, B. G.: On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems, Phys. Lett. A 92 (1982), 323-327.
    • (1982) Phys. Lett. A , vol.92 , pp. 323-327
    • Konopelchenko, B.G.1
  • 17
    • 21144459129 scopus 로고
    • New reductions of the KP and 2DTL via symmetry constraints
    • Konopelchenko, B. G. and Strampp, W: New reductions of the KP and 2DTL via symmetry constraints, J. Math. Phys. 33 (1992), 3676-3688.
    • (1992) J. Math. Phys. , vol.33 , pp. 3676-3688
    • Konopelchenko, B.G.1    Strampp, W.2
  • 18
    • 21844492670 scopus 로고
    • General rational reductions of the KP hierarchy and their symmetries
    • Krichever, I. M.: General rational reductions of the KP hierarchy and their symmetries, Funct. Anal. Appl. 29 (1995), 75-80.
    • (1995) Funct. Anal. Appl. , vol.29 , pp. 75-80
    • Krichever, I.M.1
  • 19
    • 21844481907 scopus 로고
    • Canonical property of the Miura maps between the mKP and KP hierarchies, continuous and discrete
    • Kupershmidt, B. A.: Canonical property of the Miura maps between the mKP and KP hierarchies, continuous and discrete, Comm. Math. Phys. 167 (1995), 351-371.
    • (1995) Comm. Math. Phys. , vol.167 , pp. 351-371
    • Kupershmidt, B.A.1
  • 21
    • 21344479834 scopus 로고
    • Constrained KP hierarchy and bi-hamiltonian structures
    • Oevel, W. and Strampp, W.: Constrained KP hierarchy and bi-hamiltonian structures, Comm. Math. Phys. 157 (1993), 51-81.
    • (1993) Comm. Math. Phys. , vol.157 , pp. 51-81
    • Oevel, W.1    Strampp, W.2
  • 22
    • 0009145135 scopus 로고
    • Additional symmetries for integrable and conformal algebra representation
    • Orlov, A. Y. and Schulman, E. I.: Additional symmetries for integrable and conformal algebra representation, Lett. Math. Phys. 12 (1991), 171-179.
    • (1991) Lett. Math. Phys. , vol.12 , pp. 171-179
    • Orlov, A.Y.1    Schulman, E.I.2
  • 23
    • 0002874030 scopus 로고    scopus 로고
    • On Segal-Wilson construction for the τ-functions of the constrained KP hierarchies
    • Zhang, Y.: On Segal-Wilson construction for the τ-functions of the constrained KP hierarchies, Lett. Math. Phys. 36 (1996), 1-15.
    • (1996) Lett. Math. Phys. , vol.36 , pp. 1-15
    • Zhang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.