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Volumn 15, Issue 8, 2002, Pages 987-993

Soliton solutions and bäcklund transformation for the kupershmidt five-field lattice: A bilinear approach

Author keywords

Backlund transformations; Hirota's method; Integrable lattices; Solitons

Indexed keywords


EID: 31244438531     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(02)00074-5     Document Type: Article
Times cited : (33)

References (9)
  • 1
    • 0002506343 scopus 로고
    • Discrete Lax equations and differential-difference calculus
    • B.A. Kupershmidt, Discrete Lax equations and differential-difference calculus, Astérisque (123), 212, (1985).
    • (1985) Astérisque , Issue.123 , pp. 212
    • Kupershmidt, B.A.1
  • 2
    • 21844491841 scopus 로고
    • R-matrix approach to lattice integrable systems
    • M. Blaszak and K. Marciniak, r-matrix approach to lattice integrable systems, J. Math. Phys. 35, 4661-4682, (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 4661-4682
    • Blaszak, M.1    Marciniak, K.2
  • 3
    • 0032337305 scopus 로고    scopus 로고
    • Some new results on the Blaszak-Marciniak lattice: Bäcklund transformation and nonlinear superposition formula
    • X.B. Hu and Z.N. Zhu, Some new results on the Blaszak-Marciniak lattice: Bäcklund transformation and nonlinear superposition formula, J. Math. Phys. 39, 4766-4772, (1998).
    • (1998) J. Math. Phys. , vol.39 , pp. 4766-4772
    • Hu, X.B.1    Zhu, Z.N.2
  • 4
    • 0033240101 scopus 로고    scopus 로고
    • Bäcklund transformation and its superposition principle of a Blaszak-Marciniak four-field lattice
    • W.X. Ma, X.B. Hu, S.M. Zhu and Y.T. Wu, Bäcklund transformation and its superposition principle of a Blaszak-Marciniak four-field lattice, J. Math. Phys. 40, 6071-6086, (1999).
    • (1999) J. Math. Phys. , vol.40 , pp. 6071-6086
    • Ma, W.X.1    Hu, X.B.2    Zhu, S.M.3    Wu, Y.T.4
  • 5
    • 0002464716 scopus 로고
    • Direct methods in soliton theory
    • (Edited by R.K. Bullough and P.J. Caudrey), Springer, Berlin
    • R. Hirota, Direct methods in soliton theory, In Solitons, (Edited by R.K. Bullough and P.J. Caudrey), Springer, Berlin, (1980).
    • (1980) Solitons
    • Hirota, R.1
  • 6
    • 0001935348 scopus 로고
    • A variety of nonlinear network equations generated from the Bäcklund transfor-mation for the Toda lattice
    • R. Hirota and J. Satsuma, A variety of nonlinear network equations generated from the Bäcklund transfor-mation for the Toda lattice, Prog. Theor. Phys. Suppl. 59, 64-100, (1976).
    • (1976) Prog. Theor. Phys. Suppl. , vol.59 , pp. 64-100
    • Hirota, R.1    Satsuma, J.2
  • 8
    • 85033648363 scopus 로고
    • Hirota's method
    • (Edited by A.P. Fordy), Manchester University Press, Manchester
    • J.J.C. Nimmo, Hirota's method, In Soliton Theory, A Survey of Results, (Edited by A.P. Fordy), Manchester University Press, Manchester, (1990).
    • (1990) Soliton Theory, a Survey of Results
    • Nimmo, J.J.C.1
  • 9
    • 0001486467 scopus 로고
    • A search for bilinear equations passing Hirota's three-soliton condition
    • J. Hietarinta, A search for bilinear equations passing Hirota's three-soliton condition, J. Math. Phys. 28, 1732-1742, (1987).
    • (1987) J. Math. Phys. , vol.28 , pp. 1732-1742
    • Hietarinta, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.