메뉴 건너뛰기




Volumn 13, Issue 6, 2000, Pages 45-48

Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system

Author keywords

B cklund transformations; Integrable systems; Lax pairs; Solitons

Indexed keywords


EID: 0039838914     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00052-5     Document Type: Article
Times cited : (36)

References (14)
  • 1
    • 18944408338 scopus 로고
    • Soliton solutions of a coupled Korteweg-de Vries equation
    • R. Hirota and J. Satsuma, Soliton solutions of a coupled Korteweg-de Vries equation, Phys. Lett. A 85, 407-408, (1981).
    • (1981) Phys. Lett. A , vol.85 , pp. 407-408
    • Hirota, R.1    Satsuma, J.2
  • 2
    • 0001732956 scopus 로고
    • Symmetries and conservation laws of a coupled nonlinear wave equation
    • M. Ito, Symmetries and conservation laws of a coupled nonlinear wave equation, Phys. Lett. A 91, 335-338, (1982).
    • (1982) Phys. Lett. A , vol.91 , pp. 335-338
    • Ito, M.1
  • 3
    • 0001148419 scopus 로고
    • A higher order water wave equation and the method for solving it
    • D.J. Kaup, A higher order water wave equation and the method for solving it. Prog. Theor. Phys. 54, 396-408, (1975).
    • (1975) Prog. Theor. Phys. , vol.54 , pp. 396-408
    • Kaup, D.J.1
  • 4
    • 0001695541 scopus 로고
    • A super KdV equation: An integrable system
    • B.A. Kupershmidt, A super KdV equation: An integrable system, Phys. Lett. A 102, 213-215, (1984).
    • (1984) Phys. Lett. A , vol.102 , pp. 213-215
    • Kupershmidt, B.A.1
  • 5
    • 34250112720 scopus 로고
    • Mathematics of dispersive water wave
    • B.A. Kupershmidt, Mathematics of dispersive water wave, Commun. Math. Phys. 99, 51-73, (1985).
    • (1985) Commun. Math. Phys. , vol.99 , pp. 51-73
    • Kupershmidt, B.A.1
  • 6
    • 45949112965 scopus 로고
    • Coupled KdV equations with multi-Hamiltonian structures
    • M. Antonowicz and A.P. Fordy, Coupled KdV equations with multi-Hamiltonian structures, Physica 28D, 345-357, (1987).
    • (1987) Physica , vol.28 D , pp. 345-357
    • Antonowicz, M.1    Fordy, A.P.2
  • 7
    • 85008279103 scopus 로고
    • Solitons and infinite dimensional Lie algebras
    • M. Jimbo and T. Miwa, Solitons and infinite dimensional Lie algebras, Publ. RIMS, Kyoto University 19, 943-1001, (1983).
    • (1983) Publ. RIMS, Kyoto University , vol.19 , pp. 943-1001
    • Jimbo, M.1    Miwa, T.2
  • 8
    • 0039287720 scopus 로고
    • Inverse scattering, ordinary differential equations of Painleve-type, and Hirota's bilinear formalism
    • Edited by J.L. Lebowitz, Academy of Sciences, New York
    • th Int. Conf. Collective Phenomena, (Edited by J.L. Lebowitz), p. 54, Academy of Sciences, New York, (1981).
    • (1981) th Int. Conf. Collective Phenomena , pp. 54
    • Ramani, A.1
  • 9
    • 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
  • 10
    • 0001935348 scopus 로고
    • A variety of nonlinear network equations generated from the Bäcklund transformation for the Toda lattice
    • R. Hirota and J. Satsuma, A variety of nonlinear network equations generated from the Bäcklund transformation 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
  • 12
    • 0003359162 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
  • 13
    • 0039359643 scopus 로고
    • A coupled KdV equation is one case of the four-reduction of the KP hierarchy
    • J. Satsuma and R. Hirota, A coupled KdV equation is one case of the four-reduction of the KP hierarchy, J. Phys. Soc. Japan 51, 3390-3397, (1982).
    • (1982) J. Phys. Soc. Japan , vol.51 , pp. 3390-3397
    • Satsuma, J.1    Hirota, R.2
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.