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Volumn 38, Issue 12, 1997, Pages 6455-6469

Darboux and binary Darboux transformations for the nonautonomous discrete KP equation

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EID: 0031523443     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532222     Document Type: Article
Times cited : (32)

References (16)
  • 1
    • 0002827205 scopus 로고
    • On Hirota's difference equations
    • Ser. A
    • T. Miwa, "On Hirota's difference equations," Proc. Jpn. Acad. 58, Ser. A, 9-12 (1982).
    • (1982) Proc. Jpn. Acad. , vol.58 , pp. 9-12
    • Miwa, T.1
  • 2
    • 11744360684 scopus 로고
    • Discrete analogue of a generalized Toda equation
    • R. Hirota, "Discrete analogue of a generalized Toda equation," J. Phys. Soc. Jpn. 50, 3785-3791 (1981).
    • (1981) J. Phys. Soc. Jpn. , vol.50 , pp. 3785-3791
    • Hirota, R.1
  • 5
    • 0001037040 scopus 로고
    • Darboux theorems and Wronskian formulas
    • W. Oevel, "Darboux theorems and Wronskian formulas," Physica A 195, 533-576 (1993).
    • (1993) Physica A , vol.195 , pp. 533-576
    • Oevel, W.1
  • 7
    • 0001782995 scopus 로고
    • Darboux transformations from reductions of the KP hierarchy
    • edited by V. G. Makhankov, A. R. Bishop, and D. D. Holm World Scientific, Singapore
    • J. J. C. Nimmo, "Darboux transformations from reductions of the KP hierarchy," in Nonlinear Evolution Equations & Dynamical Systems, edited by V. G. Makhankov, A. R. Bishop, and D. D. Holm (World Scientific, Singapore, 1995), pp. 168-177.
    • (1995) Nonlinear Evolution Equations & Dynamical Systems , pp. 168-177
    • Nimmo, J.J.C.1
  • 8
    • 33746752207 scopus 로고    scopus 로고
    • Superposition principles associated with the Moutard transformation. An integrable discretisation of a (2 + 1)-dimensional sine-Gordon system
    • J. J. C. Nimmo and W. K. Schief, "Superposition principles associated with the Moutard transformation. An integrable discretisation of a (2 + 1)-dimensional sine-Gordon system," Proc. R. Soc. London, Ser. A 453, 255-279 (1997).
    • (1997) Proc. R. Soc. London, Ser. A , vol.453 , pp. 255-279
    • Nimmo, J.J.C.1    Schief, W.K.2
  • 12
    • 85033149647 scopus 로고    scopus 로고
    • KP symmetry reductions and a generalised constraint
    • to appear
    • I. Loris and R. Willox, "KP symmetry reductions and a generalised constraint," to appear in J. Phys. A.
    • J. Phys. A
    • Loris, I.1    Willox, R.2
  • 14
    • 85008279103 scopus 로고
    • Solitons and infinite dimensional Lie algebras
    • M. Jimbo and T. Miwa, "Solitons and infinite dimensional Lie algebras," Publ. RIMS Kyoto Univ. 19, 943-1001 (1983).
    • (1983) Publ. RIMS Kyoto Univ. , vol.19 , pp. 943-1001
    • Jimbo, M.1    Miwa, T.2
  • 16
    • 21144484533 scopus 로고
    • Casorati and discrete Gramm type determinant representations of solutions to the discrete KP hierarchy
    • Y. Ohta, R. Hirota, S. Tsujimoto, and T. Imai, "Casorati and discrete Gramm type determinant representations of solutions to the discrete KP hierarchy," J. Phys. Soc. Jpn. 62, 1872-1886 (1993).
    • (1993) J. Phys. Soc. Jpn. , vol.62 , pp. 1872-1886
    • Ohta, Y.1    Hirota, R.2    Tsujimoto, S.3    Imai, T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.