Darboux transformations for discrete systems

Chaos, solitons and fractals

Volumn 11, Issue 1, 2000, Pages 115-120

  Nimmo, J J C ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA;

DARBOUX TRANSFORMATION; DISCRETE INTEGRABLE SYSTEMS; HIROTA-MIWA EQUATION;

SOLITONS;

EID: 0033913597     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00275-6     Document Type: Article

References (6)

1. E. Date, M. Jimbo, T. Miwa, Method for generating discrete soliton equations I, J. Phys. Jpn. 51 (1982) 4116-4127.
2. R. Hirota, Discrete analogue of a generalized Toda equation, J. Phys. Jpn. 50 (1981) 3785-3791.
3. V.B. Matveev, M.A. Salle, Darboux Transformations and Solitons, Springer, Berlin, 1991.
4. J.J.C. Nimmo, Darboux transformations and the dKP equation, J. Phys A.30 (1997) 1-12.
5. J.J.C. Nimmo, W.K. Schief, Non-linear superposition principles associated with the moutard transformation: An integrable discretization of a (2+1) dimensional sine-Gordon system, Proc. R. Soc. London A 453 (1997) 255-279.
6. J.J.C. Nimmo, R. Willox, Darboux transformations for the two dimensional toda system, Proc. R. Soc. London A 453 (1997) 2497-2525.