COVARIANT FORMS OF LAX ONE-FIELD OPERATORS: FROM ABELIAN TO NONCOMMUTATIVE

Author:

Leble Sergey

Publisher

Springer Netherlands

Reference24 articles.

1. Matveev, V. B. (1979) Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters, Lett. Math. Phys. 3 pp. 213–216, Darboux transformation and the explicit solutions of differential-difference and difference-difference evolution equations, pp. 217–222, Some comments on the rational solutions of the Zakharov-Schabat equations, pp. 503–512.

2. Bruno, F. D. (1857) Notes sur une nouvelle formule de calcul différentiel Q.J., Pure Appl. Math. 1, pp. 359–360.

3. Zaitsev, A. A. and Leble, S. B. (2000) Division of differential operators, intertwine relations and Darboux transformations, Preprint 12.01.1999 math-ph/9903005, ROMP, 46, p. 155.

4. Salle, M. (1982) Darboux transformations for nonabelian and nonlocal Toda-chaintype equations, Theor. Math. Phys. 53, pp. 227–237.

5. Leble, S. and Salle, M. (1985) The Darboux transformations for the discrete analogue of the Silin-Tikhonchuk equation, Dokl. AN SSSR 284, pp. 110–114.

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