Schlesinger-Bäcklund transformations for the N-component KP

Journal of Mathematical Physics

Volumn 39, Issue 5, 1998, Pages 2833-2847

  Van De Leur, Johan ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032372275     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532423     Document Type: Article

References (11)

1. M. Sato, "Soliton equations as dynamical systems on infinite dimensional Grassmann manifolds," Res. Inst. Math. Sci. Kokyuroku 439, 30-40 (1981).
2. M. Jimbo, M. Kashiwara, and T. Miwa, "Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III," J. Phys. Soc. Jpn. 50, 3806-3812 (1981).
3. M. Jimbo and T. Miwa, "Solitons and infinite dimensional Lie algebras," Publ. Res. Inst. Math. Sci. 19, 943-1001 (1983).
4. V. G. Kac and J. W. van de Leur, "The n-component KP hierarchy and representation theory," in Important Developments in Soliton Theory, Springer Series in Nonlinear Dynamics, edited by A. S. Fokas and V. E. Zakharov (Springer, Berlin, 1993), pp. 302-343.
5. M. Bergvelt and A. ten Kroode, "Partitions, vertex operator constructions and multi-component KP equations," Pac. J. Math. 171, 23-88 (1995).
6. G. F. Helminck and G. F. Post, "The geometry of differential difference equations," Indagationes Mathematicae (New Series) 5, 411-438 (1994).
7. K. Ueno and K. Takasaki, Toda Lattice Hierarchy, Advanced Studies in Pure Mathematics (North-Holland, New York, 1984), Vol. 4, pp. 1-95.
8. M. Adler and P. van Moerbeke, "String-orthogonal polynomials, string equations, and two-Toda symmetries," Commun. Pure Appl. Math. L, 241-290 (1997).
9. M. Adler and P. van Moerbeke, "Matrix integrals, toda symmetries, Virasoro constraints and orthogonal polynomials," Duke Math. J. 80, 23-88 (1995).
10. L. Maine and E. Horozov, "Toda orbits of Laguerre polynomials and representations of the Virasoro algebra," Bull. Sci. Math 117, 485-518 (1993).
11. (I) and the Toda lattice," Lett. Math. Phys. 12, 139-147 (1986).