Modified KP and discrete KP

Letters in Mathematical Physics

Volumn 48, Issue 3, 1999, Pages 277-289

  Dickey, L A ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

1 Toda lattice hierarchy; Discrete KP; Modified

Indexed keywords

EID: 0001353545     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007647118522     Document Type: Article

References (15)

1. Adler, M.: On the Bäcklund transformation for the Gelfand-Dikii equations, Comm. Math. Phys. 80(4) (1981), 517-527.
2. Adler, M. and van Moerbecke, P.: Vertex operator solutions to the discrete KP-hierarchy, Preprint, 1998.
3. Adler, M., Horozov, E. and van Moerbeke, P.: The solution to the q-KdV equation, Phys. Lett. A 242 (1998), 139-151.
4. Cheng Yi: Modifying the KP, the Nth constrained KP hierarchies and their Hamiltonian structures, Preprint, 1993.
5. Dickey, L. A.: Integrable nonlinear equations and Liouville's theorem I, Comm. Math. Phys. 82(3) (1981), 345-360.
6. Dickey, L. A.: Soliton equations and Hamiltonian systems, Adv. Ser. Math. Phys. 12, World Scientific, Singapore, 1991.
7. Dickey, L. A.: Additional symmetries of KP, Grassmannian, and the string equation II, Modern Phys. Lett. A 8(14) (1993), 1357-1377.
8. Dickey, L. A.: Why the general Zakharov-Shabat equations form a hierarchy, Comm. Math. Phys. 163(3) (1994), 509-522.
9. Dickey, L. A.: Lectures on classical W-algebras, Acta Appl. Math. 47 (1997), 243-321.
10. Drinfeld, V. G. and Sokolov, V.V.: Equations of the Korteweg-de Vries type and simple Lie algebras, Dokl. AN SSSR 258(1) (1981), 11-16.
11. Frenkel, E.: Deformations of the KdV hierarchy and related soliton equations, Internat. Math. Res. Notices, No 2 (1996), 55-76.
12. Gestezy, F. and Unterkofler, K.: On the (modified) Kadomtsev-Petviashvili hierarchy, Differential Integral Equations 8(4) (1995), 797-812.
13. Khesin, B., Lyubashenko, V. and Roger, C.: Extensions and contractions of the Lie algebra of q-pseudodifferential symbols on the circle, J. Functional Anal. 143 (1997), 55-97.
14. Kupershmidt, B. A.: On the integrability of modified Lax equations, J. Phys. A 22 (1989), L993.
15. Ueno, K. and Takasaki, K.: Toda lattice hierarchy, Adv. Stud. Pure Math. 4 (1984), 1-95.