Negative flows of the potential KP-hierarchy

Transactions of the American Mathematical Society

Volumn 348, Issue 1, 1996, Pages 375-390

  Haak, Guido ^a,b  

^a UNIVERSITY OF KANSAS   (United States)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25444483420     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-96-01560-7     Document Type: Article

References (15)

1. [AKNS] M. J. Ablowitz, D. J. Kaup, A. C. Newell, H. Segur, Stud. Appl. Math. 53, 249 (1974). MR 56:9108
2. [AvM] M. Adler, P. van Moerbeke, "Completely integrable systems, Euclidean Lie algebras and curves" and "Linearization of Hamiltonian systems, Jacobi varieties and representation theory", Adv. Math. 38 (1980). MR 83m:58041; MR 83m:58042
3. [Bo] O. I. Bogoyavlenskii, "Overturning Solitons in New Two-Dimensional Integrable Equations", Math. USSR Izvestiya 34 (1990).
4. [DKLW] D. David, N. Karman, D. Levi, P. Winternitz, "Symmetry reduction for the Kadomtsev- Petviashvili equation using a loop algebra", J. Math. Phys. 27, 1225-1237 (1986). MR 87f:58063
5. [DNS] J. Dorfmeister, E. Neher, J. Szmigielski, "Automorphisms of Banach Manifolds Associated with the KP-equation", Quart. J. Math. Oxford (2), 40 (1989). MR 91d:58010
6. [Do1] J. Dorfmeister, "Banach Manifolds of Solutions to Nonlinear Partial Differential Equations, and Relations with Finite Dimensional Manifolds", Collection: Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990), 121-139. MR 94i:58080
7. 1-Grassmannians and Banach Manifolds of Solutions to the KP-equation and the KdV-equation", unpublished.
8. [DS] V. G. Drinfeld, V. V. Sokolov, "Equations of Korteweg-de Vries type and simple Lie algebras", Soviet Math. Dokl. 23 (1981). MR 83k:58040
9. [Ha] G. Haak, "Analytische Untersuchungen an klassischen und quantenintegrablen Systemen", PhD-thesis, Freie Universität Berlin, FB Physik, 1993.
10. [HS] R. Hirota, J. Satsuma, "N-soliton of Model Equations for Shallow Water Waves", J. Phys. Soc. Japan 40 (1976). MR 53:1064
11. [PS] A. Pressley, G. B. Segal, "'Loop Groups"', Clarendon Press, Oxford, 1986. MR 88i:22049
12. [Si] B. Simon, "Trace Ideals and Their Applications", London Math. Soc. Lecture Notes 35, Cambridge University Press, 1979. MR 80k:47048
13. [SW] G. Segal, G. Wilson, "Loop Groups and Equations of KdV type", Pnbl. IHES 61, 1985. MR 87b:58039
14. [Sz] J. Szmigielski, "On Soliton Content of Self Dual Yang-Mills Equations", Preprint hep-th 9311119, 1993.
15. [Wu] H. Wu, "Nonlinear partial differential equations via vector fields on homogenous Banach manifolds", Ann. Global Anal. Geom. 10 (1992). MR 93f:58118