Reductions of Lower Triangular Toda Hierarchies

Share/Save/Bookmark

Helminck, Gerardus F. and Mishina, Marina G. and Polenkova, Svetlana V. (2007) Reductions of Lower Triangular Toda Hierarchies. Acta Applicandae Mathematicae, 99 (3). pp. 245-259. ISSN 0167-8019

[img] PDF
Restricted to UT campus only
: Request a copy
373kB
Abstract:Deforming commutative algebras in the lower triangular (ℤ×ℤ)-matrices yields lower triangular Toda hierarchies and their associated nonlinear equations. Like for their counterpart in the ring of pseudodifferential operators, the KP-hierarchy, one also has for these hierarchies a geometric picture: certain infinite chains of subspaces in an separable Hilbert space provide solutions of lower triangular Toda hierarchies. The KP-hierarchy and its multi-component version contain many interesting subsystems, like e.g. the nth Gelfand–Dickey hierarchy and the AKNS-hierarchy. In this paper one considers analogues of these two subsystems in the context of the lower triangular Toda hierarchies and a geometric description of solutions to both type reductions is given.
Item Type:Article
Copyright:© 2007 Springer
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/69574
Official URL:http://dx.doi.org/10.1007/s10440-007-9166-2
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page