Functional representations of integrable hierarchies

Dimakis, Aristophanes; Müller-Hoissen, Folkert

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Functional representations of integrable hierarchies

MPS-Authors

/persons/resource/persons173596

Müller-Hoissen, Folkert
Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Dimakis, A., & Müller-Hoissen, F. (2006). Functional representations of integrable hierarchies. Journal of Physics A: Mathematical and General, 39, 9169-9186.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-14CB-9

Abstract

We consider a general framework for integrable hierarchies in Lax form and derive certain universal equations from which 'functional representations' of particular hierarchies (like KP, discrete KP, mKP, AKNS), i.e. formulations in terms of functional equations, are systematically and quite easily obtained. The formalism genuinely applies to hierarchies where the dependent variables live in a noncommutative (typically matrix) algebra. The obtained functional representations can be understood as 'noncommutative' analogs of 'Fay identities' for the KP hierarchy.