English

An analytic description of the vector constrained KP hierarchy

solv-int 2009-10-30 v1 High Energy Physics - Theory Quantum Algebra Exactly Solvable and Integrable Systems q-alg

Abstract

In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson, of the reduction of the KP hierarchy known as the vector kk-constrained KP hierarchy. We also show in a geometric way that these hierarchies are equivalent to Krichever's general rational reductions of the KP hierarchy.

Keywords

Cite

@article{arxiv.solv-int/9706004,
  title  = {An analytic description of the vector constrained KP hierarchy},
  author = {G. F. Helminck and J. W. van de Leur},
  journal= {arXiv preprint arXiv:solv-int/9706004},
  year   = {2009}
}

Comments

15 pages, Latex2e

R2 v1 2026-07-22T20:08:19.851Z