Quadrilateral lattices and eigenfunction potentials for N-component KP hierarchies

Authors
Willox, R Ohta, Y Gilson, CR Tokihiro, T Satsuma, J
Citation
R. Willox et al., Quadrilateral lattices and eigenfunction potentials for N-component KP hierarchies, PHYS LETT A, 252(3-4), 1999, pp. 163-172
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
252
Issue
3-4
Year of publication
1999
Pages
163 - 172
Database
ISI
SICI code
0375-9601(19990222)252:3-4<163:QLAEPF>2.0.ZU;2-R
Abstract
The (charged) free fermion formulation of the N-component KP hierarchies is used for the description of quadrilateral lattices in terms of multicompon ent KP eigenfunction potentials. Tan functions for these hierarchies are ex plicitly calculated, giving rise to Grammian and Casorati determinant solut ions to the (discretized) Darboux or Laplace equations describing the latti ces. An example of localized tau functions and eigenfunction potentials is given. (C) 1999 Published by Elsevier Science B.V.