DARBOUX TRANSFORMATIONS AND THE DISCRETE KP EQUATION

Authors
NIMMO JJC
Citation
Jjc. Nimmo, DARBOUX TRANSFORMATIONS AND THE DISCRETE KP EQUATION, Journal of physics. A, mathematical and general, 30(24), 1997, pp. 8693-8704
Citations number
11
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
24
Year of publication
1997
Pages
8693 - 8704
Database
ISI
SICI code
0305-4470(1997)30:24<8693:DTATDK>2.0.ZU;2-Z
Abstract
This paper presents two results. First it is shown how the discrete KP equation arises from a superposition principle associated with the Da rboux transformation of the two-dimensional Toda system. Then Darboux transformations and binary Darboux transformations are derived for the discrete KP equation and it is shown how these may be used to constru ct exact solutions.