BINARY DARBOUX TRANSFORMATIONS FOR CONSTRAINED KP HIERARCHIES

Authors
WILLOX R LORIS I GILSON CR
Citation
R. Willox et al., BINARY DARBOUX TRANSFORMATIONS FOR CONSTRAINED KP HIERARCHIES, Inverse problems, 13(3), 1997, pp. 849-865
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
13
Issue
3
Year of publication
1997
Pages
849 - 865
Database
ISI
SICI code
0266-5611(1997)13:3<849:BDTFCK>2.0.ZU;2-E
Abstract
We describe how Darboux transformations and binary Darboux transformat ions can be constructed for (vector-) constrained KP hierarchies. Thes e transformations are then used to obtain explicit classes of Wronskia n and Grammian solutions for these hierarchies. The relationship betwe en these two types of solutions is also discussed.