GENERALIZED MIURA-TRANSFORMATIONS, 2-BOSON KP HIERARCHIES AND THEIR REDUCTION TO KDV HIERARCHIES

Authors
ARATYN H FERREIRA LA GOMES JF MEDEIROS RT ZIMERMAN AH
Citation
H. Aratyn et al., GENERALIZED MIURA-TRANSFORMATIONS, 2-BOSON KP HIERARCHIES AND THEIR REDUCTION TO KDV HIERARCHIES, Modern physics letters A, 8(32), 1993, pp. 3079-3091
Citations number
NO
Categorie Soggetti
Physics
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
8
Issue
32
Year of publication
1993
Pages
3079 - 3091
Database
ISI
SICI code
0217-7323(1993)8:32<3079:GM2KHA>2.0.ZU;2-X
Abstract
Bracket preserving gauge equivalence is established between several tw o-boson generated KP type of hierarchies. These KP hierarchies reduce under symplectic reduction (via Dirac constraints) to KdV, mKdV and Sc hwarzian KdV hierarchies. Under this reduction the gauge equivalence t akes the form of the conventional Miura maps between the above KdV typ e of hierarchies.