On the Miura Map between the dispersionless KP and dispersionless modifiedKP hierarchies

Authors
Chang, JH Tu, MH
Citation
Jh. Chang et Mh. Tu, On the Miura Map between the dispersionless KP and dispersionless modifiedKP hierarchies, J MATH PHYS, 41(8), 2000, pp. 5391-5406
Citations number
32
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
8
Year of publication
2000
Pages
5391 - 5406
Database
ISI
SICI code
0022-2488(200008)41:8<5391:OTMMBT>2.0.ZU;2-S
Abstract
The Miura map between the dispersionless KP and dispersionless modified KP hierarchies is investigated. It is shown that the Miura map is canonical wi th respect to their bi-Hamiltonian structures. Moreover, inspired by the wo rks of Takasaki and Takebe, the twistor construction of solution structure for the dispersionless modified KP hierarchy is given. (C) 2000 American In stitute of Physics. [S0022- 2488(00)02708-0].