Factorization and Poisson correspondences

被引:12
作者
Fordy, AP [1 ]
Shabat, AB [1 ]
Veselov, AP [1 ]
机构
[1] UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND
关键词
D O I
10.1007/BF02070933
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Darboux transformation as an example of an integrable infinite-dimensional Poisson correspondence is discussed in the contest of the general factorization problem. Generalizations related to energy-dependent Schrodinger operators and to Kac-Moody algebras are considered. We also present the finite-dimensional reductions of the Darboux transformation to stationary flows.
引用
收藏
页码:1369 / 1386
页数:18
相关论文
共 30 条
[1]   RECUTTINGS OF POLYGONS [J].
ADLER, VE .
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1993, 27 (02) :141-143
[2]  
[Anonymous], 1978, MATH METHODS CLASSIC, DOI [DOI 10.1007/978-1-4757-1693-1, 10.1007/978-1-4757-1693-1]
[3]   FACTORIZATION OF ENERGY-DEPENDENT SCHRODINGER-OPERATORS - MIURA MAPS AND MODIFIED SYSTEMS [J].
ANTONOWICZ, M ;
FORDY, AP .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 124 (03) :465-486
[4]   INTEGRABLE STATIONARY FLOWS - MIURA MAPS AND BI-HAMILTONIAN STRUCTURES [J].
ANTONOWICZ, M ;
FORDY, AP ;
WOJCIECHOWSKI, S .
PHYSICS LETTERS A, 1987, 124 (03) :143-150
[5]  
Antonowicz M., 1993, Reports on Mathematical Physics, V32, P223, DOI 10.1016/0034-4877(93)90016-8
[6]  
ANTONOWICZ M, 1990, SOLITON THEORY SURVE, P273
[7]  
BOGOYAVLENSKII OI, 1976, FUNCT ANAL APPL, V10, P8
[8]  
Darboux G., 1882, CR HEBD ACAD SCI, V94, P1456
[9]   APPLICATIONS OF A COMMUTATION FORMULA [J].
DEIFT, PA .
DUKE MATHEMATICAL JOURNAL, 1978, 45 (02) :267-310
[10]  
Drinfel'd V. G., 1985, J SOV MATH, V30, P1975, DOI DOI 10.1007/BF02105860