On Grassmannian description of the constrained KP hierarchy

被引:7
作者
Aratyn, H [1 ]
机构
[1] Univ Illinois, Dept Phys, Chicago, IL 60607 USA
关键词
KP hierarchy; constrained KP hierarchy; Sato's Grassmannian;
D O I
10.1016/S0393-0440(98)00062-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This note develops an explicit construction of the constrained KP hierarchy within the Sate Grassmannian framework. Useful relations are established between the kernel elements of the underlying ordinary differential operator and the eigenfunctions of the associated KP hierarchy as well as between the related bilinear concomitant and the squared eigenfunction potential. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:295 / 312
页数:18
相关论文
共 19 条
[1]   Method of squared eigenfunction potentials in integrable hierarchies of KP type [J].
Aratyn, H ;
Nissimov, E ;
Pacheva, S .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 193 (03) :493-525
[2]   Constrained KP hierarchies: Additional symmetries, Daarboux-Backlund solutions and relations to multi-matrix models [J].
Aratyn, H ;
Nissimov, E ;
Pacheva, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (07) :1265-1340
[3]  
ARATYN H, 1998, LECT NOTES PHYSICS, V502
[4]   Lectures on classical W-algebras [J].
Dickey, LA .
ACTA APPLICANDAE MATHEMATICAE, 1997, 47 (03) :243-321
[5]   ON THE CONSTRAINED KP HIERARCHY .2. [J].
DICKEY, LA .
LETTERS IN MATHEMATICAL PHYSICS, 1995, 35 (03) :229-236
[6]   An analytic description of the vector constrained KP hierarchy [J].
Helminck, GF ;
van de Leur, JW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 193 (03) :627-641
[7]  
HELMINCK GF, 1998, LECT NOTES PHYSICS, V502
[8]  
HELMINCK GF, GEOMETRIC BACKLUNDDA
[9]  
INCE EL, 1926, ORDINARY DIFFERENTIA, pCH5
[10]   LINEAR-OPERATORS WITH SELF-CONSISTENT COEFFICIENTS AND RATIONAL REDUCTIONS OF KP HIERARCHY [J].
KRICHEVER, I .
PHYSICA D, 1995, 87 (1-4) :14-19