Classical Darboux transformations and the KP hierarchy

被引:69
作者
Lambert, F [1 ]
Loris, I [1 ]
Springael, J [1 ]
机构
[1] Free Univ Brussels, Dienst Theoret Natuurkunde, B-1050 Brussels, Belgium
关键词
D O I
10.1088/0266-5611/17/4/333
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Classical Darboux transformations together with partitional polynomials are used as elementary tools for the construction of members of a basic hierarchy of integrable nonlinear partial differential equations (the KP hierarchy).
引用
收藏
页码:1067 / 1074
页数:8
相关论文
共 18 条
[1]   A novel class of solutions of the non-stationary Schrodinger and the Kadomtsev-Petviashvili I equations [J].
Ablowitz, MJ ;
Chakravarty, S ;
Trubatch, AD ;
Villarroel, J .
PHYSICS LETTERS A, 2000, 267 (2-3) :132-146
[2]  
[Anonymous], MATH ANN
[3]  
[Anonymous], 1857, Q J PURE APPL MATH I
[4]   Darboux coverings and rational reductions of the KP hierarchy [J].
Casati, P ;
Falqui, G ;
Magri, F ;
Pedroni, M .
LETTERS IN MATHEMATICAL PHYSICS, 1997, 41 (03) :291-305
[5]   Bihamiltonian geometry, Darboux coverings, and linearization of the KP hierarchy [J].
Falqui, G ;
Magri, F ;
Pedroni, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 197 (02) :303-324
[6]  
GELFAND IM, 1978, FUNK ANAL PRILOZ, V12, P8
[7]  
GILSON C, 1994, P R SOC A, V452, P223
[8]  
HIROTA R, 1988, SOLITONS, P157
[9]   SOLITONS AND INFINITE DIMENSIONAL LIE-ALGEBRAS [J].
JIMBO, M ;
MIWA, T .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (03) :943-1001
[10]  
Kadomtsev B. B., 1970, Soviet Physics - Doklady, V15, P539