Darboux transformations for the strict KP hierarchy

2021 ◽  
Vol 206 (3) ◽  
pp. 296-314
Author(s):  
G. F. Helminck ◽  
E. A. Panasenko
Keyword(s):  
Darboux Transformations ◽  
Kp Hierarchy ◽  
Strict Kp Hierarchy

Darboux transformations and Darboux coverings: some applications to the KP hierarchy

1998 ◽  
Vol 15 (4) ◽  
Author(s):  
Paolo Casati ◽  
GREGORIO Falqui ◽  
FRANCO Magri ◽  
Marco Pedroni ◽  
Jorge Zubelli
Keyword(s):  
Darboux Transformations ◽  
Kp Hierarchy

Classical Darboux transformations and the KP hierarchy

2001 ◽  
Vol 17 (4) ◽  
pp. 1067-1074 ◽  
Author(s):  
F Lambert ◽  
I Loris ◽  
J Springael
Keyword(s):  
Darboux Transformations ◽  
Kp Hierarchy

Reductions of the strict KP hierarchy

2020 ◽  
Vol 205 (2) ◽  
pp. 1411-1425
Author(s):  
G. F. Helminck ◽  
E. A. Panasenko
Keyword(s):  
Kp Hierarchy ◽  
Strict Kp Hierarchy

Geometric Solutions of the Strict KP Hierarchy

2019 ◽  
Vol 198 (1) ◽  
pp. 48-68 ◽  
Author(s):  
G. F. Helminck ◽  
E. A. Panasenko
Keyword(s):  
Kp Hierarchy ◽  
Geometric Solutions ◽  
Strict Kp Hierarchy

scholarly journals Darboux Transformations for the KP Hierarchy in the Segal-Wilson Setting

2001 ◽  
Vol 53 (2) ◽  
pp. 278-309 ◽  
Author(s):  
G. F. Helminck ◽  
J. W. van de Leur
Keyword(s):  
Closed Form ◽  
Darboux Transformations ◽  
Kp Hierarchy ◽  
Geometric Data

AbstractIn this paper it is shown that inclusions inside the Segal-Wilson Grassmannian give rise to Darboux transformations between the solutions of the KP hierarchy corresponding to these planes. We present a closed form of the operators that procure the transformation and express them in the related geometric data. Further the associated transformation on the level of τ-functions is given.

Bilinear equations for the strict KP hierarchy

2015 ◽  
Vol 185 (3) ◽  
pp. 1803-1815 ◽  
Author(s):  
G. F. Helminck ◽  
E. A. Panasenko ◽  
S. V. Polenkova
Keyword(s):  
Kp Hierarchy ◽  
Bilinear Equations ◽  
Strict Kp Hierarchy

scholarly journals Scaling invariance of the strict KP hierarchy

2020 ◽  
pp. 331-340
Author(s):  
Gerard F. Helminck ◽  
Elena A. Panasenko
Keyword(s):  
Standard Setting ◽  
Minimal Realization ◽  
Kp Hierarchy ◽  
Scaling Invariance ◽  
Lax Equations ◽  
Strict Kp Hierarchy

In this paper we show first of all that for solutions of the strict KP hierarchy it is sufficient to work in a standard setting. Further we discuss a minimal realization of the hierarchy and present the scaling invariance of the Lax equations of the hierarchy.

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