strict kp hierarchy
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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

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

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.

Expressions in Fredholm Determinants for Solutions of the Strict KP Hierarchy

2019 ◽  
Vol 199 (2) ◽  
pp. 637-651
Author(s):  
G. F. Helminck ◽  
E. A. Panasenko
Keyword(s):  
Kp Hierarchy ◽  
Fredholm Determinants ◽  
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

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
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