Extensions of the discrete KP hierarchy and its strict version

2020 ◽  
Vol 204 (3) ◽  
pp. 1140-1153
Author(s):  
G. F. Helminck ◽  
V. A. Poberezhny ◽  
S. V. Polenkova
Keyword(s):  
Kp Hierarchy ◽  
Discrete Kp Hierarchy ◽  
Discrete Kp

Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy

1993 ◽  
Vol 62 (6) ◽  
pp. 1872-1886 ◽  
Author(s):  
Yasuhiro Ohta ◽  
Ryogo Hirota ◽  
Satoshi Tsujimoto ◽  
Tatsuya Imai
Keyword(s):  
Kp Hierarchy ◽  
Discrete Kp Hierarchy ◽  
Discrete Kp

scholarly journals Ghost symmetry of the discrete KP hierarchy

2015 ◽  
Vol 180 (4) ◽  
pp. 815-832 ◽  
Author(s):  
Chuanzhong Li ◽  
Jipeng Cheng ◽  
Kelei Tian ◽  
Maohua Li ◽  
Jingsong He
Keyword(s):  
Kp Hierarchy ◽  
Discrete Kp Hierarchy ◽  
Discrete Kp ◽  
Ghost Symmetry

The discrete KP hierarchy and the negative power series on the complex plane

2013 ◽  
Vol 32 (3) ◽  
pp. 483-493 ◽  
Author(s):  
Nancy López Reyes ◽  
Raúl Felipe ◽  
Tovias Castro Polo
Keyword(s):  
Power Series ◽  
Complex Plane ◽  
Kp Hierarchy ◽  
Negative Power ◽  
Discrete Kp Hierarchy ◽  
Discrete Kp

scholarly journals THE GAUGE TRANSFORMATION OF THE CONSTRAINED SEMI-DISCRETE KP HIERARCHY

2013 ◽  
Vol 27 (06) ◽  
pp. 1350043 ◽  
Author(s):  
MAOHUA LI ◽  
JIPENG CHENG ◽  
JINGSONG HE
Keyword(s):  
Gauge Transformation ◽  
Generating Functions ◽  
Suitable Choice ◽  
Kp Hierarchy ◽  
Lax Operator ◽  
Discrete Kp Hierarchy ◽  
Discrete Kp

In this paper, the gauge transformation of the constrained semi-discrete KP(cdKP) hierarchy is constructed explicitly by the suitable choice of the generating functions. Under the m-step successive gauge transformation Tm, we give the transformed (adjoint) eigenfunctions and the τ-function of the transformed Lax operator of the cdKP hierarchy.

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