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

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

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.

Gauge transformations of constrained discrete modified KP systems with self-consistent sources

2017 ◽  
Vol 14 (04) ◽  
pp. 1750052 ◽  
Author(s):  
Ran Huang ◽  
Tao Song ◽  
Chuanzhong Li
Keyword(s):  
Gauge Transformation ◽  
Kp Hierarchy ◽  
Gauge Transformations ◽  
Self Consistent ◽  
Basic Facts ◽  
Discrete Kp ◽  
Ghost Symmetry

In this paper, we firstly recall some basic facts about the discrete KP(d-KP) and discrete modified KP(d-mKP) hierarchies, and then we find that d-KP hierarchy and d-mKP hierarchy are linked by a gauge transformation. What’s more, we give three gauge transformation operators of the d-mKP hierarchy and give their successive applications. We further construct the ghost symmetry and use this symmetry to give the definition the d-mKP hierarchy with self-consistent sources. We also give gauge transformations of a newly defined constrained d-mKP(cd-mKP) hierarchy and the constrained d-mKP hierarchy with self-consistent sources(cd-mKPHSCSs).

Sign in / Sign up

Export Citation Format

Share Document