scholarly journals The two bosonizations of the CKP hierarchy: Overview and character identities

2018 ◽  
pp. 1-34 ◽  
Author(s):  
Iana Anguelova
Keyword(s):  
Ckp Hierarchy

A New CKP Hierarchy with Two Generalized Time Series and Its Reduction

2011 ◽  
Vol 56 (4) ◽  
pp. 626-630 ◽  
Author(s):  
Yu-Qin Yao ◽  
Ye-Hui Huang ◽  
Yun-Bo Zeng
Keyword(s):  
Time Series ◽  
Ckp Hierarchy ◽  
Generalized Time

Constraint on the Multi-Component CKP Hierarchy and Recursion Operators

2016 ◽  
Vol 71 (6) ◽  
pp. 487-492
Author(s):  
Tao Song ◽  
Chuanzhong Li ◽  
Jingsong He
Keyword(s):  
Recursion Operators ◽  
Two Component ◽  
Ckp Hierarchy ◽  
Definition Of

AbstractIn this article, we give the definition of the multi-component constrained CKP (McCKP) and two-component constrained CKP (cCKP) hierarchies (under the condition N=2). Then we give recursion operators for the two-component cCKP hierarchy. At last, we give the constrained condition from the two-component cCKP hierarchies to cCKP hierarchy.

scholarly journals CKP hierarchy and free bosons

2021 ◽  
Vol 62 (8) ◽  
pp. 083506
Author(s):  
Yi Yang ◽  
Lumin Geng ◽  
Jipeng Cheng
Keyword(s):  
Ckp Hierarchy

scholarly journals Additional Symmetries and String Equation of the CKP Hierarchy

2007 ◽  
Vol 81 (2) ◽  
pp. 119-134 ◽  
Author(s):  
Jingsong He ◽  
Kelei Tian ◽  
Angela Foerster ◽  
Wen-Xiu Ma
Keyword(s):  
String Equation ◽  
Additional Symmetries ◽  
Ckp Hierarchy

scholarly journals The second bosonization of the CKP hierarchy

2017 ◽  
Vol 58 (7) ◽  
pp. 071707 ◽  
Author(s):  
Iana I. Anguelova
Keyword(s):  
Ckp Hierarchy

Darboux transformations of noncommutative BKP and CKP hierarchies

2020 ◽  
Vol 17 (11) ◽  
pp. 2050171
Author(s):  
Bao Shou ◽  
Qiufang Liu ◽  
Chuanzhong Li
Keyword(s):  
String Theory ◽  
Darboux Transformations ◽  
Ckp Hierarchy ◽  
M Theory

In this paper, we construct Darboux transformations of the noncommutative BKP (ncBKP) hierarchy and the noncommutative CKP (ncCKP) hierarchy. From these Darboux transformations, the explicit differences between the BKP (CKP) hierarchy and the noncommutative BKP (ncCKP) hierarchy can be seen clearly in this paper. These studies might be useful in the M theory and string theory in future.

Gauge transformations of the multi-component BKP and CKP hierarchies

2017 ◽  
Vol 31 (30) ◽  
pp. 1750280 ◽  
Author(s):  
Tao Song ◽  
Chuanzhong Li ◽  
Xinyue Li
Keyword(s):  
Gauge Transformation ◽  
Gauge Transformations ◽  
Ckp Hierarchy ◽  
The One

In this paper, we give the definition and multi-folds gauge transformations of the multi-component B-type Kakomtsev–Petviashvili (MBKP) hierarchy and multi-component CKP (MCKP) hierarchy. Besides, we derive new solutions after the one-fold gauge transformation of the MBKP hierarchy. The remarkable differences between the BKP (CKP) hierarchy and the MBKP(MCKP) hierarchy are given in this paper. What is more, we introduce some facts about the multi-component constrained BKP and multi-component constrained CKP hierarchies including some obstacles and some new multi-component equations.

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