BKP hierarchy and modified BKP hierarchy

2021 ◽  
pp. 1-28
Author(s):  
Jipeng Cheng
Keyword(s):  
Bkp Hierarchy

Some results of the BKP hierarchy as the Kupershmidt reduction of the modified KP hierarchy

2020 ◽  
pp. 2050433
Author(s):  
Yi Yang ◽  
Xiaoli Wang ◽  
Jipeng Cheng
Keyword(s):  
Gauge Transformation ◽  
Wave Functions ◽  
Kp Hierarchy ◽  
Gauge Transformations ◽  
Bkp Hierarchy

In this paper, the BKP hierarchy is viewed as the Kupershmidt reduction of the modified KP hierarchy. Then based upon this fact, the gauge transformation of the BKP hierarchy are obtained again from the corresponding results of the modified KP hierarchy. Also the constrained BKP hierarchy is constructed from the constrained modified KP hierarchy, and the corresponding gauge transformations are investigated. Particularly, it is found that there is a new kind of gauge transformations generated by the wave functions in the constrained BKP hierarchy.

A note on the dispersionless BKP hierarchy

2006 ◽  
Vol 39 (24) ◽  
pp. 7641-7655 ◽  
Author(s):  
Yu-Tung Chen ◽  
Ming-Hsien Tu
Keyword(s):  
Bkp Hierarchy

scholarly journals ON THE STRING EQUATION OF THE BKP HIERARCHY

2009 ◽  
Vol 24 (22) ◽  
pp. 4193-4208 ◽  
Author(s):  
HSIN-FU SHEN ◽  
MING-HSIEN TU
Keyword(s):  
Spectral Parameter ◽  
String Equation ◽  
Bkp Hierarchy

The Adler–Shiota–van Moerbeke formula is employed to derive the W-constraints for the p-reduced BKP hierarchy constrained by the string equation. We also provide the Grassmannian description of the string equation in terms of the spectral parameter.

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