Darboux transformations of the Supersymmetric BKP hierarchy

2016 ◽  
Vol 23 (3) ◽  
pp. 306-313 ◽  
Author(s):  
Chuanzhong Li
Keyword(s):  
Darboux Transformations ◽  
Bkp Hierarchy

Darboux transformations of new supersymmetric CKP and BKP hierarchies

2017 ◽  
Vol 28 (11) ◽  
pp. 1750084 ◽  
Author(s):  
Ruiling Ge ◽  
Chuanzhong Li
Keyword(s):  
Darboux Transformations ◽  
Type Condition ◽  
Bkp Hierarchy ◽  
Ckp Hierarchy

In this paper, we construct a supersymmetric CKP(SCKP) hierarchy and its Darboux transformations. These Darboux transformations can generate new solutions from seed solutions by using supersymmetric functions. Further, we obtain the supersymmetric Sawada–Kotera equation from the reduction of supersymmetric CKP hierarchy. After that, using a new B type condition, we also construct a new supersymmetric BKP(SBKP) hierarchy which is different from the supersymmetric BKP hierarchy defined by Ramos and Stanciu. Meanwhile, the Darboux transformations of this new SBKP hierarchy are derived.

Darboux transformations and Darboux coverings: some applications to the KP hierarchy

1998 ◽  
Vol 15 (4) ◽  
Author(s):  
Paolo Casati ◽  
GREGORIO Falqui ◽  
FRANCO Magri ◽  
Marco Pedroni ◽  
Jorge Zubelli
Keyword(s):  
Darboux Transformations ◽  
Kp Hierarchy

Notes on “infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system [Int. J. Mod. Phys. B 33 (2019) 1950147]

2021 ◽  
pp. 2150141
Author(s):  
Ning Zhang ◽  
Xi-Xiang Xu
Keyword(s):  
Conservation Laws ◽  
Darboux Transformation ◽  
Infinite Number ◽  
Lattice System ◽  
Darboux Transformations ◽  
Integrable Lattice

We show that the Darboux transformation in “Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system” [Int. J. Mod. Phys. B 33 (2019) 1950147] is incorrect, and construct a correct Darboux transformation.

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