Darboux transformations and the bispectral problem

1998 ◽  
pp. 81-91 ◽  
Author(s):  
Alex Kasman
Keyword(s):  
Darboux Transformations ◽  
Bispectral Problem

Vectorial Darboux Transformations for the Kadomtsev-Petviashvili Hierarchy

1999 ◽  
Vol 9 (2) ◽  
pp. 213-232 ◽  
Author(s):  
Q. P. Liu ◽  
M. Mañas
Keyword(s):  
Darboux Transformations

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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