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solv-int1998
Q-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations
Ming-Hsien Tu
We study the additional symmetries associated with the -deformed Kadomtsev-Petviashvili (-KP) hierarchy. After identifying the resolvent operator as the generator of the addi…
solv-int1998
On Darboux-Bäcklund Transformations for the Q-Deformed Korteweg-de Vries Hierarchy
Ming-Hsien Tu, Jiin-Chang Shaw, Chin-Rong Lee
We study Darboux-Bäcklund transformations (DBTs) for the -deformed Korteweg-de Vries hierarchy by using the -deformed pseudodifferential operators. We identify the elementary…