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 $q$-deformed Korteweg-de Vries hierarchy by using the $q$-deformed pseudodifferential operators. We identify the elementary…