17 citations · 54 across the 11 of their papers we have counts for
11 papers
Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies
Ming-Hsien Tu, Jiin-Chang Shaw
A study of Hamiltonian structures associated with supersymmetric Lax operators is presented. Following a constructive approach, the Hamiltonian structures of Inami-Kanno super KdV…
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…
On the Miura and Backlund transformations associated with the supersymmetric Gelfand-Dickey bracket
Jiin-Chang Shaw, Ming-Hsien Tu
The supersymmetric version of the Miura and Bäcklund transformations associated with the supersymmetric Gelfand-Dickey bracket are investigated from the point of view of the Kupers…
Matrix Formulation of Hamiltonian Structures of Constrained KP Hierarchy
Wen-Jui Huang, Jiin-Chang Shaw, Ming-Hsien Tu
We give a matrix formulation of the Hamiltonian structures of constrained KP hierarchy. First, we derive from the matrix formulation the Hamiltonian structure of the one-constraint…
Canonical gauge equivalences of the sAKNS and sTB hierarchies
Jiin-Chang Shaw, Ming-Hsien Tu
We study the gauge transformations between the supersymmetric AKNS (sAKNS) and supersymmetric two-boson (sTB) hierarchies. The Hamiltonian nature of these gauge transformations is…
A Note on the Gauge Equivalence between the Manin-Radul and Laberge-Mathieu Super KdV Hierarchies
Jiin-Chang Shaw, Ming-Hsien Tu
The gauge equivalence between the Manin-Radul and Laberge-Mathieu super KdV hierarchies is revisited. Apart from the Inami-Kanno transformation, we show that there is another gauge…