107 citations · 279 across the 51 of their papers we have counts for
7 papers · 1 filter
Toward a canonical qKdV equation
Robert Carroll
A new construction, with more visible canonical features, of a qKdV equation in a q-Virasoro context is exhibited.
Remarks on q-Virasoro and qKdV
Robert Carroll
Some forms of qKdV type equations are indicated which arise from Virasoro considerations.
Remarks on quantum differential operators
Robert Carroll
Various aspects of q-differential equations are examined in the contexts of quantum groups and spaces, differential calculi, zero curvature, and Lax-Sato hierarchies. There are man…
Remarks on q-calculus and integrability
Robert Carroll
Relations between differential calculi, quantum groups, integrable systems, and q-analysis are studied. Some new Hirota type formulas are established for qKP along with variations…
Discretization, Moyal, and integrability
Robert Carroll
Connections of KP, qKP, and Moyal type dKP constructions are developed. Some expansion of the Moyal KP procedures of Kemmoku-Saito is given with clarification of the role of spectr…
Discretization and Moyal brackets
Robert Carroll
We give a q-analysis version of a discretization procedure of Kemmoku and Saito leading to an apparently new q-Moyal type bracket.