TL;DR
This paper introduces a family of bilinear differential operators with gauge properties, linking them to q-deformations of integrable hierarchies, especially involving Hurwitz-type partition functions.
Contribution
It constructs new bilinear gauge operators and connects them to q-deformed integrable systems with specific gauge functions.
Findings
Operators satisfy gauge properties
Connection to q-deformed integrable hierarchies
Application to Hurwitz-type partition functions
Abstract
We construct a family of bilinear differential operators which satisfy certain gauge properties. These operators can be naturally associated with -deformations of classical integrable hierarchies. In particular, we consider the case when gauge function Hurwitz-type partition function.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Numerical methods in inverse problems · Stability and Controllability of Differential Equations