The integral type gauge transformation and the additional symmetry for the constrained KP hierarchy
Jipeng Cheng, Jingsong He
TL;DR
This paper explores how integral gauge transformations interact with additional symmetries in the constrained KP hierarchy and derives the string-equation constraint relevant to matrix models.
Contribution
It establishes the compatibility between integral gauge transformations and additional symmetries in the constrained KP hierarchy and derives the string-equation constraint.
Findings
Compatibility between integral gauge transformation and additional symmetry established
String-equation constraint derived for matrix models
Insights into the structure of constrained KP hierarchy
Abstract
In this paper, the compatibility between the integral type gauge transformation and the additional symmetry of the constrained KP hierarchy is given. And the string-equation constraint in matrix models is also derived.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models