View in EDS

Gauge Miura and Bäcklund transformations for generalized A n -KdV hierarchies.

Saved in:
Bibliographic Details
Title: Gauge Miura and Bäcklund transformations for generalized A n -KdV hierarchies.
Authors: de Carvalho Ferreira, J M, Gomes, J F, Lobo, G V, Zimerman, A H
Source: Journal of Physics A: Mathematical & Theoretical; 10/29/2021, Vol. 54 Issue 43, p1-21, 21p
Subject Terms: GAUGE invariance, BACKLUND transformations, CURVATURE, EXPONENTS
Abstract: The construction of Miura and Bäcklund transformations for A n mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representation. As in the well known sl (2) case, we derive and relate the equations of motion for the two hierarchies. Moreover, the Miura-gauge transformation is not unique, instead, it is shown to be connected to a set of generators labeled by the exponents of A n . The construction of generalized gauge-Bäcklund transformation for the A n -KdV hierarchy is obtained as a composition of Miura and Bäcklund-gauge transformations for A n -mKdV hierarchy. The zero curvature representation provide a framework which is universal within all flows and generate systematically Bäcklund transformations for the entirely hierarchy. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Complementary Index
Be the first to leave a comment!
You must be logged in first