Twisted laplace maps

Athorne, C. and Yilmaz, H. (2019) Twisted laplace maps. Journal of Physics A: Mathematical and Theoretical, 52(22), 225201. (doi: 10.1088/1751-8121/ab1926)

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Abstract

We consider general Darboux maps arising from intertwining relations on second order, linear partial differential operators, as deformations of the classical, Laplace case. We present Lax pairs for the corresponding relations on invariants and discuss the conditions for a lattice structure analogous to 2D Toda theory.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Yilmaz, Dr Halis and Athorne, Dr Chris
Authors: Athorne, C., and Yilmaz, H.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Physics A: Mathematical and Theoretical
Publisher:IOP Publishing
ISSN:1751-8113
ISSN (Online):1751-8121
Published Online:15 April 2019
Copyright Holders:Copyright © 2019 IOP Publishing Ltd
First Published:First published in Journal of Physics A: Mathematical and Theoretical 52(22): 225201
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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