Generalized Baecklund-Darboux transformation: conservation laws, rational extensions and bispectrality
Analysis of PDEs
2016-11-03 v1 Classical Analysis and ODEs
Spectral Theory
Abstract
Baecklund-Darboux transformations are closely related to the integrability and symmetry problems. For the generalized Baecklund-Darboux transformation (GBDT), we consider conservation laws, rational extensions and bispectrality. We use the case of the nonlinear optics equation (and its auxiliary linear system) as an example.
Cite
@article{arxiv.1505.01641,
title = {Generalized Baecklund-Darboux transformation: conservation laws, rational extensions and bispectrality},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1505.01641},
year = {2016}
}