Group theoretical symmetries and generalized Bäcklund transformations for integrable systems
Year: 1994
Type: article
Abstract: A notion of symmetry for 1+1-dimensional integrable systems is presented which is consistent with their group theoretic description. It is shown how a group symmetry may be used together with a dynamical reduction to produce new generalizations of the Bäcklund transformation for the Korteweg–de Vries equation to its SL(n,C) generalization. An additional application to the relativistic invariance of the Leznov–Saveliev systems is given.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.530508
Author: Guido Haak
Institution: University of Kansas
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2010152911