Type-II B\"acklund Transformations via Gauge Transformations
Exactly Solvable and Integrable Systems
2011-12-20 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The construction of type II Backlund transformation for the sine-Gordon and the Tzitzeica-Bullough-Dodd models are obtained from gauge transformation. An infinite number of conserved quantities are constructed from the defect matrices. This guarantees that the introduction of type II defects for these models does not spoil their integrability. In particular, modified energy and momentum are derived and compared with those presented in recent literature.
Keywords
Cite
@article{arxiv.1110.1589,
title = {Type-II B\"acklund Transformations via Gauge Transformations},
author = {A. R. Aguirre and T. R. Araujo and J. F. Gomes and A. H. Zimerman},
journal= {arXiv preprint arXiv:1110.1589},
year = {2011}
}
Comments
Latex 19 pages, 2 tables. v2: Comments and two references added