The evolution of spectral data for nonlinear Klein-Gordon models
Exactly Solvable and Integrable Systems
2024-08-20 v1 High Energy Physics - Theory
Abstract
We investigate the effect of the breaking of integrability in the integrals of motion of a sine-Gordon-like system. The class of quasi-integrable models, discussed in the literature, inherits some of the integrable properties they are associated with. Our strategy, to investigate the problem through a deformation of the so-called inverse scattering method, has proven to be useful in the discussion of generic nonlinear Klein-Gordon potentials, as well as in particular cases presented here.
Cite
@article{arxiv.2408.10101,
title = {The evolution of spectral data for nonlinear Klein-Gordon models},
author = {P. H. S. Palheta and P. E. G. Assis and T. M. N. Gonçalves},
journal= {arXiv preprint arXiv:2408.10101},
year = {2024}
}
Comments
15 pages, 10 figures