The evolution of spectral data for nonlinear Klein-Gordon models

Fuente: arXiv
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Autori principali: Palheta, P. H. S., Assis, P. E. G., Gonçalves, T. M. N.
Natura: Preprint
Pubblicazione: 2024
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author Palheta, P. H. S.
Assis, P. E. G.
Gonçalves, T. M. N.
author_facet Palheta, P. H. S.
Assis, P. E. G.
Gonçalves, T. M. N.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_10101
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The evolution of spectral data for nonlinear Klein-Gordon models
Palheta, P. H. S.
Assis, P. E. G.
Gonçalves, T. M. N.
Exactly Solvable and Integrable Systems
High Energy Physics - Theory
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.
title The evolution of spectral data for nonlinear Klein-Gordon models
topic Exactly Solvable and Integrable Systems
High Energy Physics - Theory
url https://arxiv.org/abs/2408.10101