P. H. S. Palheta, P. E. G. Assis, T. M. N. Gonçalves
{"title":"The evolution of spectral data for nonlinear Klein-Gordon models","authors":"P. H. S. Palheta, P. E. G. Assis, T. M. N. Gonçalves","doi":"arxiv-2408.10101","DOIUrl":null,"url":null,"abstract":"We investigate the effect of the breaking of integrability in the integrals\nof motion of a sine-Gordon-like system. The class of quasi-integrable models,\ndiscussed in the literature, inherits some of the integrable properties they\nare associated with. Our strategy, to investigate the problem through a\ndeformation of the so-called inverse scattering method, has proven to be useful\nin the discussion of generic nonlinear Klein-Gordon potentials, as well as in\nparticular cases presented here.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":"159 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Exactly Solvable and Integrable Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.10101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
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