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arXiv · 2408.10101

The evolution of spectral data for nonlinear Klein-Gordon models

P. H. S. Palheta·P. E. G. Assis·T. M. N. Gonçalves
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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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P. H. S. Palheta, P. E. G. Assis, T. M. N. Gonçalves. 2024-08-19. The evolution of spectral data for nonlinear Klein-Gordon models. https://arxiv.org/abs/2408.10101

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