P. H. S. Palheta, P. E. G. Assis, T. M. N. Gonçalves
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The evolution of spectral data for nonlinear Klein-Gordon models
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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