非线性克莱因-戈登模型光谱数据的演变

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-08-19 DOI:arxiv-2408.10101

P. H. S. Palheta, P. E. G. Assis, T. M. N. Gonçalves

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引用次数: 0

摘要

我们研究了打破正弦-戈登类系统运动积分的可积分性的影响。文献中讨论的准可积分模型继承了与之相关的一些可积分特性。我们的策略是通过所谓反向散射法的变形来研究这个问题，事实证明这种策略在讨论一般非线性克莱因-戈登势能以及本文介绍的特殊情况时非常有用。

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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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arXiv - PHYS - Exactly Solvable and Integrable Systems

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