一个新的孤立波模型：解、稳定性和拟正规模
A new model with solitary waves: solution, stability and quasinormal modes
摘要：
我们构造孤立波解的$1+1$维无质量标量（$ϕ$）场论与一个特别选择的潜在的$V(ϕ)$。控制这种孤立波扰动的方程有一个有效势，它在一定区域内是一个简谐势，在区域外是一个常数。这一特性使得我们可以通过阱中束缚态的存在来保证孤波的稳定性，而这一点可以通过半解析方法来得到。通过我们的搜索准正常模式（QNM），这是纯粹的外向边界条件定义的稳定性进行进一步检查。的扰动和QNM值的参数变化的时域配置文件，并讨论了一些细节。预期的是，阻尼振荡的时间行为（振铃）的波动是清楚地看到，通过我们的分析准正常模式。
英文摘要：
We construct solitary wave solutions in a $1+1$ dimensional massless scalar ($ϕ$) field theory with a specially chosen potential $V(ϕ)$. The equation governing perturbations about this solitary wave has an effective potential which is a simple harmonic well over a region, and a constant beyond. This feature allows us to ensure the stability of the solitary wave through the existence of bound states in the well, which can be found by semi-analytical methods. A further check on stability is performed through our search for quasi-normal modes (QNM) which are defined for purely outgoing boundary conditions. The time-domain profiles of the perturbations and the parametric variation of the QNM values are presented and discussed in some detail. Expectedly, a damped oscillatory temporal behaviour (ringdown) of the fluctuations is clearly seen through our analysis of the quasi-normal modes.
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