耦合sine-Gordon方程中孤子与反孤子的辐射湮灭
Radiative annihilation of a soliton and an antisoliton in the coupled sine-Gordon equation
摘要：
在sine-Gordon方程中，孤子和反孤子在没有微扰的情况下不会湮灭。在这里，我提出了耦合sine-Gordon方程中的孤子-反孤子碰撞的数值分析。结果表明，在这样的系统中，孤子反孤子对（呼吸子）甚至在没有微扰的情况下也会湮灭。湮灭发生在呼吸振荡的每一个周期的等离子体波的发射所造成的呼吸通过时间的衰减。这也导致呼吸子和传播波之间的显著耦合，这可能导致在直流驱动系统中的几何共振条件下的自振荡。这种现象对于实现耦合振荡器的超辐射发射可能是有用的。
英文摘要：
In the sine-Gordon equation solitons and antisolitons in the absence of perturbations do not annihilate. Here I present numerical analysis of soliton-antisoliton collisions in the coupled sine-Gordon equation. It is shown that in such a system soliton-antisoliton pairs (breathers) do annihilate even in the absence of perturbations. The annihilation occurs via a logarithmic-in-time decay of a breather caused by emission of plasma waves in every period of breather oscillations. This also leads to a significant coupling between breathers and propagating waves, which may lead to self-oscillations at the geometrical resonance conditions in a dc-driven system. The phenomenon may be useful for achieving superradiant emission from coupled oscillators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
