论文标题
高度分散媒体中拓扑孤子振荡的内部模式
Internal modes of oscillations of topological solitons in highly dispersive media
论文作者
论文摘要
稳定性和分散正弦 - 戈尔登和$φ^4 $ - 方程的唯一（扭结）线性激发的问题得到了准确解决。结果表明，总频谱由内部模式的离散频率和连续波的单个带谱组成。数值模拟表明，高度分散系统中单个孤子的翻译运动伴随着其内部动力学的产生，在某些情况下是呼吸器的产生，并且总是通过产生向后辐射。从数值上显示，两个拓扑孤子的快速运动导致在色散正弦系统系统中形成结合的孤子复合物。
The problem of stability and spectrum of linear excitations of a soliton (kink) of the dispersive sine-Gordon and $φ^4$ - equations is solved exactly. It is shown that the total spectrum consists of a discrete set of frequencies of internal modes and a single band spectrum of continuum waves. It is indicated by numerical simulations that a translation motion of a single soliton in the highly dispersive systems is accompanied by the arising of its internal dynamics and, in some cases, creation of breathers, and always by generation of the backward radiation. It is shown numerically that a fast motion of two topological solitons leads to a formation of the bound soliton complex in the dispersive sine-Gordon system.
