论文标题
在klein的光谱和轨道稳定性上 - 戈登方程与非谐振荡器耦合
On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator
论文作者
论文摘要
我们获得了单生波解的光谱和轨道稳定性的明确表征,以一个空间尺寸与Anharmonic振荡器耦合,以$ \ MATHBF {u}(1)$ - 不变的klein-gordon方程。我们还对孤立波的线性化光谱进行了完整分析。
We obtain explicit characterization of spectral and orbital stability of solitary wave solutions to the $\mathbf{U}(1)$-invariant Klein--Gordon equation in one spatial dimension coupled to an anharmonic oscillator. We also give the complete analysis of the spectrum of the linearization at a solitary wave.