论文标题
具有立方非线性的Schrodinger系统的多个周期性波的光谱稳定性
Spectral stability of multiple periodic waves for the Schrodinger system with cubic nonlinearity
论文作者
论文摘要
关于具有\ textIt {dnoidal}和\ textit {cnoidal}的非线性schrödinger系统的多个周期性波解决方案的存在和光谱稳定性和不稳定性的结果将在此手稿中确定。通过使用Floquet理论的比较定理和工具来确定相应线性化操作员的光谱分析。主要结果是通过在\ cite {kapitulakevrekidissandstedei}中应用光谱稳定性理论和\ cite {kapitulakevrekidissandstedeii}来确定的。
Results concerning the existence and spectral stability and instability of multiple periodic wave solutions for the nonlinear Schrödinger system with \textit{dnoidal} and \textit{cnoidal} profile will be determined in this manuscript. The spectral analysis for the corresponding linearized operator is established by using the comparison theorem and tools of Floquet theory. The main results are determined by applying the spectral stability theory in \cite{KapitulaKevrekidisSandstedeI} and \cite{KapitulaKevrekidisSandstedeII} via Krein signature.
