论文标题
“ ABCD” BousSinesQ系统的周期性行驶波的轨道稳定性
Orbital Stability of Periodic Traveling Waves for the "abcd" Boussinesq Systems
论文作者
论文摘要
有关“ ABCD” BousSinesQ模型的周期性行驶波解决方案的轨道稳定性的新结果将在本手稿中显示。对于解决方案的存在，我们使用普通微分方程的基本工具来表明相应的周期性波动取决于cNoidal类型的Jacobi椭圆函数。相关线性化运算符的光谱分析是通过使用有关Floquet理论的一些工具来确定的。然后，通过应用抽象结果[2]和[14]来确定轨道稳定性，从而为我们提供了足够的条件，可以使轨道稳定性的轨道稳定性用于一般类别的进化方程。
New results concerning the orbital stability of periodic traveling wave solutions for the "abcd" Boussinesq model will be shown in this manuscript. For the existence of solutions, we use basic tools of ordinary differential equations to show that the corresponding periodic wave depends on the Jacobi elliptic function of cnoidal type. The spectral analysis for the associated linearized operator is determined by using some tools concerning the Floquet theory. The orbital stability is then established by applying the abstract results [2] and [14] which give us sufficient conditions to the orbital stability for a general class of evolution equations.
