论文标题
1dSchrödinger-Kirchhoff方程的站立波的存在和轨道稳定性
Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation
论文作者
论文摘要
在本文中，我们建立了与一维schrödinger-kirchhoff方程相关的常驻波溶液的轨道稳定性。混合术语的存在使我们更多的分散体，因此，与相应的非线性schrödinger方程相反，孤立波的稳定性不同。对于周期性波，我们展示了两种明确的溶液，并证明了能量空间中的轨道稳定性。
In this paper we establish the orbital stability of standing wave solutions associated to the one-dimensional Schrödinger-Kirchhoff equation. The presence of a mixed term gives us more dispersion, and consequently, a different scenario for the stability of solitary waves in contrast with the corresponding nonlinear Schrödinger equation. For periodic waves, we exhibit two explicit solutions and prove the orbital stability in the energy space.
