一类带无界势的四阶色散非线性Schrdinger方程的驻波稳定性

Stability of Standing Waves for Nonlinear Fourth-order Dispersive Schrdinger Equation with Unbounded Potentials

考虑一类带无界势的四阶色散非线性Schrdinger方程,在次临界情形,分析了其整体解的存在性,利用强制变分方法,获得了该类方程驻波解的存在性,并证明了其驻波是轨道稳定的.

This paper is concemed with a nonlinear fourth-order dispersive Schrōdinger equation with unbounded potentials. We analyze the global existence of the solution and also obtain the existence of the standing waves for the system. Furthermore, we prove that the standing waves are orbital stable.