一类一维临界非线性薛定谔方程组解的渐近行为

摘要

讨论了一类一维临界非线性薛定谔方程组解的渐近行为。在粒子质量满足一定关系的条件下，通过运用所研究非线性薛定谔方程组解的衰减估计，得出了此类方程组渐近自由解的非存在性。%This paper concerns the asymptotic behavior of the system of time dependent Schr¨odinger equations with critical nonlinearities in one space dimension.Under some mass conditions,we show that there does not exist any asymptotic free solutions to the system by using the time decay estimates of nonlinear solutions.