论文标题
在一个空间维度中的核子的非线性schr {Ö} dinger方程
On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension
论文作者
论文摘要
我们研究了原子核内部粒子的描述中出现的一维非线性schr {Ö} dinger方程。对于各种非线性，讨论并以显式形式给出地面状态。它们的稳定性通过扰动基态的时间演变进行数值研究。在一般局部初始数据的时间演变中，它们被证明出现在某些情况的长期行为中。
We study a 1D nonlinear Schr{ö}dinger equation appearing in the description of a particle inside an atomic nucleus. For various nonlinearities, the ground states are discussed and given in explicit form. Their stability is studied numerically via the time evolution of perturbed ground states. In the time evolution of general localized initial data, they are shown to appear in the long time behaviour of certain cases.
