Our goal is to compute excited states for the nonlinear Schr{\"o}dinger equation in the radial setting. We introduce a new technique based on the Nehari manifold approach and give a comparison with the classical shooting method. We observe that the Nehari method allows to accurately compute excited states on large domains but is relatively slow compared to the shooting method.

翻译：本文旨在计算径向非线性薛定谔方程的激发态。我们提出了一种基于Nehari流形方法的新技术，并将其与经典的打靶法进行了比较。我们观察到，Nehari方法能够在大区域上精确计算激发态，但与打靶法相比计算速度相对较慢。