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：我们的目标是在径向对称设定下计算非线性薛定谔方程的激发态。我们引入了一种基于Nehari流形的新方法，并与经典的打靶法进行了比较。我们观察到，Nehari方法能够在大计算域上精确计算激发态，但相较于打靶法，其计算速度相对较慢。