论文标题

具有准周期边界条件的立方非线性schrödinger方程的固定解决方案

Stationary solutions to cubic nonlinear Schrödinger equations with quasi-periodic boundary conditions

论文作者

Sacchetti, Andrea

论文摘要

在本文中,我们给出\ emph {量化规则},以在给定的间隔内用准周期条件来确定Cubic非线性schrödinger方程的归一化固定解。 \类似于线性周期性运算符的Floquet理论中发生的事情,在这种情况下,存在某种频段函数。

In this paper we give the \emph {quantization rules} to determine the normalized stationary solutions to the cubic nonlinear Schrödinger equation with quasi-periodic conditions on a given interval. \ Similarly to what happen in the Floquet's theory for linear periodic operators, also in this case some kind of band functions there exist.

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