论文标题
一维立方非线性散热器方程的LAX操作员的特征值分析
Eigenvalue analysis of the Lax operator for the one-dimensional cubic nonlinear defocusing Schrödinger equation
论文作者
论文摘要
我们表征了与一维立方非线性散热器方程相关的LAX运算符的特征值的位置和数量。借助新发现的统一矩阵，分析减少了单位等效运算符的光谱问题的研究，这仅涉及电位的幅度和相位速度。研究了具有特殊振幅和相速度的电势的例子。
We characterize the location and number of eigenvalues for the Lax operator associated to the one-dimensional cubic nonlinear defocusing Schrödinger equation. With the help of a newly discovered unitary matrix, the analysis reduces to the study of the spectral problem for a unitarily equivalent operator, which involves only the amplitude and the phase velocity of the potential. Examples of potentials with special amplitude and phase velocity are investigated.
