论文标题
引入阶段跳跃跟踪 - 直接评估Zakharov-Shabat问题特征值评估的快速方法
Introducing phase jump tracking -- a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem
论文作者
论文摘要
我们提出了一种新的方法，用于为直接的Zakharov-Shabat问题找到离散的特征值，基于在复杂平面沿函数$ a（ζ）$的参数跳跃中移动，其本地化不需要非常准确。它允许与矩阵方法和轮廓积分更快地考虑其多重性，从而找到所有离散的特征值。在计算速度和准确性的大型离散频谱时，该方法比其他方法具有显着优势。
We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat problem, based on moving in the complex plane along the argument jumps of the function $a(ζ)$, the localization of which does not require great accuracy. It allows to find all discrete eigenvalues taking into account their multiplicity faster than matrix methods and contour integrals. The method shows significant advantage over other methods when calculating a large discrete spectrum, both in speed and accuracy.
