论文标题
Schrödinger和KDV方程的显式解决方案，根据广义矩阵特征值的平方根
Explicit solutions of Schrödinger and KdV equations in terms of square roots of the generalised matrix eigenvalues
论文作者
论文摘要
在本文中，我们考虑矩阵Schrödinger方程，动力学Schrödinger方程和矩阵KDV。我们使用我们的GBDT版本的Bäcklund--darboux转换和广义矩阵特征值的平方根构建它们的明确解决方案。一个单独的部分专门用于几个示例，包括强烈奇异电位的情况。
In this paper, we consider matrix Schrödinger equation, dynamical Schrödinger equation and matrix KdV. We construct their explicit solutions using our GBDT version of Bäcklund--Darboux transformation and square roots of the generalised matrix eigenvalues. A separate section is dedicated to several examples including the case of strongly singular potentials.
