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arXiv · 2205.13463

Explicit solutions of Schr\"odinger and KdV equations in terms of square roots of the generalised matrix eigenvalues

Alexander Sakhnovich
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Abstract

In this paper, we consider matrix Schr\"odinger equation, dynamical Schr\"odinger equation and matrix KdV. We construct their explicit solutions using our GBDT version of B\"acklund--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.

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BibTeXRIS

Alexander Sakhnovich. 2022-05-26. Explicit solutions of Schr\"odinger and KdV equations in terms of square roots of the generalised matrix eigenvalues. https://doi.org/10.7153/oam-2022-16-76

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