The time-dependent Schrödinger equation of dimensionk+ 1: explicit and rational solutions via GBDT and multinodes

DOI10.1088/1751-8113/44/47/475201zbMath1231.35190arXiv1104.2554OpenAlexW3101348862MaRDI QIDQ3103768

Alexander L. Sakhnovich

Publication date: 8 December 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2554

zbMATH Keywords

potentialinvertibilitytime-dependent Schrödinger equationbinary Darboux transformationgeneralized Bäcklund-Darboux transformationmultinode matrix

Mathematics Subject Classification ID

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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