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Darboux Transformation for the Non-stationary Shrödinger Equation

E. Sh. Gutshabash
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Abstract

The Lax representation for the nonstationary Schrödinger equation with rather arbitrary potential is proposed. Some examples of the construction of exact solutions are given by means of Darboux Transformation method.

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E. Sh. Gutshabash. 2005-07-08. Darboux Transformation for the Non-stationary Shrödinger Equation. https://arxiv.org/abs/nlin/0507013

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