Darboux Transformation for the Non-stationary Shrödinger Equation

Details Darboux Transformation for the Non-stationary Shrödinger Equation Darboux Transformation for the Non-stationary Shrödinger Equation

2005-07-08

arxiv.org/abs/nlin/0507013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

The Lax representation for the nonstationary Schr\"odinger 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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