Darboux transformation for the nonstationary Schrödinger equation
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 94-104 Cet article a éte moissonné depuis la source Math-Net.Ru

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A 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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     title = {Darboux transformation for the nonstationary {Schr\"odinger} equation},
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E. Sh. Gutshabash. Darboux transformation for the nonstationary Schrödinger equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 94-104. http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a5/

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