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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2004 Volume 317, Pages 94–104 (Mi znsl716)
This article is cited in 5 papers

Darboux transformation for the nonstationary Schrödinger equation

E. Sh. Gutshabash

V. A. Fock Institute of Physics, Saint-Petersburg State University

Abstract: 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.

UDC: 517.9


 English version: Journal of Mathematical Sciences (New York), 2006, 136:1, 3580–3585

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