This article is cited in 1 paper

The dressing method and separation of variables: The two-dimensional case

V. G. Marikhin

Landau Institute for Theoretical Physics, RAS, Moscow, Russia

Abstract: Separation of variables is very convenient for obtaining solutions of linear differential equations in explicit form. We use the dressing method to widen the class of such equations. As an example, we dress a two-dimensional linear differential operator, including an operator with constant coefficients.

Keywords: separation of variables, dressing method, Schrödinger operator.

Received: 04.03.2009
Revised: 25.03.2009

DOI: 10.4213/tmf6444

 English version: Theoretical and Mathematical Physics, 2009, 161:3, 1599–1603

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