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Theoretical and Mathematical Physics

, Volume 161, Issue 3, pp 1599–1603 | Cite as

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

  • V. G. Marikhin
Article

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 

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Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Landau Institute for Theoretical Physics, RASMoscowRussia

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