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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 3, Pages 327–331
DOI: https://doi.org/10.4213/tmf6444
(Mi tmf6444)
 

This article is cited in 1 scientific paper (total 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
Full-text PDF (283 kB) Citations (1)
References:
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
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 3, Pages 1599–1603
DOI: https://doi.org/10.1007/s11232-009-0148-6
Bibliographic databases:
Language: Russian
Citation: V. G. Marikhin, “The dressing method and separation of variables: The two-dimensional case”, TMF, 161:3 (2009), 327–331; Theoret. and Math. Phys., 161:3 (2009), 1599–1603
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6444
  • https://doi.org/10.4213/tmf6444
  • https://www.mathnet.ru/eng/tmf/v161/i3/p327
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:791
    Full-text PDF :253
    References:79
    First page:29
     
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