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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 121, Number 1, Pages 165–176
DOI: https://doi.org/10.4213/tmf803 (Mi tmf803) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Third version of the dressing method

A. B. Shabat

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (239 kB) Citations (20)
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DOI: https://doi.org/10.4213/tmf803
Abstract: The two previous versions of the dressing method in soliton theory were elaborated in collaboration with V. E. Zakharov. In our works published in the 1970s, we did not consider discrete equations on a lattice, Painlevé-type equations, and finite-band potentials, and I now make up for this gap. Although the suggested elementary discretization scheme for the linear spectral problem is rather general, the presentation of the material is mainly confined to the framework of the Zakharov–Shabat spectral problem.
Received: 28.04.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 121, Issue 1, Pages 1397–1408
DOI: https://doi.org/10.1007/BF02557235
Bibliographic databases:
Language: Russian
Citation: A. B. Shabat, “Third version of the dressing method”, TMF, 121:1 (1999), 165–176; Theoret. and Math. Phys., 121:1 (1999), 1397–1408
Citation in format AMSBIB
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\pages 1397--1408
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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