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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 405–409
DOI: https://doi.org/10.4213/tmf1865 (Mi tmf1865) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane

N. Olver, I. V. Barashenkov

University of Cape Town
Full-text PDF (167 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf1865
Abstract: We present a new vorticity-raising transformation for the second integrable complexification of the sine-Gordon equation on the plane. The new transformation is a product of four Schlesinger maps of the Painleve-V equation to itself and allows constructing the $n$-vortex solution more efficiently than the previously reported transformation comprising a product of $2n$ maps.
Keywords: vortices, Backlund transformations, Painleve-V equation, complex sine-Gordon equation.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1223–1226
DOI: https://doi.org/10.1007/s11232-005-0153-3
Bibliographic databases:
Language: Russian
Citation: N. Olver, I. V. Barashenkov, “Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane”, TMF, 144:2 (2005), 405–409; Theoret. and Math. Phys., 144:2 (2005), 1223–1226
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1223--1226
\crossref{https://doi.org/10.1007/s11232-005-0153-3}
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  • https://www.mathnet.ru/eng/tmf1865
  • https://doi.org/10.4213/tmf1865
  • https://www.mathnet.ru/eng/tmf/v144/i2/p405
    • This publication is cited in the following 9 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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    Full-text PDF :237
    References:62
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