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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 2, Pages 317–326
DOI: https://doi.org/10.4213/tmf538 (Mi tmf538) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Continuum Limit of the Triple Tau-Function Model

V. V. Mangazeeva, S. M. Sergeevb

a Australian National University
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Full-text PDF (192 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf538
Abstract: We present a system of integrable second-order differential equations for three fields in the three-dimensional space-time. The system is obtained as the continuum limit of discrete equations for a triplet of tau-functions. We give a parameterization of the soliton solutions of equations of motion, describe the linear problem, and establish the integrability of the corresponding classical field theory.
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 2, Pages 1573–1580
DOI: https://doi.org/10.1023/A:1012891325231
Bibliographic databases:
Language: Russian
Citation: V. V. Mangazeev, S. M. Sergeev, “Continuum Limit of the Triple Tau-Function Model”, TMF, 129:2 (2001), 317–326; Theoret. and Math. Phys., 129:2 (2001), 1573–1580
Citation in format AMSBIB
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\paper Continuum Limit of the Triple Tau-Function Model
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\pages 317--326
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\zmath{https://zbmath.org/?q=an:1037.81077}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 129
\issue 2
\pages 1573--1580
\crossref{https://doi.org/10.1023/A:1012891325231}
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Linking options:
  • https://www.mathnet.ru/eng/tmf538
  • https://doi.org/10.4213/tmf538
  • https://www.mathnet.ru/eng/tmf/v129/i2/p317
    • This publication is cited in the following 3 articles:
    1. Sergey M. Sergeev, “On difference equations with 'B'-type solitons on three dimensional lattice”, Partial Differential Equations in Applied Mathematics, 11 (2024), 100793  crossref
    2. Vassiliou P.J., “Method for Solving the Multidimensional n-Wave Resonant Equations and Geometry of Generalized Darboux-Manakov-Zakharov Systems”, Stud Appl Math, 126:3 (2011), 203–243  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    3. Sergeev, SM, “Quantization of three-wave equations”, Journal of Physics A-Mathematical and Theoretical, 40:42 (2007), 12709  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    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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    References:49
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