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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", 1981, Volume 17, Pages 175–218 (Mi intd50)  
This article is cited in 8 scientific papers (total in 8 papers)

Algebraic aspects of two-dimensional chiral fields. I

I. V. Cherednik
Full-text PDF (2562 kB) Citations (8)
Abstract: Algebraic (in the broad sense of the word) methods of the theory of solitons — the theory of differential equations related to the Korteweg–de Vries equation — are described for the example of two-dimensional, principal, chiral fields.
English version:
Journal of Soviet Mathematics, 1983, Volume 21, Issue 4, Pages 601–636
DOI: https://doi.org/10.1007/BF01084287
Bibliographic databases:
UDC: 514.762.5:517.98:530.145.6
Language: Russian
Citation: I. V. Cherednik, “Algebraic aspects of two-dimensional chiral fields. I”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 17, VINITI, Moscow, 1981, 175–218; J. Soviet Math., 21:4 (1983), 601–636
Citation in format AMSBIB
\Bibitem{Che81}
\by I.~V.~Cherednik
\paper Algebraic aspects of two-dimensional chiral fields.~I
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1981
\vol 17
\pages 175--218
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd50}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628978}
\zmath{https://zbmath.org/?q=an:0509.35052|0489.35053}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 21
\issue 4
\pages 601--636
\crossref{https://doi.org/10.1007/BF01084287}
Linking options:
  • https://www.mathnet.ru/eng/intd50
  • https://www.mathnet.ru/eng/intd/v17/p175
    Cycle of papers
    This publication is cited in the following 8 articles:
    1. Nejat T. Y{\i}lmaz, “Integrated Lax formalism for principal chiral model”, Journal of Mathematical Physics, 51:9 (2010)  crossref
    2. D. K. Demskoi, A. G. Meshkov, “Lax Representation for a Triplet of Scalar Fields”, Theoret. and Math. Phys., 134:3 (2003), 351–364  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. M. Mañas, Aspects of Mathematics, E 23, Harmonic Maps and Integrable Systems, 1994, 147  crossref
    4. A. N. Leznov, V. I. Man'ko, S. M. Chumakov, “Symmetries and soliton solutions of nonlinear equations”, Theoret. and Math. Phys., 63:1 (1985), 356–365  mathnet  crossref  mathscinet  zmath  isi
    5. I. V. Cherednik, “Elliptic curves and matrix soliton differential equations”, J. Soviet Math., 38:3 (1987), 1989–2027  mathnet  mathnet  crossref
    6. I. M. Gel'fand, I. V. Cherednik, “The abstract Hamiltonian formalism for the classical Yang–Baxter bundles”, Russian Math. Surveys, 38:3 (1983), 1–22  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. I. V. Cherednik, “On the group-theoretical interpretation of Baker functions and τ-functions”, Russian Math. Surveys, 38:6 (1983), 113–114  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    8. I. V. Cherednik, “Quantum and classical lattices for two-dimensional principal Chiral fields”, Funct. Anal. Appl., 16:1 (1982), 75–76  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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