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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika

TMF, 2004, Volume 141, Number 1, Pages 3–23 (Mi tmf113)

Factorization of the Loop Algebra and Integrable Toplike Systems
I. Z. Golubchik, V. V. Sokolov

This publication is cited in the following articles:
  1. R. Abedin, S. Maximov, A. Stolin, “Generalized classical Yang-Baxter equation and regular decompositions”, Lett Math Phys, 115:3 (2025)  crossref
  2. V. V. Sokolov, “Integrable Hamiltonians related to the $\mathfrak{e}(3)$, $\mathfrak{so}(4)$, and $\mathfrak{so}(3,1)$ Poisson brackets”, Theoret. and Math. Phys., 223:2 (2025), 742–754  mathnet  crossref  crossref  mathscinet  adsnasa
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  4. A. V. Vershilov, Yu. A. Grigorev, A. V. Tsyganov, “Ob odnoi integriruemoi deformatsii volchka Kovalevskoi”, Nelineinaya dinam., 10:2 (2014), 223–236  mathnet
  5. R. A. Atnagulova, I. Z. Golubchik, “Novye resheniya uravneniya Yanga–Bakstera s kvadratom”, Ufimsk. matem. zhurn., 4:3 (2012), 6–16  mathnet  mathscinet
  6. Legare M., “Samples of noncommutative products in certain differential equations”, J. Phys. A: Math. Theor., 43:44 (2010), 445208  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
  7. Odesskii A, Sokolov V, “Pairs of compatible associative algebras, classical Yang–Baxter equation and quiver representations”, Communications in Mathematical Physics, 278:1 (2008), 83–99  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
  8. Demskoi, DK, “On recursion operators for elliptic models”, Nonlinearity, 21:6 (2008), 1253  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
  9. I. Z. Golubchik, V. V. Sokolov, “Compatible Lie Brackets and the Yang–Baxter Equation”, Theoret. and Math. Phys., 146:2 (2006), 159–169  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  10. Dimakis A, Muller-Hoissen F, “From AKNS to derivative NLS hierarchies via deformations of associative products”, Journal of Physics A-Mathematical and General, 39:45 (2006), 14015–14033  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
  11. Odesskii AV, Sokolov VV, “Integrable matrix equations related to pairs of compatible associative algebras”, Journal of Physics A-Mathematical and General, 39:40 (2006), 12447–12456  crossref  mathscinet  zmath  isi  scopus  scopus
  12. Sokolov VV, Wolf T, “Integrable quadratic classical Hamiltonians on so(4) and so(3,1)”, Journal of Physics A-Mathematical and General, 39:8 (2006), 1915–1926  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
  13. Odesskii AV, Sokolov VV, “Compatible Lie brackets related to elliptic curve”, Journal of Mathematical Physics, 47:1 (2006), 013506  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
  14. O. V. Efimovskaya, “Factorization of loop algebras over $\mathrm{so}(4)$ and integrable nonlinear differential equations”, J. Math. Sci., 144:2 (2007), 3926–3937  mathnet  crossref  mathscinet  zmath  elib
  15. S. A. Albeverio, A. Yu. Khrennikov, V. M. Shelkovich, “Non-linear singular problems in $p$-adic analysis: associative algebras of $p$-adic distributions”, Izv. Math., 69:2 (2005), 221–263  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
  16. Golubchik IZ, Sokolov VV, “Factorization of the loop algebras and compatible Lie brackets”, Journal of Nonlinear Mathematical Physics, 12 (2005), 343–350, Suppl. 1  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus


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