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ЖУРНАЛЫ // Функциональный анализ и его приложения

Функц. анализ и его прил., 1993, том 27, выпуск 4, страницы 40–53 (Mi faa726)

Йордановы алгебры и интегрируемые системы
С. И. Свинолупов

Эта публикация цитируется в следующих статьяx:
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  10. Da-Wei Zuo, Yi-Tian Gao, Gao-Qing Meng, Yu-Jia Shen, Xin Yu, “Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system”, Nonlinear Dyn, 75:4 (2014), 701  crossref
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  15. ÖMER OĞUZ, DEVRIM YAZICI, “MULTIPLE LOCAL LAGRANGIANS FOR n-COMPONENT SUPER-KORTEWEG–DE VRIES-TYPE BI-HAMILTONIAN SYSTEMS”, Int. J. Mod. Phys. A, 25:05 (2010), 1069  crossref
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  17. Deng-Shan Wang, “Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation”, Applied Mathematics and Computation, 216:4 (2010), 1349  crossref
  18. Yuan-Hao Cao, Deng-Shan Wang, “Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation”, Communications in Nonlinear Science and Numerical Simulation, 15:9 (2010), 2344  crossref
  19. Takayuki Tsuchida, Thomas Wolf, “Classification of polynomial integrable systems of mixed scalar and vector evolution equations: I”, J. Phys. A: Math. Gen., 38:35 (2005), 7691  crossref
  20. AYŞE KARASU(KALKANLI), TUBA KILIÇ, “INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM”, Int. J. Mod. Phys. C, 15:05 (2004), 609  crossref
  21. Metin Gürses, Atalay Karasu, Refik Turhan, “Non-autonomous Svinolupov-Jordan KdV systems”, J. Phys. A: Math. Gen., 34:28 (2001), 5705  crossref
  22. Devrim Yazici, Oya Oguz, Ömer Oguz, “Multi-component bi-super Hamiltonian KdV systems”, J. Phys. A: Math. Gen., 34:37 (2001), 7713  crossref
  23. Mikhail V Foursov, “On integrable coupled KdV-type systems”, Inverse Problems, 16:1 (2000), 259  crossref
  24. Takayuki Tsuchida, Miki Wadati, “Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems”, J. Phys. Soc. Jpn., 68:7 (1999), 2241  crossref
  25. Takayuki Tsuchida, Miki Wadati, “New integrable systems of derivative nonlinear Schrödinger equations with multiple components”, Physics Letters A, 257:1-2 (1999), 53  crossref
  26. Metin Gürses, Atalay Karasu, “Integrable KdV systems: Recursion operators of degree four”, Physics Letters A, 251:4 (1999), 247  crossref
  27. Takayuki Tsuchida, Miki Wadati, “Complete integrability of derivative nonlinear Schrödinger-type equations”, Inverse Problems, 15:5 (1999), 1363  crossref
  28. И. З. Голубчик, В. В. Соколов, “Интегрируемые уравнения на $\mathbb Z$-градуированных алгебрах Ли”, ТМФ, 112:3 (1997), 375–383  mathnet  crossref  mathscinet  zmath; I. Z. Golubchik, V. V. Sokolov, “Integrable equations on $\mathbb Z$-graded Lie algebras”, Theoret. and Math. Phys., 112:3 (1997), 1097–1103  crossref  isi  elib
  29. Ayşe (Kalkanh) Karasu, “Jordan KdV systems and Painlevé property”, Int J Theor Phys, 36:3 (1997), 705  crossref
  30. Ayşe (Kalkanli) Karasu, “Painlevé classification of coupled Korteweg–de Vries systems”, Journal of Mathematical Physics, 38:7 (1997), 3616  crossref
  31. С. И. Свинолупов, В. В. Соколов, “Деформации йордановых тройных систем и интегрируемые уравнения”, ТМФ, 108:3 (1996), 388–392  mathnet  crossref  mathscinet  zmath; S. I. Svinolupov, V. V. Sokolov, “Deformations of triple Jordan systems and integrable equations”, Theoret. and Math. Phys., 108:3 (1996), 1160–1163  crossref  isi
  32. Metin Gürses, Atalay Karasu, “Degenerate Svinolupov KdV systems”, Physics Letters A, 214:1-2 (1996), 21  crossref
  33. А. Я. Казаков, “Схема Риккати интегрирования нелинейных систем дифференциальных уравнений”, ТМФ, 102:3 (1995), 352–363  mathnet  mathscinet  zmath; A. Ya. Kazakov, “Riccati scheme for integrating nonlinear systems of differential equations”, Theoret. and Math. Phys., 102:3 (1995), 257–264  crossref  isi
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