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Meshkov, Anatoly Georgievich
Statistics Math-Net.Ru
Total publications: 17
Scientific articles: 17

Number of views:
This page:928
Abstract pages:7334
Full texts:2829
References:1037
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.04.02 (Theoretical physics)
E-mail: ,
Keywords: completely integrable systems, higher symmetries, conservation laws, Lax representations, Bäcklund transformations, differential substitutions.
   
Main publications:
  • Meshkov A. G., Necessary conditions of the integrability, Inverse Problems, 1994, v. 10, no. 3, p. 635–653.
  • Handbook of Lie Group Analysis of Differential Equations, vol. 2, London, Tokyo, CRC Press, 1995, p. 93–202. Ed. Ibragimov N. H.
  • Meshkov A. G., Sokolov V. V., Integrable evolution equations on the N-dimensional sphere, Commun. Math. Phys., 2002, v. 232, no. 1, p. 1–18.
  • Demskoi D. K., Meshkov A. G., Zero-curvature representation for a chiral-type three-field system, Inverse Problems, 2003, vol. 19, p. 563–571.
  • Meshkov A. G., Sokolov V. V., Klassifikatsiya integriruemykh divergentnykh N-komponentnykh evolyutsionnykh sistem, Teor. i mat. fiz., 2004, t. 139, # 2, s. 192–208.
  • Meshkov A. G., K simmetriinoi klassifikatsii evolyutsionnykh sistem tretego poryadka divergentnogo vida, Fundam. i prikl. matematika, 2006, t. 12, # 7, s. 141–161.

https://www.mathnet.ru/eng/person18557
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/200915

Publications in Math-Net.Ru Citations
2022
1. A. G. Meshkov, M. Yu. Balakhnev, “On a Class of Integrable Evolution Vector Equations of 3rd Order”, Mat. Zametki, 112:1 (2022),  88–94  mathnet  mathscinet; Math. Notes, 112:1 (2022), 93–99  scopus 1
2012
2. A. G. Meshkov, V. V. Sokolov, “Integrable evolution equations with a constant separant”, Ufimsk. Mat. Zh., 4:3 (2012),  104–154  mathnet 19
2011
3. A. G. Meshkov, V. V. Sokolov, “Hyperbolic equations with third-order symmetries”, TMF, 166:1 (2011),  51–67  mathnet  mathscinet; Theoret. and Math. Phys., 166:1 (2011), 43–57  isi  scopus 19
2010
4. M. Yu. Balakhnev, A. G. Meshkov, “Integrable vector evolution equations admitting zeroth-order conserved densities”, TMF, 164:2 (2010),  207–213  mathnet  zmath; Theoret. and Math. Phys., 164:2 (2010), 1002–1007  isi  scopus 3
2009
5. A. G. Meshkov, “Vector hyperbolic equations with higher symmetries”, TMF, 161:2 (2009),  176–190  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 161:2 (2009), 1471–1484  isi  scopus 2
2008
6. Anatoly G.G. Meshkov, Maxim Ju. Balakhnev, “Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions”, SIGMA, 4 (2008), 018, 29 pp.  mathnet  mathscinet  zmath  isi  scopus 10
7. A. G. Meshkov, “Nonlocal symmetries in two-field divergent evolutionary systems”, TMF, 156:3 (2008),  351–363  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 156:3 (2008), 1268–1279  isi  elib  scopus 1
2006
8. A. G. Meshkov, “On symmetry classification of third order evolutionary systems of divergent type”, Fundam. Prikl. Mat., 12:7 (2006),  141–161  mathnet  mathscinet  zmath; J. Math. Sci., 151:4 (2008), 3167–3181  scopus 6
9. D. K. Demskoi, V. G. Marikhin, A. G. Meshkov, “Lax representations for triplets of two-dimensional scalar fields of the chiral type”, TMF, 148:2 (2006),  189–205  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 148:2 (2006), 1034–1048  isi  scopus 9
2005
10. Anatoly G. Meshkov, Maxim Ju. Balakhnev, “Integrable Anisotropic Evolution Equations on a Sphere”, SIGMA, 1 (2005), 027, 11 pp.  mathnet  mathscinet  zmath  isi 13
2004
11. A. G. Meshkov, V. V. Sokolov, “Classification of Integrable Divergent $N$-Component Evolution Systems”, TMF, 139:2 (2004),  192–208  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 139:2 (2004), 609–622  isi 24
2003
12. D. K. Demskoi, A. G. Meshkov, “Lax Representation for a Triplet of Scalar Fields”, TMF, 134:3 (2003),  401–415  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 134:3 (2003), 351–364  isi 11
1993
13. A. G. Meshkov, “Generalized antisymmetry conditions and their applications”, Mat. Zametki, 54:2 (1993),  39–43  mathnet  mathscinet  zmath; Math. Notes, 54:2 (1993), 794–797  isi
1987
14. A. G. Meshkov, B. B. Mikhalyaev, “Equations of gas dynamics admitting an infinite number of symmetries”, TMF, 72:2 (1987),  163–171  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 72:2 (1987), 795–801  isi 7
1985
15. A. G. Meshkov, “Symmetries of scaler fields. III. Two-dimensional integrable models”, TMF, 63:3 (1985),  323–332  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 63:3 (1985), 539–545  isi 5
1983
16. A. G. Meshkov, “Symmetries of scalar fields. II”, TMF, 57:3 (1983),  382–391  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 57:3 (1983), 1209–1216  isi 1
17. A. G. Meshkov, “Symmetries of scalar fields. I”, TMF, 55:2 (1983),  197–204  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 55:2 (1983), 445–450  isi 5

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