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Ibragimov, Nail Hairullovich
(1939–2018)

Statistics Math-Net.Ru
Total publications: 40
Scientific articles: 40
Talks: 1

Number of views:
This page:7674
Abstract pages:33965
Full texts:16781
Talk pages:862
Video records:279
Ibragimov, Nail Hairullovich
Professor
Doctor of physico-mathematical sciences
Birth date: 18.01.1939
Website: https://gammett.ugatu.su, http://www.bth.se/alga
Keywords: Group analysis, mathematical modelling.
UDC: 517.958, 519.46, 517.957, 517.944, 517.946, 537.84

Subject:

Group analysis, differential equations,mathematical physics, mathematical modelling, Riemannian geometry.

   
Main publications:
  1. N.Kh. Ibragimov, “Konformanaya invariantnost i printsip Gyuigensa”, Doklady Akademii nauk SSSR, 194:1 (1970), 24-27
  2. N.Kh. Ibragimov, “Invariantnye variatsionnye zadachi i zakony sokhraneniya (zamechaniya k teoreme Neter)”, Teoreticheskaya i matematicheskaya fizika, 1:3 (1969), 350-359
  3. N.Kh. Ibragimov, “K teorii grupp preobrazovanii Li-Beklunda”, Matematicheskii sbornik, 109 (151):2 (1979), 229-253
  4. N.Kh. Ibragimov, Gruppy preobrazovanii v matematicheskoi fizike, Nauka, Moskva, 1983
  5. N.H. Ibragimov, A practical course in differential equations and mathematical modelling., Russkii per.: Prakticheskii differentsialnykh uravnenii i matematicheskogo modelirovaniya. Fizmatlit. 2012, Higher Education Press and World Scientific, Beijing, Singapore, 2009

https://www.mathnet.ru/eng/person22634
https://en.wikipedia.org/wiki/Nail_H._Ibragimov
List of publications on Google Scholar
https://zbmath.org/authors/ai:ibragimov.nail-h
https://mathscinet.ams.org/mathscinet/MRAuthorID/218732

Publications in Math-Net.Ru Citations
2014
1. R. K. Gazizov, N. H. Ibragimov, “Approximate symmetries and solutions of the Kompaneets equation”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014),  38–42  mathnet  elib; J. Appl. Mech. Tech. Phys., 55:2 (2014), 220–224 8
2013
2. N. Kh. Ibragimov, E. D. Avdonina, “Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws”, Uspekhi Mat. Nauk, 68:5(413) (2013),  111–146  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:5 (2013), 889–921  isi  elib  scopus 75
2012
3. N. H. Ibragimov, C. Rogers, “On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness”, Ufimsk. Mat. Zh., 4:4 (2012),  196–207  mathnet 2
4. A. A. Alexandrova, N. H. Ibragimov, K. V. Imamutdinova, V. O. Lukashchuk, “Local and nonlocal conserved vectors for the nonlinear filtration equation”, Ufimsk. Mat. Zh., 4:4 (2012),  179–185  mathnet 5
5. E. D. Avdonina, N. H. Ibragimov, “Equivalence group analysis and nonlinear self-adjointness of the generalized Kompaneets equation”, Ufimsk. Mat. Zh., 4:1 (2012),  6–16  mathnet 2
2004
6. N. H. Ibragimov, “Invariants of hyperbolic equations: solution of the Laplace problem”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004),  11–21  mathnet  elib; J. Appl. Mech. Tech. Phys., 45:2 (2004), 158–166 28
1994
7. V. A. Baikov, R. K. Gazizov, N. H. Ibragimov, “Approximate equivalence transformations”, Differ. Uravn., 30:10 (1994),  1659–1664  mathnet  mathscinet; Differ. Equ., 30:10 (1994), 1531–1535
1993
8. N. H. Ibragimov, “Seven notes on group analysis”, Differ. Uravn., 29:10 (1993),  1739–1750  mathnet  mathscinet; Differ. Equ., 29:10 (1993), 1511–1520
9. V. A. Baikov, R. K. Gazizov, N. H. Ibragimov, “Approximate groups of transformations”, Differ. Uravn., 29:10 (1993),  1712–1732  mathnet  mathscinet; Differ. Equ., 29:10 (1993), 1487–1504 10
1992
10. N. Kh. Ibragimov, “Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the 150th anniversary of Sophus Lie)”, Uspekhi Mat. Nauk, 47:4(286) (1992),  83–144  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:4 (1992), 89–156  isi 77
1991
11. N. Kh. Ibragimov, A. O. Oganesyan, “The hierarchy of Huygens equations in spaces with a non-trivial conformal group”, Uspekhi Mat. Nauk, 46:3(279) (1991),  111–146  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:3 (1991), 137–176  isi 11
12. V. A. Baikov, R. K. Gazizov, N. Kh. Ibragimov, “Approximate symmetries and preservation laws”, Trudy Mat. Inst. Steklov., 200 (1991),  35–45  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 200 (1993), 35–47 1
1989
13. V. A. Baikov, R. K. Gazizov, N. Kh. Ibragimov, “Perturbation methods in group analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34 (1989),  85–147  mathnet  mathscinet  zmath; J. Soviet Math., 55:1 (1991), 1450–1490 83
14. I. Sh. Akhatov, R. K. Gazizov, N. Kh. Ibragimov, “Nonlocal symmetries. Heuristic approach”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34 (1989),  3–83  mathnet  mathscinet  zmath; J. Soviet Math., 55:1 (1991), 1401–1450 152
15. A. V. Bobylev, N. Kh. Ibragimov, “Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics”, Mat. Model., 1:3 (1989),  100–109  mathnet  mathscinet  zmath 2
16. V. A. Baikov, R. K. Gazizov, N. H. Ibragimov, “Approximate symmetry and formal linearization”, Prikl. Mekh. Tekh. Fiz., 30:2 (1989),  40–49  mathnet; J. Appl. Mech. Tech. Phys., 30:2 (1989), 204–212 14
1988
17. V. A. Baikov, R. K. Gazizov, N. H. Ibragimov, “Linearization and formal symmetries of the Korteweg-de Vries equation”, Dokl. Akad. Nauk SSSR, 303:4 (1988),  781–784  mathnet  mathscinet  zmath; Dokl. Math., 38:3 (1989), 588–591
18. V. A. Baikov, R. K. Gazizov, N. H. Ibragimov, “Approximate group analysis of the nonlinear equation $u_{tt}-(f(u)u_x)_x+\varepsilon\varphi(u)u_t=0$”, Differ. Uravn., 24:7 (1988),  1127–1138  mathnet  mathscinet; Differ. Equ., 24:7 (1988), 719–728
19. V. A. Baikov, R. K. Gazizov, N. Kh. Ibragimov, “Approximate symmetries”, Mat. Sb. (N.S.), 136(178):4(8) (1988),  435–450  mathnet  mathscinet  zmath; Math. USSR-Sb., 64:2 (1989), 427–441 118
1987
20. I. Sh. Akhatov, R. K. Gazizov, N. H. Ibragimov, “Bäcklund transforms and nonlocal symmetries”, Dokl. Akad. Nauk SSSR, 297:1 (1987),  11–14  mathnet  mathscinet  zmath
21. I. Sh. Akhatov, R. K. Gazizov, N. H. Ibragimov, “Quasilocal symmetries of equations of nonlinear heat-conduction type”, Dokl. Akad. Nauk SSSR, 295:1 (1987),  75–78  mathnet  mathscinet  zmath 2
22. I. Sh. Akhatov, R. K. Gazizov, N. H. Ibragimov, “Group classification of equations of nonlinear filtration”, Dokl. Akad. Nauk SSSR, 293:5 (1987),  1033–1035  mathnet  mathscinet  zmath 1
1980
23. N. Kh. Ibragimov, A. B. Shabat, “Infinite Lie–Beklund algebras”, Funktsional. Anal. i Prilozhen., 14:4 (1980),  79–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:4 (1980), 313–315  isi 52
24. N. Kh. Ibragimov, A. B. Shabat, “Evolutionary equations with nontrivial Lie–Bäcklund group”, Funktsional. Anal. i Prilozhen., 14:1 (1980),  25–36  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:1 (1980), 19–28 73
1979
25. A. V. Zhiber, N. H. Ibragimov, A. B. Shabat, “Equations of Liouville type”, Dokl. Akad. Nauk SSSR, 249:1 (1979),  26–29  mathnet  mathscinet  zmath 21
26. N. H. Ibragimov, A. B. Shabat, “Korteweg–de Vries equation from the group standpoint”, Dokl. Akad. Nauk SSSR, 244:1 (1979),  57–61  mathnet  mathscinet 16
27. N. Kh. Ibragimov, “On the theory of Lie–Bäcklund transformation groups”, Mat. Sb. (N.S.), 109(151):2(6) (1979),  229–253  mathnet  mathscinet  zmath; Math. USSR-Sb., 37:2 (1980), 205–226  isi 20
1977
28. N. Kh. Ibragimov, E. V. Mamontov, “On the Сauchy problem for the equation $u_{tt}-u_{xx}-\sum_{i,j=1}^{n-1}a_{ij}(x-t)u_{y_iy_j}=0$”, Mat. Sb. (N.S.), 102(144):3 (1977),  391–409  mathnet  mathscinet  zmath; Math. USSR-Sb., 31:3 (1977), 347–363  isi 10
1976
29. N. H. Ibragimov, “Lie–Bäcklund groups and conservation laws”, Dokl. Akad. Nauk SSSR, 230:1 (1976),  26–29  mathnet 2
30. N. H. Ibragimov, R. L. Anderson, “Groups of Lie–Bäcklund contact transformations”, Dokl. Akad. Nauk SSSR, 227:3 (1976),  539–542  mathnet  mathscinet  zmath 4
1973
31. N. H. Ibragimov, “Conservation laws in hydrodynamics”, Dokl. Akad. Nauk SSSR, 210:6 (1973),  1307–1309  mathnet  mathscinet  zmath 2
1970
32. N. H. Ibragimov, “Conformal invariance and Huygens' principle”, Dokl. Akad. Nauk SSSR, 194:1 (1970),  24–27  mathnet  mathscinet  zmath 2
1969
33. N. H. Ibragimov, “Groups of generalized motions”, Dokl. Akad. Nauk SSSR, 187:1 (1969),  25–28  mathnet  mathscinet  zmath 1
34. N. H. Ibragimov, “The invariance of the Dirac equations”, Dokl. Akad. Nauk SSSR, 185:6 (1969),  1226–1228  mathnet  mathscinet 4
35. N. Kh. Ibragimov, “Invariant variational problems and conservation laws (remarks on Noether's theorem)”, TMF, 1:3 (1969),  350–359  mathnet  mathscinet; Theoret. and Math. Phys., 1:3 (1969), 267–274 32
1968
36. N. H. Ibragimov, “On the group classification of second order differential equations”, Dokl. Akad. Nauk SSSR, 183:2 (1968),  274–277  mathnet  mathscinet  zmath 4
37. N. H. Ibragimov, “Transformations which preserve harmonic coordinates”, Dokl. Akad. Nauk SSSR, 181:5 (1968),  1050–1053  mathnet  mathscinet  zmath
38. N. H. Ibragimov, “Group properties of wave equations for particles of zero mass”, Dokl. Akad. Nauk SSSR, 178:3 (1968),  566–568  mathnet  mathscinet 3
39. N. H. Ibragimov, “Generalized motions in Riemannian spaces”, Dokl. Akad. Nauk SSSR, 178:1 (1968),  27–30  mathnet  mathscinet  zmath 1
1966
40. N. H. Ibragimov, “Classification of the invariant solutions to the equations for the two-dimensional transient-state flow of a gas”, Prikl. Mekh. Tekh. Fiz., 7:4 (1966),  19–22  mathnet; J. Appl. Mech. Tech. Phys., 7:4 (1966), 11–13 1

Presentations in Math-Net.Ru
1. Nonlinear self-adjointness and conservation laws
N. Kh. Ibragimov
International conference "Geometrical Methods in Mathematical Physics"
December 12, 2011 14:00   

Organisations
 
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