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Ibragimov Nail Hairullovich

Publications in Math-Net.Ru

  1. Approximate symmetries and solutions of the Kompaneets equation

    Prikl. Mekh. Tekh. Fiz., 55:2 (2014),  38–42
  2. 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
  3. On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness

    Ufimsk. Mat. Zh., 4:4 (2012),  196–207
  4. Local and nonlocal conserved vectors for the nonlinear filtration equation

    Ufimsk. Mat. Zh., 4:4 (2012),  179–185
  5. Equivalence group analysis and nonlinear self-adjointness of the generalized Kompaneets equation

    Ufimsk. Mat. Zh., 4:1 (2012),  6–16
  6. Invariants of hyperbolic equations: solution of the Laplace problem

    Prikl. Mekh. Tekh. Fiz., 45:2 (2004),  11–21
  7. Approximate equivalence transformations

    Differ. Uravn., 30:10 (1994),  1659–1664
  8. Seven notes on group analysis

    Differ. Uravn., 29:10 (1993),  1739–1750
  9. Approximate groups of transformations

    Differ. Uravn., 29:10 (1993),  1712–1732
  10. 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
  11. The hierarchy of Huygens equations in spaces with a non-trivial conformal group

    Uspekhi Mat. Nauk, 46:3(279) (1991),  111–146
  12. Approximate symmetries and preservation laws

    Trudy Mat. Inst. Steklov., 200 (1991),  35–45
  13. Perturbation methods in group analysis

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34 (1989),  85–147
  14. Nonlocal symmetries. Heuristic approach

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34 (1989),  3–83
  15. Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics

    Matem. Mod., 1:3 (1989),  100–109
  16. Approximate symmetry and formal linearization

    Prikl. Mekh. Tekh. Fiz., 30:2 (1989),  40–49
  17. Linearization and formal symmetries of the Korteweg-de Vries equation

    Dokl. Akad. Nauk SSSR, 303:4 (1988),  781–784
  18. 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
  19. Approximate symmetries

    Mat. Sb. (N.S.), 136(178):4(8) (1988),  435–450
  20. Bäcklund transforms and nonlocal symmetries

    Dokl. Akad. Nauk SSSR, 297:1 (1987),  11–14
  21. Quasilocal symmetries of equations of nonlinear heat-conduction type

    Dokl. Akad. Nauk SSSR, 295:1 (1987),  75–78
  22. Group classification of equations of nonlinear filtration

    Dokl. Akad. Nauk SSSR, 293:5 (1987),  1033–1035
  23. Infinite Lie–Beklund algebras

    Funktsional. Anal. i Prilozhen., 14:4 (1980),  79–80
  24. Evolutionary equations with nontrivial Lie–Bäcklund group

    Funktsional. Anal. i Prilozhen., 14:1 (1980),  25–36
  25. Equations of Liouville type

    Dokl. Akad. Nauk SSSR, 249:1 (1979),  26–29
  26. Korteweg–de Vries equation from the group standpoint

    Dokl. Akad. Nauk SSSR, 244:1 (1979),  57–61
  27. On the theory of Lie–Bäcklund transformation groups

    Mat. Sb. (N.S.), 109(151):2(6) (1979),  229–253
  28. On the Ñauchy 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
  29. Lie–Bäcklund groups and conservation laws

    Dokl. Akad. Nauk SSSR, 230:1 (1976),  26–29
  30. Groups of Lie–Bäcklund contact transformations

    Dokl. Akad. Nauk SSSR, 227:3 (1976),  539–542
  31. Conservation laws in hydrodynamics

    Dokl. Akad. Nauk SSSR, 210:6 (1973),  1307–1309
  32. Conformal invariance and Huygens' principle

    Dokl. Akad. Nauk SSSR, 194:1 (1970),  24–27
  33. Groups of generalized motions

    Dokl. Akad. Nauk SSSR, 187:1 (1969),  25–28
  34. The invariance of the Dirac equations

    Dokl. Akad. Nauk SSSR, 185:6 (1969),  1226–1228
  35. Invariant variational problems and conservation laws (remarks on Noether's theorem)

    TMF, 1:3 (1969),  350–359
  36. On the group classification of second order differential equations

    Dokl. Akad. Nauk SSSR, 183:2 (1968),  274–277
  37. Transformations which preserve harmonic coordinates

    Dokl. Akad. Nauk SSSR, 181:5 (1968),  1050–1053
  38. Group properties of wave equations for particles of zero mass

    Dokl. Akad. Nauk SSSR, 178:3 (1968),  566–568
  39. Generalized motions in Riemannian spaces

    Dokl. Akad. Nauk SSSR, 178:1 (1968),  27–30


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