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Träfflista för sökning "WFRF:(Galiakberova L. R.) srt2:(2016)"

Sökning: WFRF:(Galiakberova L. R.) > (2016)

  • Resultat 1-3 av 3
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1.
  • Ibragimov, Nail, et al. (författare)
  • Group classification and conservation laws of anisotropic wave equations with a source
  • 2016
  • Ingår i: Journal of Mathematical Physics. - : American Institute of Physics (AIP). - 0022-2488 .- 1089-7658. ; 57:8
  • Tidskriftsartikel (refereegranskat)abstract
    • Linear and nonlinear waves in anisotropic media are useful in investigating complex materials in physics, biomechanics, biomedical acoustics, etc. The present paper is devoted to investigation of symmetries and conservation laws for nonlinear anisotropic wave equations with specific external sources when the equations in question are nonlinearly self-adjoint. These equations involve two arbitrary functions. Construction of conservation laws associated with symmetries is based on the generalized conservation theorem for nonlinearly self-adjoint partial differential equations. First we calculate the conservation laws for the basic equation without any restrictions on the arbitrary functions. Then we make the group classification of the basic equation in order to specify all possible values of the arbitrary functions when the equation has additional symmetries and construct the additional conservation laws.
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2.
  • Ibragimov, R. N., et al. (författare)
  • Conservation laws and invariant solutions of the non-linear governing equations associated with a thermodynamic model of a rotating detonation engines with Korobeinikov's chemical source term
  • 2016
  • Ingår i: International Journal of Non-Linear Mechanics. - : Elsevier. - 0020-7462 .- 1878-5638. ; 78, s. 29-34
  • Tidskriftsartikel (refereegranskat)abstract
    • The non-linear governing gas dynamics equations that are used as a descriptor of a rotating detonation engine are investigated from the group theoretical standpoint. The equations incorporate approximation of Korobeinikov's chemical reaction model that are used to describe the two-dimensional detonation field on a surface of a two-dimensional cylindrical chamber without thickness. The transformations that leave the equations invariant are found. On the basis of these transformations, the conservation equations were constructed and the invariant solutions were obtained for specific form of the equation of state, for which the equations are non-linearly self-adjoint. The invariant solutions are given in terms of the functions that satisfy non-linear ordinary differential equations. The above reduction simplifies the analysis of the original non-linear system of partial differential equations on a surface of rotating cylinder. (C) 2015 Elsevier Ltd. All rights reserved.
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3.
  • Anco, S., et al. (författare)
  • Symmetries and conservation laws of the generalized Krichever-Novikov equation
  • 2016
  • Ingår i: Journal of Physics A. - : Institute of Physics Publishing (IOPP). - 1751-8113 .- 1751-8121. ; 49:10
  • Tidskriftsartikel (refereegranskat)abstract
    • A computational classification of contact symmetries and higher-order local symmetries that do not commute with t, x, as well as local conserved densities that are not invariant under t, x is carried out for a generalized version of the Krichever-Novikov (KN) equation. Several new results are obtained. First, the KN equation is explicitly shown to have a local conserved density that contains t, x. Second, apart from the dilational point symmetries known for special cases of the KN equation and its generalized version, no other local symmetries with low differential order are found to contain t, x. Third, the basic Hamiltonian structure of the KN equation is used to map the local conserved density containing t, x into a nonlocal symmetry that contains t, x. Fourth, a recursion operator is applied to this nonlocal symmetry to produce a hierarchy of nonlocal symmetries that have explicit dependence on t, x. When the inverse of the Hamiltonian map is applied to this hierarchy, only trivial conserved densities are obtained.
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  • Resultat 1-3 av 3
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tidskriftsartikel (3)
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refereegranskat (3)
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Ibragimov, Nail (3)
Galiakberova, L. R. (3)
Avdonina, E. D. (2)
Anco, S. (1)
Gainetdinova, A. (1)
Wolf, T. (1)
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Ibragimov, R.N. (1)
Gandarias, M.L. (1)
Bruzon, M.S. (1)
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Blekinge Tekniska Högskola (3)
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Engelska (3)
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Naturvetenskap (3)
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2016 (3)Ta bort avgränsningen

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