Zobrazeno 1 - 10
of 13
pro vyhledávání: '"L R Galiakberova"'
Publikováno v:
Journal of Coupled Systems and Multiscale Dynamics. 5:63-68
The recent method of conservation laws for constructing exact solutions of partial differential equations is applied to the nonlocal conservation laws of the Chaplygin gas. The nonlocal conservatio ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10e3a5fcf1064db9cac46f2295c86127
https://doi.org/10.1166/jcsmd.2017.1123
https://doi.org/10.1166/jcsmd.2017.1123
Publikováno v:
International Journal of Non-Linear Mechanics. 78:29-34
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 t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10289b1abfa19db595e0cb2ad2471011
https://doi.org/10.1016/j.ijnonlinmec.2015.09.015
https://doi.org/10.1016/j.ijnonlinmec.2015.09.015
Publikováno v:
International Journal of Non-Linear Mechanics. 77:69-73
A non-linear system of partial differential equations describing a quantum drift-diffusion model for semiconductor devices is investigated by methods of group analysis. An infinite number of conservation laws associated with symmetries of the model a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59ae32b0424725c3ffc0132b0680519a
https://doi.org/10.1016/j.ijnonlinmec.2015.07.010
https://doi.org/10.1016/j.ijnonlinmec.2015.07.010
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 20:74-78
In the present paper a quantum drift–diffusion model describing semi-conductor devices is considered. New conservation laws for the model are computed and used to construct exact solutions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e958730e15d476004346420cd02b97f9
https://doi.org/10.1016/j.cnsns.2014.05.020
https://doi.org/10.1016/j.cnsns.2014.05.020
Publikováno v:
Mathematical Modelling of Natural Phenomena. 9:111-118
In this paper, we shall obtain the symmetries of the mathematical model describing spontaneous relaxation of eastward jets into a meandering state and use these symmetries for constructing the conservation laws. The basic eastward jet is a spectral p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f4a3d9c3360821ed67ea5a275ccf881
https://doi.org/10.1051/mmnp/20149507
https://doi.org/10.1051/mmnp/20149507
Publikováno v:
Mathematical Modelling of Natural Phenomena. 8:1-17
We derive the conserved vectors for the nonlinear two-dimensional Euler equations describing nonviscous incompressible fluid flows on a three-dimensional rotating spherical surface superimposed by a particular stationary latitude dependent flow. Unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66fdfcb1a705d9b2fa01688ac9a90334
https://doi.org/10.1051/mmnp/20138101
https://doi.org/10.1051/mmnp/20138101
Publikováno v:
Journal of Applied Mathematics and Mechanics. 76:185-191
Well-known results of the classification of parabolic-type differential equations, possessing an infinite Lie–Backlund algebra, are used to describe seepage models, which, using (in general) differential substitutions, can be reduced to the heat co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af701b6f4fa0ac94e625eafd91fcf207
https://doi.org/10.1016/j.jappmathmech.2012.05.009
https://doi.org/10.1016/j.jappmathmech.2012.05.009
Autor:
L. R. Galiakberova, Nail H. Ibragimov
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 19:361-363
It is known that the classification of third-order evolutionary equations with the constant separant possessing a nontrivial Lie–Backlund algebra (in other words, integrable equations ) results in the linear equation, the KdV equation and the Krich
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::656bde97820bc357b2849fe404d77b0a
https://doi.org/10.1016/j.cnsns.2013.06.011
https://doi.org/10.1016/j.cnsns.2013.06.011
Publikováno v:
Lobachevskii Journal of Mathematics. 31:192-197
In this paper the methods of Lie group analysis are used to investigate symmetry properties of differential equations that describe filtration of a two-phase liquid in a porousmedia. Lie algebra of operators of a group of equivalence transformations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47e60174949950f8a2945689336934dd
https://doi.org/10.1134/s1995080210020095
https://doi.org/10.1134/s1995080210020095
Publikováno v:
Journal of Mathematical Physics. 57:083504
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 anisotr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f01fe3e98ca3211bd9e28fc00b1db81e
https://doi.org/10.1063/1.4960800
https://doi.org/10.1063/1.4960800