Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Elena D. Avdonina"'
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:
Communications in Nonlinear Science and Numerical Simulation. 18:2359-2366
In the present paper, the recent method of conservation laws for constructing exact solutions for systems of nonlinear partial differential equations is applied to the gasdynamic equations describing one-dimensional and three-dimensional polytropic f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::097a50701b3324d8312f138f8fc87c40
https://doi.org/10.1016/j.cnsns.2012.12.023
https://doi.org/10.1016/j.cnsns.2012.12.023
Autor:
Nail Ibragimov, Elena D. Avdonina
Publikováno v:
Uspekhi Matematicheskikh Nauk. 68:111-146
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::405a7e7c55c91203d3c3ea6b68fb78ac
https://doi.org/10.4213/rm9536
https://doi.org/10.4213/rm9536
Autor:
Nail H. Ibragimov, Elena D. Avdonina
Publikováno v:
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 1:237-251
Nonlinear self-adjointness of the anisotropic nonlinear heat equation is investigated. Mathematical models of heat conduction in anisotropic media with a source are considered and a class of self-adjoint models is identified. Conservation laws corres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::959deeae5a6b3c39788cdd55058be1ed
https://doi.org/10.5890/dnc.2012.06.002
https://doi.org/10.5890/dnc.2012.06.002
Publikováno v:
Lectures on the Theory of Group Properties of Differential Equations
One-Parameter Continuous Transformation Groups Admitted by Differential Equations: One-Parameter Continuous Transformation Group Infinitesimal Operator of the Group Invariants and Invariant Manifolds Theory of Prolongation Groups Admitted by Differen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::072258c57cbdeae83027b22973a33b89
https://doi.org/10.1142/8762
https://doi.org/10.1142/8762
Autor:
Nail H. Ibragimov, Elena D. Avdonina
Conservation laws and exact solutions of nonlinear differential equations describing diffusion phenomena in anisotropic media with external sources are constructed. The construction is based on the method of nonlinear self-adjointness. Numerous exact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4799a745ef47fee471aa0a4e59797195
http://urn.kb.se/resolve?urn=urn:nbn:se:bth-6924
http://urn.kb.se/resolve?urn=urn:nbn:se:bth-6924
Autor:
Stephen C. Anco, L. R. Galiakberova, A. A. Gainetdinova, Thomas Wolf, Elena D. Avdonina, Nail H. Ibragimov
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 49:105201
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-N
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::419138c3b21845b30b976fa9c905590c
https://doi.org/10.1088/1751-8113/49/10/105201
https://doi.org/10.1088/1751-8113/49/10/105201