Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Vsevolod G. Sorokin"'
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3111 (2023)
This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered. Nonlinear equations of a fairly general form containing on
Externí odkaz:
https://doaj.org/article/880630027ea04959beefded904f9dbb8
Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays
Publikováno v:
Mathematics, Vol 11, Iss 3, p 516 (2023)
The study gives a brief overview of publications on exact solutions for functional PDEs with delays of various types and on methods for constructing such solutions. For the first time, second-order wave-type PDEs with a nonlinear source term containi
Externí odkaz:
https://doaj.org/article/8ed9c5354a414524aa1a0eb18bc72038
Autor:
Vsevolod G. Sorokin, Andrei V. Vyazmin
Publikováno v:
Mathematics, Vol 10, Iss 11, p 1886 (2022)
The paper describes essential reaction–diffusion models with delay arising in population theory, medicine, epidemiology, biology, chemistry, control theory, and the mathematical theory of artificial neural networks. A review of publications on the
Externí odkaz:
https://doaj.org/article/09671647685f4d31b42c351905e7a6e6
Publikováno v:
Mathematics, Vol 9, Iss 5, p 511 (2021)
We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the fre
Externí odkaz:
https://doaj.org/article/213180aac47441c4a8b93173485f3b57
Publikováno v:
Mathematics, Vol 9, Iss 511, p 511 (2021)
Mathematics
Volume 9
Issue 5
Mathematics
Volume 9
Issue 5
We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the fre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1074f26861d03985809da4c215e15a9b
https://www.mdpi.com/2227-7390/9/5/511
https://www.mdpi.com/2227-7390/9/5/511
Delay Ordinary and Partial Differential Equations is devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay. It considers qualitative features of delay differential equations and formulates typica
Publikováno v:
Applied Mathematics Letters. 125:107731
The paper deals with nonlinear reaction–diffusion systems of two PDEs of a rather general form, which contain arbitrary functions and several delays. Reductions of such non-stationary nonlinear reaction–diffusion systems to simpler systems of sta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41b16be492d80cf311f6e6c3e4ed723b
https://doi.org/10.1016/j.aml.2021.107731
https://doi.org/10.1016/j.aml.2021.107731
Publikováno v:
Theoretical Foundations of Chemical Engineering. 52:334-348
The delay reaction-diffusion models used in thermal physics, chemistry, biochemistry, biology, ecology, biomedicine, and control theory were reviewed. New exact solutions were obtained for several classes of one- and three-dimensional nonlinear equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8ee7fbf1692e94a72a01e178f1b0997
https://doi.org/10.1134/s0040579518030132
https://doi.org/10.1134/s0040579518030132
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 95:105634
We describe new indirect methods for constructing exact solutions of nonlinear PDEs with delay. Features of the proposed methods are illustrated by nonlinear delay reaction-diffusion and wave-type equations with variable coefficients. All the present
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d0edc46ff4894ea0eaadae64aa56441
https://doi.org/10.1016/j.cnsns.2020.105634
https://doi.org/10.1016/j.cnsns.2020.105634
Publikováno v:
Journal of Mathematical Analysis and Applications. 494:124619
We present a new method for constructing exact solutions of nonlinear delay PDEs using special solutions of simpler auxiliary PDEs without delay. The application of the method is demonstrated on nonlinear reaction–diffusion and wave-type equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b2eef64d6216690fa97a687b1d64519
https://doi.org/10.1016/j.jmaa.2020.124619
https://doi.org/10.1016/j.jmaa.2020.124619