Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Farrin Payandeh"'
Autor:
Francesco Calogero, Farrin Payandeh
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Volume 2 (2022)
In this short communication we introduce a rather simple autonomous system of 2 nonlinearly-coupled first-order Ordinary Differential Equations (ODEs), whose initial-values problem is explicitly solvable by algebraic operations. Its ODEs feature 2 ri
Externí odkaz:
https://doaj.org/article/298383e24c8049e0ad3f3a45cce459b2
Autor:
Francesco Calogero, Farrin Payandeh
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Volume 1 (2021)
After tersely reviewing the various meanings that can be given to the property of a system of nonlinear ODEs to be solvable, we identify a special case of the system of two first-order ODEs with homogeneous quadratic right-hand sides which is explici
Externí odkaz:
https://doaj.org/article/e3adce59a6a74ee78192e180101de7a8
Autor:
Farrin Payandeh
Publikováno v:
Heliyon, Vol 5, Iss 6, Pp e01818- (2019)
The kinematical implications of a dielectric analog of Robertson-Walker spacetime is discussed within a covariant postulation of transformation optics. It is found that the results thoroughly coincide with what we expect from standard model. Moreover
Externí odkaz:
https://doaj.org/article/fa28183c62fa4a5bb201a8c43549055b
Autor:
Francesco Calogero, Farrin Payandeh
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 213:5-19
Найдены и рассмотрены имеющие очень простые явные решения системы произвольного числа $N$ обыкновенных дифференциальных уравнений перв
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8d6a95b9b2f3b8f6c608efe79baffdc
https://doi.org/10.4213/tmf10222
https://doi.org/10.4213/tmf10222
Autor:
Farrin Payandeh, Francesco Calogero
Publikováno v:
Mathematical Physics, Analysis and Geometry. 24
The explicit solution of the initial-values problem is exhibited of a subclass of the autonomous system of 2 coupled first-order ODE s with second-degree polynomial right-hand sides, hence featuring 12 a prior arbitrary (time-independent) coefficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34fdcb020f5f8444a6d4930d97482296
https://doi.org/10.1007/s11040-021-09400-7
https://doi.org/10.1007/s11040-021-09400-7
Autor:
Francesco Calogero, Farrin Payandeh
Publikováno v:
Journal of Mathematical Physics. 63:052703
In this paper, we identify systems of an arbitrary number N of first-order recursions with nonlinear right-hand sides homogeneous of arbitrary degree M, which feature simple explicit solutions. A novelty of these findings is to consider systems of re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55e9d9ea3b1fa1587ce08851b3753f68
https://doi.org/10.1063/5.0073054
https://doi.org/10.1063/5.0073054
Autor:
Farrin Payandeh, Francesco Calogero
The solution $x_n\left(t\right)$, $n=1,2,$ of the \textit{initial-values} problem is reported of the \textit{autonomous} system of $2$ coupled first-order ODEs with \textit{homogeneous cubic polynomial} right-hand sides, \begin{eqnarray} \dot{x}_n =
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b7d87c942f47f291a1f80fddf03ce71
Autor:
Farrin Payandeh
Publikováno v:
Indian Journal of Science and Technology. 10:1-6
Objectives: To set up a theoretical background for the detection of gravitational waves in a stimulated system. Methods: The methods are based on theoretical notions of gravitational waves on a flat background, and regard them as bumps which make lin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e0235504c8a04ba204112dec69696b1
https://doi.org/10.17485/ijst/2017/v10i25/112309
https://doi.org/10.17485/ijst/2017/v10i25/112309
Autor:
Farrin Payandeh, Francesco Calogero
The interplay among the time-evolution of the coefficients and the zeros of a generic time-dependent (monic) polynomial provides a convenient tool to identify certain classes of solvable dynamical systems. Recently this tool has been extended to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e01eda94e647be0de2f93cb553313cd8