On the Complete Integrability of the Raychaudhuri Differential System in $$\mathbb {R}^4$$R4 and of a CRNT Model in $$\mathbb {R}^5$$R5
Sign Up to like & getrecommendations! Published in 2018 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-017-0230-7
Abstract: We study the Darboux integrability of two differential systems with parameters: the Raychaudhuri equation (a relativistic model in $$\mathbb {R}^4$$R4) and a chemical reaction model in $$\mathbb {R}^5$$R5. We prove that the first one is… read more here.
Keywords: model mathbb; first integrals; complete integrability; model ... See more keywords
Algebraic complete integrability of the c2(1) Toda lattice
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.09.008
Abstract: Abstract The aim of this paper is to study the algebraic complete integrability of an integrable system, namely the Toda lattice associated to the twisted affine Lie algebra c 2 ( 1 ) . We… read more here.
Keywords: integrability toda; algebraic complete; toda lattice; complete integrability ... See more keywords
An analytical scheme on complete integrability of 2D biophysical excitable systems
Sign Up to like & getrecommendations! Published in 2021 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2021.125924
Abstract: Abstract We report a method to find the complete integrability and analytical scheme of a well-known two dimensional (2D) excitable biophysical system that includes a coupled non-linear ordinary differential equations (ODEs). We demonstrate the integrability… read more here.
Keywords: integrability biophysical; method; analytical scheme; complete integrability ... See more keywords
Complete integrability of the problem of full statistics of nonstationary mass transfer in the simple inclusion process.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.110.014101
Abstract: The simple inclusion process (SIP) interpolates between two well-known lattice gas models: the independent random walkers and the Kipnis-Marchioro-Presutti model. Here we study large deviations of nonstationary mass transfer in the SIP at long times… read more here.
Keywords: simple inclusion; mass transfer; inclusion process; complete integrability ... See more keywords