Results 71 to 80 of about 31,256 (206)
The Canadian Journal of Chemical Engineering, Volume 104, Issue 6, Page 3018-3037, June 2026.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
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Prolongation Approach to B\"{a}cklund Transformation of Zhiber-Mikhailov-Shabat Equation
, 1996 The prolongation structure of Zhiber-Mikhailov-Shabat (ZMS) equation is studied by using Wahlquist-Estabrook's method. The Lax-pair for ZMS equation and Riccati equations for pseudopotentials are formulated respectively from linear and nonlinear ...
Huan‐Xiong Yang +3 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
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Integrability of doubly-periodic Riccati equation
International Journal of Mathematics and Mathematical Sciences, 1998 By the structure of solvable subgroup of SL(2,ℂ) (see [1]), the integrability and properties of solutions of a Riccati equation with an elliptic function coefficient, which is related to a Fuchsian equation on the torus T2,is studied.
Ma Ling, Guan Ke-Ying
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Polaritonic Spectra of Optical Mie Voids
Nanophotonics, Volume 15, Issue 9, 13 May 2026.Optical Mie voids have been shown to provide a versatile platform for polaritonic physics. Analytical and numerical analysis reveal how void resonances couple to excitonic media, enabling weak‐ and strong‐coupling regimes, polariton gaps, Q‐factor enhancement, and spatial mode localization.
Evgeny Ryabkov +3 more
wiley +1 more source
On Hilbert-Schmidt norm convergence of Galerkin approximation for operator Riccati equations [PDF]
An abstract approximation framework for the solution of operator algebraic Riccati equations is developed. The approach taken is based on a formulation of the Riccati equation as an abstract nonlinear operator equation on the space of Hilbert-Schmidt ...
Rosen, I. G.
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On integration of a matrix Riccati equation
Sibirskii zhurnal industrial'noi matematiki, 2020 We execute the complete integration of the simplest matrix Riccati equation in the two- and three-dimensional cases for an arbitrary linear differential operator. The solution is constructed in terms of the Jordan form of an unknown matrix and the corresponding similarity matrix.
Neshchadim, M. V., Chupakhin, A. P.
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Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna
Advanced Functional Materials, Volume 36, Issue 38, 11 May 2026.We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz +9 more
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Generalized System of Riccati-Type Equations
EPJ Web of Conferences, 2018 A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established.
Yamaleev Robert M.
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A Riccati solution for Burgers’ equation [PDF]
Quarterly of Applied Mathematics, 1970 In the last few years a one-dimensional, time-dependent and nonlinear approximation to the Navier-Stokes equations, (1) below, has found applications in fields as diverse as number theory, gas dynamics, heat conduction, elasticity, etc. Probably the most important reason for this is that the complete and explicit solution of this equation became known ...
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