Results 41 to 50 of about 6,078 (188)
Integrable discrete nets in Grassmannians
, 2008 We consider discrete nets in Grassmannians $\mathbb{G}^d_r$ which generalize Q-nets (maps $\mathbb{Z}^N\to\mathbb{P}^d$ with planar elementary quadrilaterals) and Darboux nets ($\mathbb{P}^d$-valued maps defined on the edges of $\mathbb{Z}^N$ such that ...
A. Doliwa +10 more
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An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group [PDF]
, 2017 We show the fundamental theorems of curves and surfaces in the 3-dimensional Heisenberg group and find a complete set of invariants for curves and surfaces respectively. The proofs are based on Cartan's method of moving frames and Lie group theory. As an
Chiu, Hung-Lin +2 more
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Darboux Integrability Of the Biological System
Al-Rafidain Journal of Computer Sciences and MathematicsIn the given paper, we investigate the integrability of a mathematical model of a 3D biological system. Our results show that the system admits a polynomial first integrals for some parameters, an invariant algebraic surface with an exponential factor ...
Zakariya Hashem Ali +1 more
doaj +1 more source
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations [PDF]
, 2007 Nonlinear semi-discrete equations of the form t_x(n+1)=f(t(n), t(n+1), t_x(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and the attempt to adopt this notion to the classification of Darboux integrable ...
Habibullin, Ismagil +2 more
core +2 more sources
Integrable Systems and Discrete Geometry
, 2005 This is an expository article for Elsevier's Encyclopedia of Mathematical Physics on the subject in the title.
Akhmetshin +15 more
core +1 more source
The role of algebraic solutions in planar polynomial differential systems [PDF]
, 2005 We study a planar polynomial differential system, given by \dot{x}=P(x,y), \dot{y}=Q(x,y). We consider a function I(x,y)=\exp \{h_2(x) A_1(x,y) \diagup A_0(x,y) \} h_1(x) \prod_{i=1}^{\ell} (y-g_i(x))^{\alpha_i}, where g_i(x) are algebraic functions, A_1(
Giacomini, Héctor +2 more
core +5 more sources
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn this work we find the center conditions for a cubic system of differential equations with a critical point of a center or a focus type having one invariant straight line and one invariant conic. The center-focus problem is studied by using the Darboux
Dumitru Cozma
doaj +1 more source
Hydrologic Dynamics of Ephemerally Flooded Playas in a Dryland Environment
Water Resources Research, Volume 62, Issue 1, January 2026.Abstract Ephemerally flooded playas are common in the southwestern United States and globally in drylands. Often formed in closed basins, playas are depressions which inundate infrequently from local precipitation and streamflow produced near the playa or from upland areas.
Charles R. Kimsal +4 more
wiley +1 more source
On form-preserving transformations for the time-dependent Schr\"odinger equation [PDF]
, 1999 In this paper we point out a close connection between the Darboux transformation and the group of point transformations which preserve the form of the time-dependent Schr\"odinger equation (TDSE).
Artemio González-López +4 more
core +3 more sources