Results 41 to 50 of about 6,081 (189)

Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation

Contributions to Plasma Physics, Volume 66, Issue 3, March 2026.
ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira, M. H. Benetti, I. L. Caldas   +2 more
wiley   +1 more source

Darboux Integrability Of the Biological System

Al-Rafidain Journal of Computer Sciences and Mathematics
In 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, Ahmad Muhamad Husien   +1 more
doaj   +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, Pekcan, Asli, Zheltukhina, Natalya   +2 more
core   +2 more sources

Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom

, 2009
We consider natural complex Hamiltonian systems with $n$ degrees of freedom given by a Hamiltonian function which is a sum of the standard kinetic energy and a homogeneous polynomial potential $V$ of degree $k>2$.
A. Guillot, A. J. Maciejewski, A. J. Maciejewski, A. K. Tsikh, A. Koz’owski, D. Cox, D. Cox, G. Biernat, G. Biernat, G. Biernat, H. A. Schwarz, H. Yoshida, H. Yoshida, I.A. Aĭzenberg, I.R. Shafarevich, J. Hietarinta, J. Hietarinta, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, K. Nakagawa, M. Audin, M. Przybylska, M. Przybylska, M.A. Almeida, P. Griffiths, P.A. Griffiths, P.F. Baum, S. L. Ziglin, S. L. Ziglin, T. Kimura   +33 more
core   +2 more sources

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, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Center conditions for a cubic differential system with one invariant straight line and one invariant conic

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In 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

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, Bial̷ecki, Bobenko, Bogdanov, Cieśliński, Doliwa, Doliwa, Doliwa, Doliwa, Doliwa, Klimczewski, Matsuura, Mañas, Rogers, Schief, Schief   +15 more
core   +1 more source

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, Huang, Yen-Chang, Lai, Sin-Hua   +2 more
core   +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, Enrique R. Vivoni, Osvaldo E. Sala, H. Curtis Monger, Owen P. McKenna   +4 more
wiley   +1 more source

Hirota equation and the quantum plane

, 2012
We discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps.
Doliwa, Adam
core   +1 more source