Results 61 to 70 of about 6,585,637 (137)
Semiclassical Jaynes–Cummings model, Painlevé test, and exact solutions
The semiclassical model equations for a quantum system of N two-level atoms interacting with a single-mode field in a resonant cavity are discussed. For this system of ordinary differential equations the Painlevé test is performed and first integrals are
N. Euler +5 more
core +1 more source
Higher Time-Derivative Theories from Space–Time Interchanged Integrable Field Theories
We compare a relativistic and a nonrelativistic version of Ostrogradsky’s method for higher-time derivative theories extended to scalar field theories and consider as an alternative a multi-field variant.
Andreas Fring +2 more
doaj +1 more source
Painlevé Dynamics and the Origin of Life: A Universal Chemical Pathway
This paper proposes that the origin of life may be understood as a cascade of dynamical integration events governed by Painlevé transcendental equations—a class of nonlinear differential equations arising widely in physics, from quantum mechanics to ...
Michel Planat
doaj +1 more source
Invertible point transformations, Painlevé test, and the second Painlevé transcendent
The techniques of invertible point transformations and the Painlevé analysis can be used to construct integrable ordinary differential equations. We compare both techniques for the second Painlevé transcendent.
Duarte, L.G.S. +3 more
core +1 more source
The Weiss-Tabor-Carnevale Painlevé test and Burgers' hierarchy
The Weiss-Tabor-Carnevale (WTC) Painlevé test, and its recent perturbative extension, provide necessary conditions for a partial differential equation to have the Painlevé property. It follows that Burgers' hierarchy must pass the WTC Painlevé test.
Andrew Pickering, Pickering, Andrew
core +1 more source
A Hierachical Infrastrucutre for SOC Test Management [PDF]
HD2BIST - a complete hierarchical framework for BIST scheduling, data-patterns delivery, and diagnosis of complex systems - maximizes and simplifies the reuse of built-in test architectures.
Zorian Y. +4 more
core +1 more source
We study the perturbed and modified nonlinear Schrödinger equation (PNLSE with Kerr nonlinearity and MNLSE), establish their integrability under explicit parameter conditions via the Painlevé test, and construct analytical traveling-wave families ...
Ijaz Ali +5 more
doaj +1 more source
Symplectic structure of the Painlevé test
In this note, we present a result to show that the symplectic structures have been naturally encoded into the Painlevé test. In fact, for every principal balance, there is a symplectic change of dependent variables near movable poles.
Yan, Min, Hu, Jishan
core +1 more source
Family Sculpture with Playmobil Pieces
Mit dem FSPlay werden innere "Arbeitsmodelle" (Schemata) von Bindungs-/Familien-/Partnerschafts-/Freundschaftsbeziehungen erhoben. Anhand mehrerer Spielfiguren sollen eine oder mehrere Skulpturen gestaltet werden, z. B.
Sydow, K. v.
core +1 more source

