Results 11 to 20 of about 26,470 (301)

Integrability and maximally helicity violating diagrams in n=4 supersymmetric yang-mills theory. [PDF]

open access: yes, 2015
We apply maximally helicity violating (MHV) diagrams to the derivation of the one-loop dilatation operator of N=4 supersymmetric Yang-Mills theory in the SO(6) sector.
Penante, B   +3 more
core   +4 more sources

An Integrability Condition for Simple Lie Groups II [PDF]

open access: yes, 2015
. It is shown that a simple Lie group G ( 6 = SL2) can be locally characterised by an integrability condition on an Aut(g) structure on the tangent bundle, where Aut(g) is the automorphism group of the Lie algebra of G. The integrability condition is the
Min-Oo, M., Maung Min-Oo, Maung Min-oo
core   +1 more source

A discrete linearizability test based on multiscale analysis [PDF]

open access: yes, 2010
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution.
C Scimiterna   +6 more
core   +1 more source

Integrability

open access: yes, 2020
This report summarizes how to systematically analyze a software architecture with respect to a quality attribute requirement for integrability. The report introduces integrability and common forms of integrability requirements for software architecture ...
James Ivers (8885314)   +3 more
core   +1 more source

A new integrable equation with peakon solutions [PDF]

open access: yes, 2002
We consider a new partial differential equation recently obtained by Degasperis and Procesi using the method of asymptotic integrability; this equation has a form similar to the Camassa-Holm shallow water wave equation.
Holm, DD   +5 more
core   +1 more source

Lagrangian structures and multidimensional consistency [PDF]

open access: yes, 2010
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
core   +6 more sources

The Dynamics of Digits: Calculating Pi with Galperin’s Billiards

open access: yesMathematics, 2020
In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number π . This classical, one-dimensional three-body system (counting the hard wall) calculates the digits of π in a base determined ...
Xabier M. Aretxabaleta   +5 more
doaj   +1 more source

Geodesics for the Painlevé–Gullstrand Form of Lense–Thirring Spacetime

open access: yesUniverse, 2022
Recently, the current authors have formulated and extensively explored a rather novel Painlevé–Gullstrand variant of the slow-rotation Lense–Thirring spacetime, a variant which has particularly elegant features—including unit lapse, intrinsically flat ...
Joshua Baines   +3 more
doaj   +1 more source

Multiscale expansion and integrability properties of the lattice potential KdV equation [PDF]

open access: yes, 2008
We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that, like the lowest order secularity conditions give a nonlinear Schrödinger
Decio Levi   +10 more
core   +1 more source

A note on the qualitative analysis of Volterra integro-differential equations

open access: yesJournal of Taibah University for Science, 2019
The aim of paper is to analyse some qualitative properties of solutions of nonlinear Volterra integro-differential equations (VIDDEs) with constant delay and Volterra integro-differential equations (VIDEs) without delay by means of the Razumikhin method.
Cemil Tunç, Osman Tunç
doaj   +1 more source

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