Results 11 to 20 of about 4,654 (265)
Integrability for Feynman integrals
We give a brief overview of the Yangian symmetry of Feynman integrals. After a short introduction to the Yangian and integrability, we motivate the emergence of integrable structures for Feynman integrals via the fishnet limit of AdS/CFT. We discuss the resulting Yangian differential equations for massless fishnets in four dimensions as well as ...
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TO INTEGRATE OR NOT TO INTEGRATE [PDF]
The Development of an Integrated Community Advance Care Planning Service across neighbouring Boroughs and its impact on the uptake of End of Life Care Tools.BackgroundThe first Advance Care Facilitator was introduced in Knowsley in December 2008; the overall purpose of the post was to make quality improvements in the provision of End of Life Care by ...
Janet Cummins +2 more
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Geodesics for the Painlevé–Gullstrand Form of Lense–Thirring Spacetime
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
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A note on the qualitative analysis of Volterra integro-differential equations
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
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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +2 more
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Energy transport in chiral clock model
We characterize the energy transport in a one dimensional ${\mathbb{Z}}_{3}$ chiral clock model. The model generalizes the ${\mathbb{Z}}_{2}$ symmetric Transverse Field Ising Model (TFIM).
Naveen Nishad, G J Sreejith
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On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei +3 more
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Searching for New Integrals in the Euler–Poisson Equations
In the classical problem of the motion of a rigid body around a fixed point, which is described by the Euler–Poisson equations, we propose a new method for computing cases of integrability: first, we provide algorithms for computing values of parameters ...
Alexander D. Bruno, Alexander B. Batkhin
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Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them.
Maxim Ju. Balakhnev, Anatoly G. Meshkov
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The shallow water wave model is one of the completely integrable models illustrating many physical problems. In this article, we investigate new exact wave structures to Kadomtsev–Petviashvili–Benjamin–Bona–Mahony and the Benney–Luke equations which ...
Younas Usman +4 more
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