Results 51 to 60 of about 162 (135)

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]

open access: yesOpuscula Mathematica
We construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
doaj   +1 more source

The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1

open access: yesAnais da Academia Brasileira de Ciências, 2008
In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
doaj   +1 more source

Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions

open access: yesMathematics
This paper studies a mixed PDE containing the second time derivative and a quadratic nonlinearity of the Monge–Ampère type in two spatial variables, which is encountered in geophysical fluid dynamics.
Andrei D. Polyanin, Alexander V. Aksenov
doaj   +1 more source

Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex Monge-Ampère equation (CMA) and
Andrei A. Malykh, Mikhail B. Sheftel
doaj   +1 more source

Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator

open access: yesBoundary Value Problems, 2017
The authors consider the impulsive differential equation with Monge-Ampère operator in the form of { ( ( u ′ ( t ) ) n ) ′ = λ n t n − 1 f ( − u ( t ) ) , t ∈ ( 0 , 1 ) , t ≠ t k , k = 1 , 2 , … , m , Δ ( u ′ ) n | t = t k = λ I k ( − u ( t k ) ) , k = 1
Xuemei Zhang, Meiqiang Feng
doaj   +1 more source

A fully nonlinear generalized Monge-Ampere PDE on a torus

open access: yesElectronic Journal of Differential Equations, 2014
We prove an existence result for a "generalized" Monge-Ampere equation, introduced in [11], under some assumptions on a flat complex 3-torus. As an application we prove the existence of Chern connections on certain kinds of holomorphic vector bundles ...
Vamsi P. Pingali
doaj  

Shaping Single Offset Reflector Antennas Using Local Axis-Displaced Confocal Quadrics

open access: yesInternational Journal of Antennas and Propagation, 2016
This work investigates a novel numerical procedure for the solution of an exact formulation for the Geometrical Optics synthesis of a single reflector antenna by simultaneously imposing Snell’s Law and Conservation of Energy in a tube of rays, yielding a
Rafael A. Penchel   +2 more
doaj   +1 more source

IMAGE COMPRESSION BASED ON IMPORTANCE USING OPTIMAL MASS TRANSPORTATION MAP. [PDF]

open access: yesProc Int Conf Image Proc, 2022
Li Z, An D, Feng Y, Gu X, Xu X, Zhang M.
europepmc   +1 more source

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