Results 31 to 40 of about 3,291 (79)
Differential Geometry of the Vortex Filament Equation
, 1996 Differential calculus on the space of asymptotically linear curves is developed. The calculus is applied to the vortex filament equation in its Hamiltonian description.
Da Rois +18 more
core +1 more source
Free Boundary Poisson Bracket Algebra in Ashtekar's Formalism [PDF]
, 1997 We consider the algebra of spatial diffeomorphisms and gauge transformations in the canonical formalism of General Relativity in the Ashtekar and ADM variables.
A. Ashtekar +21 more
core +3 more sources
Systems of conservation laws with third-order Hamiltonian structures [PDF]
, 2017 We investigate $n$-component systems of conservation laws that possess third-order Hamiltonian structures of differential-geometric type. The classification of such systems is reduced to the projective classification of linear congruences of lines in ...
Ferapontov, E. V. +2 more
core +2 more sources
Algebraic properties of Gardner's deformations for integrable systems
, 2007 An algebraic definition of Gardner's deformations for completely integrable bi-Hamiltonian evolutionary systems is formulated. The proposed approach extends the class of deformable equations and yields new integrable evolutionary and hyperbolic Liouville-
A. B. Borisov +20 more
core +4 more sources
Switching chiral solitons for algebraic operation of topological quaternary digits [PDF]
Nature Physics, 2017 A demonstration of switching between solitons of different chirality in a one-dimensional electronic system shows how topological excitations can be used to realize non-trivial algebraic operations.
Tae-Hwan Kim, Sangmo Cheon, H. Yeom
semanticscholar +1 more source
On the bi-Hamiltonian Geometry of WDVV Equations
, 2015 We consider the WDVV associativity equations in the four dimensional case. These nonlinear equations of third order can be written as a pair of six component commuting two-dimensional non-diagonalizable hydrodynamic type systems.
Pavlov, M. V., Vitolo, R. F.
core +1 more source
On the classification of warped product Einstein metrics [PDF]
, 2011 In this paper we take the perspective introduced by Case-Shu-Wei of studying warped product Einstein metrics through the equation for the Ricci curvature of the base space.
He, Chenxu +2 more
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Twist deformations of Newtonian Schwarzschild-(Anti-)de Sitter classical system
, 2019 In this article we provide three new twist-deformed Newtonian Schwarzschild-(Anti-)de Sitter models. They are defined on the Lie-algebraically as well as on the canonically noncommutative space-times respectively.
Daszkiewicz, Marcin
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In this paper, we study algebraic Schouten solitons concerning the perturbed canonical connection and the perturbed Kobayashi Nomizu connection on three-dimensional Lorentzian Lie groups and give the complete classification of the algebraic Schouten solitons with product structure on three-dimensional Lorentzian Lie groups.
Jinguo Jiang, Yanni Yang
openaire +1 more source
On complete gradient Schouten solitons [PDF]
Nonlinear Analysis, 2021 V. Borges
semanticscholar +1 more source