9,642 research outputs found
Bäcklund transformations, energy shift and the plane wave limit
We discuss basic properties of the Bäcklund transformations for the classical string in AdS space in the context of the null-surface perturbation theory. We explain the relation between the Bäcklund transformations and the energy shift of the dual field theory state. We show that the Bäcklund transformations can be represented as a finite-time evolution generated by a special linear combination of the Pohlmeyer charges. This is a manifestation of the general property of Bäcklund transformations known as spectrality. We also discuss the plane wave limit
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Localized boundary-domain integral equation formulation for mixed type problems
Copyright @ 2010 Walter de Gruyter GmbHSome modified direct localized boundary-domain integral equations (LBDIEs) systems associated with the mixed boundary value problem (BVP) for a scalar “Laplace” PDE with variable coefficient are formulated and analyzed. The main results established in the paper are the LBDIEs equivalence to the original variable-coefficient BVPs and the invertibility of the corresponding localized boundary-domain integral operators in appropriately chosen function spaces
Double valley Dirac fermions for 3D and 2D HgCdTe with strong asymmetry
In this paper the possibility to bring about the double- valley Dirac
fermions in some quantum structures is predicted. These quantum structures are:
strained 3D HgCdTe topological insulator (TI) with strong interface
inversion asymmetry and the asymmetric HgCdTe double quantum wells
(DQW). The numerical analysis of the dispersion relation for 3D TI
HgCdTe for the proper Cd ()-content of in the
HgCdTe-compound clearly show that the inversion symmetry breaking
together with the unaxial tensile strain causes splitting each of Dirac nodes
(two belonging to two interfaces) into two in the proximity of -point.
The similar effects can be obtained for asymmetric HgCdTe DQW with
the proper content of Cd and proper width of the quantum wells. The aim of this
work is to explore the inversion symmetry breaking in 3D TI and 2D DQWs mixed
HgCdTe-systems. It is shown that this symmetry breaking leads to the dependence
of carriers energy vs quasi-momentum similar to that of Weyl fermions.Comment: arXiv admin note: text overlap with arXiv:1605.09214 by other author
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Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with variable coefficient
Copyright @ 2005 Birkhäuse
Spatiotemporal pattern formation in a three-variable CO oxidation reaction model
The spatiotemporal pattern formation is studied in the catalytic carbon
monoxide oxidation reaction that takes into account the diffusion processes
over the Pt(110) surface, which may contain structurally different areas. These
areas are formed during CO-induced transition from a reconstructed phase with
geometry of the overlayer to a bulk-like () phase with
square atomic arrangement. Despite the CO oxidation reaction being
non-autocatalytic, we have shown that the analytic conditions of the existence
of the Turing and the Hopf bifurcations can be satisfied in such systems. Thus,
the system may lose its stability in two ways --- either through the Hopf
bifurcation leading to the formation of temporal patterns in the system or
through the Turing bifurcation leading to the formation of regular spatial
patterns. At a simultaneous implementation of both scenarios, spatiotemporal
patterns for CO and oxygen coverages are obtained in the system.Comment: 11 pages, 6 figures, 1 tabl
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients
This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with several transmission problems for scalar PDEs with variable coefficients are formulated and analyzed for a bounded domain composed of two subdomains with a coefficient jump over the interface. The main results established in the paper are the LBDIE equivalence to the original transmission problems and the invertibility of the corresponding localized boundary-domain integral operators in corresponding Sobolev spaces function spaces.This research was supported by the EPSRC grant EP/H020497/1: ”Mathematical analysis of Localized Boundary-Domain Integral
Equations for Variable-Coefficient Boundary Value Problems” and partly by the Georgian Technical University grant in the case of the third author
On complete integrability of the Mikhailov-Novikov-Wang system
We obtain compatible Hamiltonian and symplectic structure for a new
two-component fifth-order integrable system recently found by Mikhailov,
Novikov and Wang (arXiv:0712.1972), and show that this system possesses a
hereditary recursion operator and infinitely many commuting symmetries and
conservation laws, as well as infinitely many compatible Hamiltonian and
symplectic structures, and is therefore completely integrable. The system in
question admits a reduction to the Kaup--Kupershmidt equation.Comment: 5 pages, no figure
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