scholarly journals Двухкомпонентное бризерное решение уравнения Хироты

2022 ◽  
Vol 48 (3) ◽  
pp. 3
Author(s):  
Г.Т. Адамашвили
Keyword(s):  
Reduction Method ◽  
The Self ◽  
Hirota Equation ◽  
Two Component ◽  
Wave Numbers ◽  
Induced Transparency

Using the generalized perturbation reduction method the Hirota equation is transformed to the coupled nonlinear Schr¨odinger equations. A solution of the Hirota equation in the form of the two-component vector breather oscillating with the sum and difference of the frequencies and the wave numbers which coincide with the 0π pulse of the self-induced transparency is obtained.

scholarly journals Двухкомпонентный векторный бризер

2021 ◽  
Vol 47 (11) ◽  
pp. 14
Author(s):  
Г.Т. Адамашвили
Keyword(s):  
Reduction Method ◽  
Nonlinear Schrödinger Equations ◽  
Schrödinger Equations ◽  
Coupled Nonlinear Schrödinger Equations ◽  
Auxiliary Functions ◽  
Breather Solution ◽  
Nonlinear Schrodinger Equations ◽  
Two Component ◽  
Wave Numbers ◽  
Analytical Expressions

The two-component vector breather solution of the modified Benjamin–Bona–Mahony equation is considered. By means of the generalized perturbation reduction method, the equation is reduced to the coupled nonlinear Schrodinger equations for auxiliary functions. Explicit analytical expressions for the profile and parameters of the two-component vector breather, the components of which oscillating with the sum and difference of the frequencies and wave numbers are obtained.

scholarly journals Higher rank FZZ-dualities

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Thomas Creutzig ◽  
Yasuaki Hikida
Keyword(s):  
Field Theory ◽  
Reduction Method ◽  
Operator Algebras ◽  
The Self ◽  
Liouville Theory ◽  
Conformal Field ◽  
Self Duality ◽  
Higher Rank ◽  
Corner Vertex ◽  
Liouville Field Theory

Abstract We examine strong/weak dualities in two dimensional conformal field theories by generalizing the Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality between Witten’s cigar model described by the $$ \mathfrak{sl}(2)/\mathfrak{u}(1) $$ sl 2 / u 1 coset and sine-Liouville theory. In a previous work, a proof of the FZZ-duality was provided by applying the reduction method from $$ \mathfrak{sl}(2) $$ sl 2 Wess-Zumino-Novikov-Witten model to Liouville field theory and the self-duality of Liouville field theory. In this paper, we work with the coset model of the type $$ \mathfrak{sl}\left(N+1\right)/\left(\mathfrak{sl}(N)\times \mathfrak{u}(1)\right) $$ sl N + 1 / sl N × u 1 and investigate the equivalence to a theory with an $$ \mathfrak{sl}\left(N+\left.1\right|N\right) $$ sl N + 1 N structure. We derive the duality explicitly for N = 2, 3 by applying recent works on the reduction method extended for $$ \mathfrak{sl}(N) $$ sl N and the self-duality of Toda field theory. Our results can be regarded as a conformal field theoretic derivation of the duality of the Gaiotto-Rapčák corner vertex operator algebras Y0,N,N+1[ψ] and YN,0,N+1[ψ−1].

The Influence of Level Degeneracy on the Self-Induced Transparency Effect

1968 ◽  
Vol 21 (16) ◽  
pp. 1151-1155 ◽  
Author(s):  
C. K. Rhodes ◽  
A. Szöke ◽  
A. Javan
Keyword(s):  
The Self ◽  
Level Degeneracy ◽  
Induced Transparency

The effect of retarded interaction on the self-induced transparency phenomenon

1979 ◽  
Vol 92 (2) ◽  
pp. 467-472
Author(s):  
V. R. Nagibarov ◽  
O. Kh. Khasanov
Keyword(s):  
The Self ◽  
Induced Transparency

scholarly journals Transformation of oxide ceramic textiles from insulation to conduction at room temperature

2020 ◽  
Vol 6 (6) ◽  
pp. eaay8538 ◽  
Author(s):  
Jianhua Yan ◽  
Yuanyuan Zhang ◽  
Yun Zhao ◽  
Jun Song ◽  
Shuhui Xia ◽  
...  
Keyword(s):  
Phase Transition ◽  
Lithium Batteries ◽  
Room Temperature ◽  
Reduction Method ◽  
The Self ◽  
Oxide Ceramic ◽  
Oxide Ceramics ◽  
Current Collectors ◽  
Enhanced Electrochemical Performance ◽  
Rapid Transformation

Oxide ceramics are considered to be nonconductive brittle materials, which limits their applications in emerging fields such as conductive textiles. Here, we show a facile domino-cascade reduction method that enables rapid transformation of ceramic nanofiber textiles from insulation to conduction at room temperature. After putting dimethylacetamide-wetted textiles, including TiO2, SnO2, BaTiO3, and Li0.33La0.56TiO3, on lithium plates, the self-driven chemical reactions induce defects in oxides. These defects initiate an interfacial insulation-to-conductive phase transition, which triggers the domino-cascade reduction from the interface to the whole textile. Correspondingly, the conductivity of the textile sharply increased from 0 to 40 S/m over a period of 1 min. The modified oxide textiles exhibit enhanced electrochemical performance when substituting the metallic current collectors of lithium batteries. This room temperature reduction method can protect the nanostructures while inducing defects in oxide ceramic textiles, appealing for numerous applications.

scholarly journals MODULATION INSTABILITY IN TWO COMPONENT BOSE-EINSTEIN CONDENSATE WITH RELATIVE COMPONENT MOTION

2019 ◽  
Author(s):  
A.P. Ivashin ◽  
E.D. Marinenko
Keyword(s):  
Relative Velocity ◽  
Modulation Instability ◽  
Einstein Condensate ◽  
Relative Speed ◽  
Bose Einstein Condensate ◽  
Two Component ◽  
Wave Numbers ◽  
Component Motion ◽  
Spatially Homogeneous ◽  
Bose Einstein

The development of modulation instability in a spatially homogeneous two-component Bose-Einstein condensate (BEC), in which the interacting components move through each other at a relative speed, is investigated. It is shown that nonlinear dynamics, leading to modulation instability, is determined by both the values of the constant interaction and the relative velocity between the components. The maximum oscillation increment is found and the limits of the existence of modulation instability in the space of wave numbers are determined.

The self-smoothing number of knots and links

2018 ◽  
Vol 27 (12) ◽  
pp. 1850070
Author(s):  
Hideo Takioka
Keyword(s):  
The Self ◽  
Link Diagram ◽  
Oriented Link ◽  
Two Component ◽  
Crossing Point ◽  
Knots And Links

We call smoothing a self-crossing point of an oriented link diagram self-smoothing. By self-smoothing repeatedly, we obtain an oriented link diagram without self-crossing points. In this paper, we show that every knot has an oriented diagram which becomes a two-component oriented link diagram without self-crossing points by a single self-smoothing.

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