The sine-Gordon model has a universality and appears in various ﬁelds of physics [9–12]. The two-dimensional (2D) sine-Gordon model describes the Kosterlitz-Thouless transition of the 2D classical XY model [13,14]. The 2D sine-Gordon model is mapped to the Coulomb gas model with logarithmic interaction [15]. The Kondo

The sine-Gordon model has universality and appears in various ﬁelds of physics[9–12]. The two-dimensional (2D) sine-Gordon model describes the Kosterlitz-Thouless transition of the 2D classical XY model[13, 14]. The 2D sine-Gordon model is mapped to the Coulomb gas model with logarithmic interaction[15]. The Kondo prob-

It was originally considered in the nineteenth century in the course of study of surfaces of constant negative curvature.This equation attracted a lot of attention in the 1970s due to the presence of soliton solutions. 2021-02-24 2015-12-21 The generalized sine-Gordon equations z,t= F(z) in two independent variables x, t include the sine-Gordon z,xt = sinz and the multiple sine-Gordon's like z x -Sin z + 1 sin Iz. Among other physical applications all these sine-Gordon's are significant to the theory of intense ultra-short optical pulse propagation. elliptic sine-Gordon equation subject to homogeneous Neumann and Dirichlet boundary conditions by using critical point theory. Positive numerical solu-tions of the Dirichlet case, which are global minima of the variational problem, are computed on a dumbbell-shaped 2D domain for visualization. 1.

Sine gordon

The sine–Gordon equation in one space‐one time dimension is known to possess the Painlevé property and to be completely integrable. It is shown how the Chapter 1 - Sine-Gordon Model. from Part I - Kinks and Solitary Waves. Yakov M. Shnir; Publisher: Cambridge University Press; DOI: https://doi.org/10.1017/ Abstract: This thesis concerns the semi-classical sine-Gordon equation with pure impulse initial data below the threshold of rotation: begin{equation*} can be found and the potential q(x, t) can then be determined for all time by the in - verse -scattering method. The sine-Gordon equation,. 8'u/8T' —&'u/BX'+ sin(u) Sine-Gordon equation The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and Motion of a driven and heavily damped sine-Gordon chain with a low density of kinks and tight coupling between particles is controlled by the nucleation an.

sine-Gordon model and the massive Thirring model will be derived by identifying that the perturbation expansion terms respectively the commutators of the two theories are identical if certain relations between the quantities of the theories are identi ed.

In that case, one obtains a beautiful partial differential equation which is integrable. It is famous because of breather solutions.

you toJin Qua, Gordon? Det Taipan är för britterna är Jin Qua för kineserna. What the Tai-Pan is to the British Jin Qua is to the Chinese. Detta är ett sine qua

(Communicated by F. Ursell, F.R.S. - Received 24 May 1977) Exact, particular solutions of the double sine Gordon equation in n dimen-sional space are constructed. Under certain restrictions these solutions The reputed sine-Gordon equation method was developed based on the wave transformation and it functions only for lower-dimensional NLEEs. There are many higher-dimensional NLEEs concerning real life problems and to interpret them explicitly further soliton solutions are needed.

From 1D interacting electrons to the sine-Gordon model: Schematics of bosonization. Bosonized. low-energy full .
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FAITHFULNESS. FINLANDIA. GARDEN.

1 We consider a model called the coupled sine-Gordon equation for DNA dynamics by introducing two double helix structures. The second double helix structure is unilaterally influenced by the first one. The completely integrable coupled sine-Gordon equation admits kink-antikink solitons with increased width representing a wide base pair opening configuration in DNA. Also we propose another The generalized sine-Gordon equations z,t= F(z) in two independent variables x, t include the sine-Gordon z,xt = sinz and the multiple sine-Gordon's like z x -Sin z + 1 sin Iz. Among other physical applications all these sine-Gordon's are significant to the theory of intense ultra-short optical pulse propagation.
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Curated by Sarah Joyce and Gordon Duggan: OTIC, The New Media Gallery, Vancouver. The Centre of silence silence, sine wave, white noise. A voice is

Keywords: sine-Gordon, solitons, Backlund transform. 1 Introduction. of the.

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It implies the usual Bakry‐Émery criterion, but we show that it remains effective for measures that are far from log‐concave. Indeed, using our criterion, we prove that the massive continuum sine‐Gordon model with β < 6π satisfies asymptotically optimal log‐Sobolev inequalities for Glauber and Kawasaki dynamics. These dynamics can be

Sine-Gordon方程是十九世纪发现的一种偏微分方程，由于Sine-Gordon方程有多种[[孤立子]]解而倍受瞩目。 L'equazione di sine-Gordon (o equazione di seno-Gordon) è un'equazione differenziale alle derivate parziali iperbolica non lineare in 1 + 1 dimensioni, che coinvolge l'operatore di d'Alembert e il seno della funzione incognita. È stata originariamente introdotta da Edmond Bour (nel 1862) nel corso dello studio delle superfici a curvatura negativa costante, come l'equazione di Gauss 2012-01-01 · The well-known sine–Gordon and complex sine–Gordon equations are actively used in the study of various physical models and processes such as self-induced transparency and coherent optical pulse propagation, relativistic vortices in a superfluid, nonlinear sigma models, the motion of rigid pendulum, dislocations in crystals and so on (see, for instance, references in , , , , , , ). The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational and high-energy physics models. The purpose of this book is to present a summary of recent developments in this View the profiles of people named Gordon Sine. Join Facebook to connect with Gordon Sine and others you may know. Facebook gives people the power to Sine-Gordon equation Last updated January 17, 2021. The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function.

With funding from the Gordon and Betty Moore Foundation and the Stanford Woods Institute for the Environment, Stanford researchers have

Here is Gordon Sine’s obituary. Please accept Echovita’s sincere condolences. We are sad to announce that on May 15, 2020 we had to say goodbye to Gordon Sine (Belleville, Ontario). Family and friends can light a candle as a loving gesture for their loved one. Specifically, a long Josephson-junction is described by the continuous sine-Gordon equation and a Josephson-junction parallel array by its discrete counterpart. This chapter constitute a revision of the physics of such superconducting systems in the light of the sine-Gordon equation.

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