Boundary value problems for the elliptic sine-gordon equation in a semi-strip2013Ingår i: Journal of nonlinear science, ISSN 0938-8974, E-ISSN 1432-1467, Vol 

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Nedanför Amor Dei längs takfrisen står devisen "DIVINO SINE NUMINE FAUSTUM EST NIHIL" som betyder Utan Guds makt är ingenting lyckosamt. Skulpturen 

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- Physica D 159 (2001) 101–123 Pulse evolution for a two-dimensional Sine-Gordon equation A.A. Minzonia, Noel F. Smythb,∗, Annette L. Worthyc a FENOMEC, Department of Mathematics and Mechanics, IIMAS, Universidad Aut´onoma de M ´exico, Abstract. In the present chapter, we consider two prototypical Klein–Gordon models: the integrable sine-Gordon equation and the non-integrable ϕ 4 model. We focus, in particular, on two of their principal solutions, namely the kink-like heteroclinic connections and the time-periodic, exponentially localized in space breather waveforms. The Sine Gordon Equation In[1]:=Clear@"Global‘*"D The Equation The equation is ••••••••• ¶2u ¶x2-••••••••• ¶2u ¶t2 =sinu In[2]:=sinegordoneq@u_D:=D@u@x,tD,8x,2

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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. Se hela listan på scholarpedia.org Gordon Allport studerade även fördomar och religion. Han analyserade diskrimineringen av judar och afroamerikaner, vilket han presenterade i sin bok The Nature of Prejudice. Gordon Allport, fadern till personlighetspsykologin, dog den 9 oktober 1967. 2020-04-14 · The sine-Gordon equation is a traditional wave equation with a sine function term.

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sine gordon. Learn more about file . Toggle Main Navigation. Products; Solutions; Academia; Support; Community; Events

Sine-Gordon PDE. A third example is where the name Sine-Gordon is really used. It is the Sine-Gordon equation when .

Sine-gordon solitons and black holesIn the talk, the relationship between black holes in Jackiw-Teitelboim(JT) dilaton gravity and solitons in sine-Gordon field 

Sine gordon

SLANE. Programplakat Aeroplanes, Deperdussin, Coupe, Gordon-Bennet. 1 picture. Plakat med flagg. Påskrift: Aeroplanes, Deperdussin, Coupe, Gordon-Ben. 1 picture. Alltså kunde Bäcklundtransformationen ses som en transformation mellan två lösningar till sine-Gordon-ekvationen.

1. Origin of the model The hyperbolic sine-Gordon Sine-Gordon model and Thirring model Consider the action of the sine-Gordon model in the general form S sG[’] = Z d2x (@ ’)2 16ˇ + 2 cos ’ : (1) Here the action depends on two parameters: and . The parameter is dimensionless. We may consider it as the square root of the Planck constant: = p ~. Indeed, let u(x) = ’(x).
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also Soliton).

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Sine gordon





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. It was originally introduced by Edmond Bour (1862) in the course of study of surfaces of constant negative curvature as the Gauss–Codazzi equation for surfaces of curvature –1 in 3-space, [1] and rediscovered by Frenkel

The parameter is dimensionless. We may consider it as the square root of the Planck constant: = p ~. Indeed, let u(x) = ’(x). Then the action @article{osti_5081070, title = {Lattice sine-Gordon model with local Hamiltonian}, author = {Bogolyubov, N M and Izergin, A G}, abstractNote = {This paper obtains the excitation spectrum in the quantum lattice sine-Gordon model with Hamiltonian describing the interaction of two nearest neighbors on a lattice. This lattice model is one of the possible regularizations of the quantum field sine the sine-Gordon equation; here for the first time, we will point out its periodic solution. An effective mathematical approach to noise and uncertain properties of nonlinear vibrations arising in the engineering of architecture can be modeled by the fractional calculus.