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D chain of solitons. D resistive state. D breather and friends. The Sine Gordon Equation. In[1]:= Clear "Global' " There are also multi-soliton solutions, which we don't show, and a "breather" solu- tion, a bound soliton-anti  Domain wall collision to 2D sine-Gordon equation which to the authors knowledge have not been A second exact solution to (1) is called the breather solution. tory; the soliton±antisoliton breather oscillates in a damped manner and slowly Keywords: Sine-Gordon equation; Linearly implicit finite difference methods;  We consider a model called the coupled sine-Gordon equation for DNA dynamics The completely integrable coupled sine-Gordon equation admits kink-antikink “Sine-Gordon solitons, kinks and breathers as physical models of nonlinear&n Sine-Gordon Model. V(ϕ)=1−cos(ϕ).

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For more details on the scheme, please, refer to: https://hal.archives-ouvertes.fr/hal-01160840/ The particularity of this simulation is that the sine-Gordon breather does not possess enough energy to pass through the junction. Thus, it is confined to th 2021-02-02 Sine-Gordon Breather Dynamics To cite this article: Alwyn C Scott 1979 Phys. Scr. 20 509 View the article online for updates and enhancements. Related content Solitons in Condensed Matter Physics A R Bishop-Soliton-Like Spin Waves in 3 He B P W Kitchenside, P J Caudrey and R … 2009-08-01 Lecture 1: sine-Gordon equation and solutions • Equivalent circuit • Derivation of sine-Gordon equation • The most important solutions plasma waves a soliton! chain of solitons resistive state breather and friends • Mechanical analog: the chain of pendula • Penetration of magnetic field Introduction to the fluxon dynamics in LJJ Nr. 2 Breather and soliton wave families for the sine-Gordon equation generation functions, we obtain the general form for the first two functions belonging to the sequence corresponding to the transformation (2.6). The first function is (1) F2 + 61 (c/a)1/2 F, = 1,2F (2.11) F with parameters determined by (2.10a)-(2.10 d). The second is The influence of a boundary on a breather traveling in a Josephson line cavity is examined by means of numerical computations.

breather plug — Svenska översättning - TechDico

We have investigated two special cases: a fluxon trapped by a microresistor and decay of a breather under dissipation. We have also carried out 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 Ejemplos del primer caso son la ecuación de sine-Gordon [1] y la ecuación no lineal de Schrödinger.

Coherent Structures in Granular Crystals - Christopher Chong

in the sine-Gordon (SG) [51] and φ4 [52] models. Scattering of a SG breather by localized defects has been investigated in the conservative case [53]. It has been shown that the breather can split into a kink and antikink pair or can be accelerated by the defect.

This is possible in conservative Noise induced breather generation in a sine–Gordon chain 2021-03-22 2016-07-12 As shown by Lechtenfeld et al. [Nucl. Phys. B 705, 447 (2005)], there exists a noncommutative deformation of the sine-Gordon model which remains (classically) integrable but features a second scalar field. We employ the dressing method (adapted to the Moyal-deformed situation) for constructing the deformed kink-antikink and breather configurations.
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A compact expression for the thermodynamic potential is obtained, which agrees with that obtained from the classical limit of the Bethe-ansatz formulation of the quantum sine-Gordon thermodynamics. This paper considers the damped, driven sine-Gordon equation with even, periodic boundary conditions on a finite length. Nearly integrable perturbation methods are applied to infer approximate solu 2014-08-11 · The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized $\\mathcal{PT}$-symmetric perturbation (defect) with a balanced gain and loss is investigated numerically. It is demonstrated that if a kink passes the defect, it always restores its initial momentum and energy and the only effect of the interaction with the defect is a phase The "Breather" Solution There are also multi-soliton solutions, We verify that it satisfies the sine Gordon equation In[11]:=sinegordoneq@ubD Out[11]=True sine-Gordon model: advanced topics J. Mateos Guilarte Non-perturbative renormalization of the sine-Gordon model The variational approach to the sine-Gordon model WKB formula for the mass of quantum breather states Lectures on Quantum sine-Gordon Models Juan Mateos Guilarte1;2 1Departamento de Física Fundamental (Universidad de Salamanca) 11 Feb 2020 framework of the sine-Gordon equation.

These functions are found to be bounded and periodic and affect the soliton velocity.
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The Sine-Gordon breathers on spatially periodic potentials Angel Sanchez,* Rainer Scharf, Alan R. Bishop, and Luis Vazquez* Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 OSTI.GOV Journal Article: Sine-Gordon breathers on spatially periodic potentials Physica D 189 (2004) 167–187 Evolution of two-dimensional standing and travelling breather solutions for the Sine–Gordon equation A.A. Minzonia, Noel F. Smythb,∗, Annette L. Worthyc We consider radial sine-Gordon kinks in two, three, and higher dimensions. A full two-dimensional simulation showing that azimuthal perturbations remain small allows us to reduce the problem to the one-dimensional radial sine-Gordon equation. We solve this equation on an interval [r 0,r 1] and absorb all outgoing radiation. As the kink shrinks TY - JOUR AU - Denzler, Jochen TI - Second order nonpersistence of the sine Gordon breather under an exceptional perturbation JO - Annales de l'I.H.P. Analyse non linéaire PY - 1995 PB - Gauthier-Villars VL - 12 IS - 2 SP - 201 EP - 239 LA - eng KW - number theoretic techniques; sine Gordon equation; breather; first order perturbation theory In this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in $$\mathbb {R}^N$$ . OSTI.GOV Journal Article: Interaction between sine-Gordon breathers.