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Mai 2012 1/23 The influence of a boundary on a breather traveling in a Josephson line cavity is examined by means of numerical computations. For a passive termination the breather is reflected into a breather of less energy; when the characteristic impedance of the line equals the external load resistor the breather is almost annihilated. breather of the sine-Gordon model will only persist at the interface between gain and loss that PT -symmetry. imposes but will not be preserved if centered at the lossy or at the gain side. Sine-Gordon breather form factors and quantum eld equations H. Babujiany and M. Karowskiz Institut f¨ur Theoretische Physik Freie Universit¨at Berlin, Arnimallee 14, 14195 Berlin, Germany April 12, 2002 Abstract Using the results of previous investigations on sine-Gordon form factors exact 2007-01-15 · The Sine-Gordon integration curve was drawn for breather amplitudes corresponding to a pole at ξ = 0.499 + i 0.0316 at which the breather becomes clearly visible. We searched for poles in the parameter region 0 < A < 10 , 0.5 < w < 10 , so that δ w stayed reasonably smaller than the width of the pulse. Sine-Gordon Breather Dynamics To cite this article: Alwyn C Scott 1979 Phys.

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Printed in the UK PII: S0951-7715(00)06156-9 On radial sine-Gordon breathers G L Alﬁmov† ,WABEvans‡ and L Vazquez§´ † F V Lukin’s R Fei et al. 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 2021-03-22 · This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation. The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governing the soliton velocity. Time-dependent functions arise and their properties are studied.

## Nonlinear dynamics of the Fre... - LIBRIS

The influence of a boundary on a breather traveling in a Josephson line cavity is examined by means of numerical computations. For a passive termination the breather is reflected into a breather of less energy; when the characteristic impedance of the line equals the external load resistor the breather is almost annihilated. We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to analytical predictions developed by means of multiple-scale perturbation theory showing good agreement in the long-wavelength limit.

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479-244-3197 540-601 Phone Sine Eader. 479-244-0925. Jermanne Heigel. The sine-Gordon model is a paradigm for relativistic integrable models in 1+1 dimensions e.g., see Ref. 1 . Its multisoliton spectrum is well known and consists not only of multikink scattering conﬁgurations but also of bound states, the simplest of which is the so-called breather. Sine-Gordon standing breather is a swinging in time coupled kink-antikink 2-soliton solution. Large amplitude moving sine-Gordon breather.

Thermodynamics of the Boltzmann gas consisting of solitons, antisolitons, and breathers of the classical sine-Gordon system is studied by taking their interactions into account. 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. By virtue of the exact breather solutions and numerical simulations, we reveal that the extreme waves
12 Mar 2021 In this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in.

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ISSN: 1401-5757, TVE 16 030 maj Examinator: Martin Sjödin Ämnesgranskare: Gopi Tummala Handledare: Luigi Sine-Gordon breather form factors and quantum eld equations H. Babujiany and M. Karowskiz Institut fur Theoretische Physik Freie Universit at Berlin, Arnimallee 14, 14195 Berlin, Germany July 28, 2016 Abstract Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained PHYSICAL REVIEW A VOLUME 45, NUMBER 8 15 APRIL 1992 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 (Received 24 October 1991) We have carried out an extensive simulation program to study the behavior of sine In this work, we explore a prototypical example of a genuine continuum breather (i.e., not a standing wave) and the conditions under which it can persist in a PT-symmetric medium.

The traveling sine-Gordon kinks and/or antikinks pass through each other as if perfectly permeable, and the only observed effect is a phase shift. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Sine-Gordon Breather Dynamics To cite this article: Alwyn C Scott 1979 Phys.

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The main motivation of our study is to test the ideas Our main ﬁnding is that the breather of the sine-Gordon model will only persist at the interface between gain and loss that-symmetry imposes but will not be preserved if centered at the lossy or at the gain side. For the Sine-Gordon scalar field equation, the classical standing breather is the following (1.7) B (t, x; β): = 4 arctan (β α cos (α t) cosh (β x)), α 2 + β 2 = 1. (In Definition 2.1 it is also presented a general formula of the SG breather, involving breather of the sine-Gordon model will only persist at the interface between gain and loss that PT -symmetry imposes but will not be preserved if centered at the lossy or at the gain side.

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### Control of Homoclinic Chaos By Weak Peri: 55: Chacon, Ricardo

For a passive termination the breather is reflected into a breather of less energy; when the characteristic impedance of the line equals the external load resistor the breather is almost annihilated. We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to analytical predictions developed by means of multiple-scale perturbation theory showing good agreement in the long-wavelength limit. The particularity of this simulation is that the sine-Gordon breather does not possess enough energy to pass through the junction.

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The second is The influence of a boundary on a breather traveling in a Josephson line cavity is examined by means of numerical computations. Fingerprint Dive into the research topics of 'Reflection of sine-Gordon breathers'. Together they form a unique fingerprint. 1979-09-01 Sine-Gordon breather form factors and quantum eld equations H. Babujiany and M. Karowskiz Institut f¨ur Theoretische Physik Freie Universit¨at Berlin, Arnimallee 14, 14195 Berlin, Germany April 12, 2002 Abstract Using the results of previous investigations on sine-Gordon form factors exact Sine-Gordon breather form factors and quantum eld equations H. Babujiany and M. Karowskiz Institut fur Theoretische Physik Freie Universit at Berlin, Arnimallee 14, 14195 Berlin, Germany July 28, 2016 Abstract Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained We analyse the scattering of sine-Gordon breathers on a square potential well.

These properties are first described by suitable variational elliptic equations, Overview[edit]. Sine-Gordon standing breather is a swinging in time Currently, the sine-Gordon equation and its three simple solutions: kink, breather and phonons, are well studied [1-4]. The researchers strong interest is attracted 3.1.1 The explicit time independent sine-Gordon solution. 12 3.4 Energy density calculation for the sine-Gordon and the φ4-model 3.9.3 Breather interaction. oscillating solutions for (2+1)-dimensional sine-Gordon equation, which evolve to periodic (breather) radially symmetric solutions is determined. On the basis of Feb 5, 2018 loops show the performance of the scheme for kinks and breathers initial tial differential equations; graph theory; sine–Gordon equation.