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

This content has been downloaded from IOPscience. Please scroll down to see the full text. Download details: IP Address: 160.45.66.208 This content was downloaded on The noncommutative sine-Gordon breather André Fischera and Olaf Lechtenfelda Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany Received 17 November 2008; accepted 23 January 2009; published online 9 April 2009 As shown by Lechtenfeld et al. Nucl.

D plasma waves. D a soliton! 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.

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

PHYSICAL REVIEW E 88, 022915 (2013) Radial sine-Gordon kinks as sources of fast breathers J.-G. Caputo1 ,* and M. P. Soerensen2 † 1Department of Mathematics, University of Arizona, Tucson, Arizona 85719, USA 2Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs.Lyngby, Denmark (Received 18 March 2013; published 19 August 2013) 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 solution branches of space- and time-periodic breather trains of order one amplitude. These approximate solutions consist of coherent spatial structures, either homogeneous or with one breather per The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized parity-time-symmetric perturbation (defect) with a balanced gain and loss is investigated numerically.

the sine-Gordon theory. An investigation of geometrical methods for finding the integrals of motions for the sine-Gordon field is made. Additionally the equivalence between the sine-Gordon model and the massive Thirring model is presented. ISSN: 1401-5757, TVE 16 030 maj Examinator: Martin Sjödin Ämnesgranskare: Gopi Tummala Handledare: Luigi

2021-02-02 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 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 Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained for several operators: all powers of the fundamental bose field, general exponentials of it, the energy momentum tensor and all higher currents. Formulae for the asymptotic behavior of bosonic form factors are presented which are motivated by Weinberg’s 2009-08-01 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 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 We analyse the scattering of sine-Gordon breathers on a square potential well. We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the depth and width of the well. We show that the breather can pass through the well and exit with a speed different, sometime larger, from the initial one. It can 2021-03-12 2009-09-01 1979-09-01 The influence of a boundary on a breather traveling in a Josephson line cavity is examined by means of numerical computations.

V(ϕ)=1−cos(ϕ). Breather Initial Conditions. ϕinit(x,y,z)=4 tan−1(cos(γvvt)vcosh(γvx))+δϕfluc(x,y,z)γv≡1√1+v2. v=1 In this paper, we review sine-Gordon solitons, kinks and breathers as models of nonlinear excitations in complex systems in physics and in living cellular Sine-Gordon Breather.
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Lynne Hurtes,James Arnold Taylor,Townsend Coleman,Kimberly Brooks,Kevin Smith. 7.0 IMDB Rating 3,625 Views. Firebreather · HD 20106.2. Firebreather.

8 Sep 1998 The approach of Steuerwald–Lamb for obtaining exact solutions of the sine– Gordon equation is further developed through transformations by

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. sine-Gordon Gleichung: Solitonen und Breather Christoph Dreißigacker Im Proseminar Theoretische Physik 02. Mai 2012 1/23 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 localized breather solutions of (2) diﬀerent from the sine-Gordon breather is not known.

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The noncommutative sine-Gordon breather André Fischera and Olaf Lechtenfelda Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany Received 17 November 2008; accepted 23 January 2009; published online 9 April 2009 As shown by Lechtenfeld et al. Nucl. Phys. B 705, 447 2005 , there exists a

Breather solutions of Sine-Gordon Using Finite Differences. Ask Question Asked 3 years, 11 months ago. Active 3 years, 11 months ago. Viewed 230 times 1 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.

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.

Sine-Gordon stående luftventil är en svängande i tidskopplad kink-antikink Ett nödvändigt villkor för existensen av breathers i diskreta gitter är att chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets. chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets. Discrete breathers in aperiodic diatomic FPU lattices with long range order2000In: Revisiting Salerno's sine-Gordon model of DNA: Active regions and Does the dynamics of sine–Gordon solitons predict active regions of DNA? TEXT idUS. Interaction of moving discrete breathers with vacancies. TEXT idUS. Breather induced quantized superfluid vortex filaments and their to the Kuznetsov-Ma breather and super-regularbreather excitations developing from Breather induced quantized superfluid vortex filaments and their to the Kuznetsov-Ma breather and super-regularbreather excitations developing from as shock waves, traveling waves, and discrete breathers, numerous extensions of the discussed patterns, e.g., The sine-Gordon Model and its Applications. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral The sine-Gordon Model and its Applications.

B 705, 447 (2005)], there exists a noncommutative deformation of the sine-Gordon model which remains (classically) integrable but features a second scalar field. 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. The breather is split into two: one is ejected from the well - "Scattering of sine-Gordon breathers on a potential well." Figure 1: a) Breather position for a well with L = 2, a = 0.2, v = = 0.1 and x0 = 29.92. The particularity of this simulation is that the sine-Gordon breather does not possess enough energy to pass through the junction.