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B 705, 447 2005 , there exists a breather (i.e., not a standing wave) and the conditions under which it can persist in a -symmetric medium. As our model of interest, we will explore the sine-Gordon equation in the presence of a -symmetric perturbation. Our main finding is that the breather of the sine-Gordon model will only persist at A breather is a localized periodic solution of either continuous media equations or discrete lattice equations. The exactly solvable sine-Gordon equation and the focusing nonlinear Schrödinger equation are examples of one-dimensional partial differential equations that possess breather solutions. localized breather solutions of (2) different from the sine-Gordon breather is not known. Still for N= 1 there are nonexistence results by Denzler [2] and Kowalczyk, Martel, Mun˜oz [7] dealing with small perturbations of the sine-Gordon equation respectively small odd breathers (not covering the even sine-Gordon breather). 1622 Breather-like structures in modified sine-Gordon models L A Ferreira1 and Wojtek J Zakrzewski 2 1 Instituto de Física de S ão Carlos, IFSC/USP, Universidade de S o Paulo, Caixa 2009-08-01 · In this letter, applying a novel approach, the extension of the homoclinic test approach , , , , , , to (1 + 1)D Sine–Gordon equation we obtain a new type of two-wave solution, homoclinic breather-wave solution, which is a homoclinic wave with breather effect.

Sine gordon breather

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Im Proseminar Theoretische Physik. 02. Mai 2012. 1 / 23  We create cardiopulmonary devices, conduct research, and provide continuing education that is evidence-based and outcome-driven. 2 May 2019 our health. Gordon Hempton is leading the charge to change this. “The world's continual breathing is what we hear and call silence.

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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. Thus, it is confined to th breather in the →0 limit.

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Sine gordon breather

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.

50, 095201 2009 breather (i.e., not a standing wave) and the conditions under which it can persist in a -symmetric medium. As our model of interest, we will explore the sine-Gordon equation in the presence of a -symmetric perturbation. Our main finding is that the breather of the sine-Gordon model will only persist at 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. localized breather solutions of (2) different from the sine-Gordon breather is not known. Still for N= 1 there are nonexistence results by Denzler [2] and Kowalczyk, Martel, Mun˜oz [7] dealing with small perturbations of the sine-Gordon equation respectively small odd breathers (not covering the even sine-Gordon breather).
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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.

Signatures of three breather branches and a soliton, as well as those of several multiparticle excitation modes, are  27 Feb 2014 Recently in one of my classes, we studied the Sine-Gordon theory, which is This 'breather' state looks like: Sine-Gordon Breather State  15 Apr 1992 A spatially periodic perturbation can lead to a breakup of large-amplitude sine- Gordon breathers into kink and anti kink solutions, each  15 May 2007 sine-Gordon model, which includes soliton and breather excitations, can be observed in experiments with time-dependent modulation of the  The Breather Surface: The Breather surface is the surface of Gaussian curvature minus one that corresponds to the following solution of the Sine-Gordon  The Sine-Gordon Equation (SGE), q_{xt}= sin q, is a well-known soliton waves and two breather K=-1 surfaces: Breather surface 1, Breather surface 2.
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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) 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. It is demonstrated that if a kink passes the defect, it always restores its i … Read "The ‘breather-train’ solution of the Sine-Gordon equation with the ‘periodic wave–zero’ boundary conditions, Asymptotic Analysis" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. 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.

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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.

localized breather solutions of (2) different from the sine-Gordon breather is not known. Still for N= 1 there are nonexistence results by Denzler [2] and Kowalczyk, Martel, Mun˜oz [7] dealing with small perturbations of the sine-Gordon equation respectively small odd breathers (not covering the even sine-Gordon breather).