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

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.

It was observed that the breather solution looked a lot like a bound state of two  The dimensional mass parameter m will be set to unity. In contrast to the sine- Gordon model with its soliton and breather solutions the sinh-Gordon model has only  8 Sep 1998 The approach of Steuerwald–Lamb for obtaining exact solutions of the sine– Gordon equation is further developed through transformations by  Overview[edit]. Sine-Gordon standing breather is a swinging in  We back up our results with extensive numerical simulations for kink-kink, kink- antikink and breather configurations of the Bazeia et al. potential V q w = 64 q 2 tan  Derivation of sine-Gordon equation. • The most important solutions. D plasma waves.

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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.

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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. The 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-Gordon breathers initially at rest in the presence of perturbations that are periodic in space and Propagation of a sine-Gordon breather on a graph.

Revisiting Salerno's sine-Gordon model of DNA : Active regions and robustness Discrete breathers in aperiodic diatomic FPU lattices with long range order.

Controlled dynamics of sine-Gordon breather in long Josephson junctions. Phys. Rev. B 75:174511 (2007) - Harvard Condensed Matter Theory cmt.harvard.edu/demler/PUBLICATIONS/ref79.pdf Jan 31, 2007 In this seminar, we will introduce the Sine-Gordon equation, and solve it Figure 2: This image shows an imperfect moving breather.

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. [2] Una condición necesaria para la existencia en el segundo caso (redes discretas no lineales), es que la frecuencia principal del breather y sus armónicos se encuentren fuera del espectro de frecuencias de los fonones de la red, esto es, las frecuencias del breather y de la red deben ser Abstract Breather dynamics in the sine-Gordon system with changing sine term coefficient is investigated. It is shown that for adiabatic changes the frequency of the breather in rescaled time is constant while the velocity changes just as the velocity of a kink. Breather excitations in the sine-Gordon equation influenced by constant driving forces are investigated—large driving forces cause the breather to split into a kk― (2π kink-2π antikink) pair while for small driving forces the breather excitations enter stationary modes. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): 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.
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We solve this equation on an interval [r 0,r 1] and absorb all outgoing radiation. As the kink shrinks OSTI.GOV Journal Article: Interaction between sine-Gordon breathers. Interaction between sine-Gordon breathers. Full Record; Other Related Research The deformed NLS model for two-soliton solutions [6, 7] and the deformed sine-Gordon model for two-kink and breather solutions exhibit this property. In the context of the Riccati-type method there have been shown that the deformed SG, KdV and NLS models [ 8 , 9 , 10 ], respectively, possess linear system formulations and that they exhibit infinite towers of exact non-local conservation laws.

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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. The latter dynamics is found to be interesting in its own right giving rise to kink-antikink pairs on the gain side and complete decay of the breather on the

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. The sine-Gordon equation arises in applications as diverse as the description of “Auto-resonance excitation of a breather in weak ferromagnets,” Comput. Nov 4, 2020 We revisit the problem of transverse instability of a 2D breather stripe of the sine- Gordon. (sG) equation. A numerically computed Floquet  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.