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

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.

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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. These functions are found to be bounded and periodic and affect the soliton velocity.
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Control Of Homoclinic Chaos By Weak Periodic Perturbations

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 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 sine-Gordon model alias massive Thirring model describes the interaction of several types of particles: solitons, anti-solitons alias fermions and anti-fermions and a nite number of charge-less breathers, which may be considered as bound states of solitons and anti- Explicit results and plots are presented for the leading noncommutativity correction to the breather. Its temporal periodicity is unchanged.

As shown by Lechtenfeld et al. [Nucl.

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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. 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.

We employ the dressing method (adapted to the Moyal-deformed situation) for constructing the deformed kink-antikink and breather configurations. 2020-07-26 Nonlinearity 13 (2000) 1657–1680. 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 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 a FENOMEC, Department of Mathematics and Mechanics, I.I.M.A.S., Universidad Nacional Autónoma de México, Apdo. 20-726, 01000 Mexico D.F., Mexico 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. The Sine Gordon Equation In[1]:=Clear@"Global The "Breather" Solution There are also multi-soliton solutions, which we don’t show, and a "breather" solu-tion, a bound soliton-anti soliton pair, which oscillates and stays close to the ori-gin.