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As shown by Lechtenfeld et al. [Nucl. 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.

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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. 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  well as single- and double-breather solutions of the discrete sine-Gordon equation. The dynamical features of discrete kinks and breathers are also illustrated.

We solve this equation on an interval [r, r1] and absorb all outgoing radiation. 2020-07-26 · 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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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. By means of direct simulations, it is found that the instability leads to a breakup of 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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A full two-dimensional simulation showing that azimuthal perturbations remain small allows us to reduce the problem to the one-dimensional radial sine-Gordon equation. 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. Breather solutions of Sine-Gordon Using Finite Differences.

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.
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driving home from Kansas we stopped in Oklahoma to give Ester a breather from her carseat. Han var en norsk maler kjent for sine nasjonalromantiske… A few months ago I stumbled onto Terri Gordon's blog and fell in love with her  Gordon G, Throop D, Berberian L, et al It is thence realize that breathing is united of the study entity of alteration. spilleautomater Stavern For a sikre trygg online gambling opplevelse, burde online spillere gjore sine egne undersokelser for  1039538 Sine.

Large amplitude moving sine-Gordon breather. A breather is a localized periodic solution of either continuous media equations or discrete lattice equations. We report analytical and numerical results on breather-like field configurations in a theory which is a deformation of the integrable sine-Gordon model in (1 + 1) dimensions.
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sufficient condition in order to have sequence of the exactly conserved charges in kink-kink, kink-antikink and breather systems of deformed sine-Gordon  In this paper we describe stability properties of the Sine-Gordon breather solution . 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.