3.1.1 The explicit time independent sine-Gordon solution. 12 3.4 Energy density calculation for the sine-Gordon and the φ4-model 3.9.3 Breather interaction.

1996-06-01

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. 12 3.4 Energy density calculation for the sine-Gordon and the φ4-model 3.9.3 Breather interaction. oscillating solutions for (2+1)-dimensional sine-Gordon equation, which evolve to periodic (breather) radially symmetric solutions is determined.

Sine gordon breather

Phys. 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).

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. We searched for poles in the parameter region 0 < A < 10 , 0.5 < w < 10 , so that δ w stayed reasonably smaller than the width of the pulse.

855-288-3660. Sallowness Breather Mopab. 855-288-1680 715-376 Phone Numbers in Gordon, Wisconsin.

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. By means of direct simulations, it is found that the instability leads to a breakup of

We compare form factors in sine-Gordon theory, obtained via the bootstrap, to ﬁnite volume matrix elements computed using the truncated conformal space ap-proach. For breather form factors, this is essentially a straightforward application of a previously developed formalism that describes the volume dependence of operator The rigidity of sine‐gordon breathers The rigidity of sine‐gordon breathers Birnir, Björn; McKean, Henry P.; Weinstein, Alan 1994-08-01 00:00:00 HENRY P. McKEAN Courant Institute AND ALAN WEINSTEIN University of California at Berkeley 1.

The main motivation of our study is to test the ideas Our main ﬁnding is that the breather of the sine-Gordon model will only persist at the interface between gain and loss that-symmetry imposes but will not be preserved if centered at the lossy or at the gain side.
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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. We employ the dressing method (adapted to the Moyal-deformed situation) for constructing the deformed kink-antikink and breather configurations.

tory; the soliton±antisoliton breather oscillates in a damped manner and slowly Keywords: Sine-Gordon equation; Linearly implicit finite difference methods; We consider a model called the coupled sine-Gordon equation for DNA dynamics The completely integrable coupled sine-Gordon equation admits kink-antikink “Sine-Gordon solitons, kinks and breathers as physical models of nonlinear&n Sine-Gordon Model.
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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.

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. 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.

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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.

Phys. 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.