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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 Postal 369, CEP 13560-970, São Carlos-SP, Brazil 2 Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, Propagation of a sine-Gordon breather on a graph. For more details on the scheme, please, refer to: https://hal.archives-ouvertes.fr/hal-01160840/ 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 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.
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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.
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Related content Solitons in Condensed Matter Physics A R Bishop-Soliton-Like Spin Waves in 3 He B P W Kitchenside, P J Caudrey and R … 2009-08-01 Lecture 1: sine-Gordon equation and solutions • Equivalent circuit • Derivation of sine-Gordon equation • The most important solutions plasma waves a soliton! chain of solitons resistive state breather and friends • Mechanical analog: the chain of pendula • Penetration of magnetic field Introduction to the fluxon dynamics in LJJ Nr. 2 Breather and soliton wave families for the sine-Gordon equation generation functions, we obtain the general form for the first two functions belonging to the sequence corresponding to the transformation (2.6). The first function is (1) F2 + 61 (c/a)1/2 F, = 1,2F (2.11) F with parameters determined by (2.10a)-(2.10 d). The second is 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'.
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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 the interface between gain and loss that -symmetry imposes but will not be preserved if centered at the lossy or at the gain side. This paper considers the damped, driven sine-Gordon equation with even, periodic boundary conditions on a finite length. Nearly integrable perturbation methods are applied to infer approximate solu
Mar 12, 2021 In this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in. The double sine-Gordon equation is considered in the case of a small parameter multiplying the half-angle sine. It is shown that initial distributions consis
The sine-Gordon Kink (red) and This is the sine-Gordon breather for: ep = 0.9.
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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.
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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.