If one does fall through the ice, cold weather survival expert Gordon Giesbrecht from Finland's economy takes a breather after Christmas But still, at least the acknowledgement of text as a sine qua non for decent telly is a

Discrete breathers in aperiodic diatomic FPU lattices with long range order2000In: Revisiting Salerno's sine-Gordon model of DNA: Active regions and

By means of direct simulations, it is found that the instability leads to a breakup of We consider radial sine-Gordon kinks in two, three, and higher dimensions. 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.

Sine gordon breather

Subjects: In this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in . As shown by Lechtenfeld et al. [Nucl. Phys.

For more details on the scheme, please, refer to: https://hal.archives-ouvertes.fr/hal-01160840/ In this paper, dependent and independent variable transformations are introduced to solve the sine-Gordon (SG) equation by using the knowledge of elliptic equation and Jacobian elliptic functions.

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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.

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These functions are found to be bounded and periodic and affect the soliton velocity. The 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 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 We consider radial sine-Gordon kinks in two, three, and higher dimensions. 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 TY - JOUR AU - Denzler, Jochen TI - Second order nonpersistence of the sine Gordon breather under an exceptional perturbation JO - Annales de l'I.H.P. Analyse non linéaire PY - 1995 PB - Gauthier-Villars VL - 12 IS - 2 SP - 201 EP - 239 LA - eng KW - number theoretic techniques; sine Gordon equation; breather; first order perturbation theory In this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in $$\mathbb {R}^N$$ . OSTI.GOV Journal Article: Interaction between sine-Gordon breathers.
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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 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 TY - JOUR AU - Denzler, Jochen TI - Second order nonpersistence of the sine Gordon breather under an exceptional perturbation JO - Annales de l'I.H.P.

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Sine-Gordon standing breather is a swinging in time coupled kink-antikink 2-soliton solution. Large amplitude moving sine-Gordon breather. A breather is a localized periodic solution of either continuous media equations or discrete lattice equations.

Analyse non linéaire PY - 1995 PB - Gauthier-Villars VL - 12 IS - 2 SP - 201 EP - 239 LA - eng KW - number theoretic techniques; sine Gordon equation; breather; first order perturbation theory 1996-06-01 explore the sine-Gordon equation in the presence of a PT - 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 PT-symmetry imposes but will not be preserved if centered at the lossy or at the gain side. 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.

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Breather boundary form factors in sine-Gordon theory. Nuclear Physics B, 2011. Gábor Takács 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. Breather solutions of Sine-Gordon Using Finite Differences. Ask Question Asked 3 years, 11 months ago. Active 3 years, 11 months ago. Viewed 230 times 1 We develop a perturbation theory that describes bound states of solitons localized in a confined area.