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.

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

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Breather induced quantized superfluid vortex filaments and their to the Kuznetsov-Ma breather and super-regularbreather excitations developing from Breather induced quantized superfluid vortex filaments and their to the Kuznetsov-Ma breather and super-regularbreather excitations developing from as shock waves, traveling waves, and discrete breathers, numerous extensions of the discussed patterns, e.g., The sine-Gordon Model and its Applications. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral The sine-Gordon Model and its Applications. Discrete breathers; Nonlinear impurity modes; Peierls-Nabarro potential; sine-Gordon equation; Kink diffusion; Disorder, physics; Ucce Fysik Teoretisk 6.3.2 Enjoy the Klein{Gordon Vibes .

Collision and penetration of solitons, antisolitons and breathers. This solution of the sine-Gordon equation is called a breather for obvious reasons.

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].

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.

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PHYSICAL REVIEW E 88, 022915 (2013) Radial sine-Gordon kinks as sources of fast breathers J.-G. Caputo1 ,* and M. P. Soerensen2 † 1Department of Mathematics, University of Arizona, Tucson, Arizona 85719, USA 2Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs.Lyngby, Denmark (Received 18 March 2013; published 19 August 2013) 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 solution branches of space- and time-periodic breather trains of order one amplitude. These approximate solutions consist of coherent spatial structures, either homogeneous or with one breather per The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized parity-time-symmetric perturbation (defect) with a balanced gain and loss is investigated numerically.
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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. The sine-Gordon equation arises in applications as diverse as the description of “Auto-resonance excitation of a breather in weak ferromagnets,” Comput.

Breather solutions of Sine-Gordon Using Finite Differences. Ask Question Asked 3 years, 11 months ago. Active 3 years, 11 months ago.
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Feb 5, 2018 loops show the performance of the scheme for kinks and breathers initial tial differential equations; graph theory; sine–Gordon equation.

Formulae for the asymptotic behavior of bosonic form factors are presented which are motivated by Weinberg’s 2009-08-01 PHYSICAL REVIEW A VOLUME 45, NUMBER 8 15 APRIL 1992 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 (Received 24 October 1991) We have carried out an extensive simulation program to study the behavior of sine 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 We analyse the scattering of sine-Gordon breathers on a square potential well. We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the depth and width of the well.

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Sine-Gordon Breather Dynamics To cite this article: Alwyn C Scott 1979 Phys. Scr. 20 509 View the article online for updates and enhancements. 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 …

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. Interaction between sine-Gordon breathers.

sine-Gordon model: advanced topics J. Mateos Guilarte Non-perturbative renormalization of the sine-Gordon model The variational approach to the sine-Gordon model WKB formula for the mass of quantum breather states Lectures on Quantum sine-Gordon Models Juan Mateos Guilarte1;2 1Departamento de Física Fundamental (Universidad de Salamanca)

In: Proceedings on dynamical systems, Euler International Mathematical Institute, Sankt Petersburg, November 1991, ed. V.F. Lazutkin, to appear in Birkhäuser, Basel Google Scholar 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.

Formulae for the asymptotic behavior of bosonic form factors are presented which are motivated by Weinberg’s A multisoliton perturbation theory is used to study the dynamics of sine-Gordon breather solitons under the influence of various structural perturbations. Some of the results suggest a distinction that should be made between the "clock paradox" and the "twin paradox" of special relativity.

We analyse the scattering of sine-Gordon breathers on a square potential well. We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the depth and width of the well.