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

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Sine gordon breather

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Please scroll down to see the full text. Download details: IP Address: 160.45.66.208 This content was downloaded on The noncommutative sine-Gordon breather André Fischera and Olaf Lechtenfelda Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany Received 17 November 2008; accepted 23 January 2009; published online 9 April 2009 As shown by Lechtenfeld et al. Nucl. 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.

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.

chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets.

Breather solutions of Sine-Gordon Using Finite Differences. Ask Question Asked 3 years, 11 months ago.

Low-intensity light pulses in optical fibers propagate linearly but dispersively (as described in “Solitons in the Sine-Gordon Equation”). This dispersion tends to 

Sine gordon breather

Controlled dynamics of sine-Gordon breather in long Josephson junctions. 2 Jun 2016 Sine-Gordon model, through the method of lattice regularization. We will see there are soliton, antisoliton and breather solutions. For us, the  6 Jul 2004 sine-Gordon field theory. Signatures of three breather branches and a soliton, as well as those of several multiparticle excitation modes, are  27 Feb 2014 Recently in one of my classes, we studied the Sine-Gordon theory, which is This 'breather' state looks like: Sine-Gordon Breather State  15 Apr 1992 A spatially periodic perturbation can lead to a breakup of large-amplitude sine- Gordon breathers into kink and anti kink solutions, each  15 May 2007 sine-Gordon model, which includes soliton and breather excitations, can be observed in experiments with time-dependent modulation of the  The Breather Surface: The Breather surface is the surface of Gaussian curvature minus one that corresponds to the following solution of the Sine-Gordon  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.

Sine gordon breather

Mai 2012 1/23 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 localized breather solutions of (2) different from the sine-Gordon breather is not known.
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Sine gordon breather

breather (i.e., not a standing wave) and the conditions under which it can persist in a -symmetric medium.

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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 a FENOMEC, Department of Mathematics and Mechanics, I.I.M.A.S., Universidad Nacional Autónoma de México, Apdo. 20-726, 01000 Mexico D.F., Mexico

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. It is shown that different kinds of solutions can be obtained for the (SG) equation, including breather solutions and breather lattice solutions.Physics, MultidisciplinarySCI(E)EI8ARTICLE115-217 The 2-soliton solutions of the sine-Gordon equation show some of the characteristic features of the solitons. The traveling sine-Gordon kinks and/or antikinks pass through each other as if perfectly permeable, and the only observed effect is a phase shift. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Sine-Gordon Breather Dynamics To cite this article: Alwyn C Scott 1979 Phys.

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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. We show that the breather can pass through the well and exit with a speed different, sometime larger, from the initial one. It can 2021-03-12 2009-09-01 1979-09-01 The influence of a boundary on a breather traveling in a Josephson line cavity is examined by means of numerical computations.

19  31 Jul 2013 GULEVICH, D.R., GAIFULLIN, M. and KUSMARTSEV, F.V., 2012. Controlled dynamics of sine-Gordon breather in long Josephson junctions. 2 Jun 2016 Sine-Gordon model, through the method of lattice regularization. We will see there are soliton, antisoliton and breather solutions. For us, the  6 Jul 2004 sine-Gordon field theory. Signatures of three breather branches and a soliton, as well as those of several multiparticle excitation modes, are  27 Feb 2014 Recently in one of my classes, we studied the Sine-Gordon theory, which is This 'breather' state looks like: Sine-Gordon Breather State  15 Apr 1992 A spatially periodic perturbation can lead to a breakup of large-amplitude sine- Gordon breathers into kink and anti kink solutions, each  15 May 2007 sine-Gordon model, which includes soliton and breather excitations, can be observed in experiments with time-dependent modulation of the  The Breather Surface: The Breather surface is the surface of Gaussian curvature minus one that corresponds to the following solution of the Sine-Gordon  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. the sine-Gordon equation as well as the Bäcklund Transformation and how our solutions can be obtained, one of the more interesting being the breather.