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Sine gordon breather

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. Thermodynamics of the Boltzmann gas consisting of solitons, antisolitons, and breathers of the classical sine-Gordon system is studied by taking their interactions into account. A compact expression for the thermodynamic potential is obtained, which agrees with that obtained from the classical limit of the Bethe-ansatz formulation of the quantum sine-Gordon thermodynamics. 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 2014-08-11 · The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized $\\mathcal{PT}$-symmetric perturbation (defect) with a balanced gain and loss is investigated numerically. It is demonstrated that if a kink passes the defect, it always restores its initial momentum and energy and the only effect of the interaction with the defect is a phase The "Breather" Solution There are also multi-soliton solutions, We verify that it satisfies the sine Gordon equation In[11]:=sinegordoneq@ubD Out[11]=True 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) 11 Feb 2020 framework of the sine-Gordon equation.

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It can 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 Sine-Gordon breather form factors and quantum eld equations H. Babujiany and M. Karowskiz Institut fur Theoretische Physik Freie Universit at Berlin, Arnimallee 14, 14195 Berlin, Germany July 28, 2016 Abstract Using the results of previous investigations on sine-Gordon form factors exact expressions of all breather matrix elements are obtained Nonlinearity 13 (2000) 1657–1680. Printed in the UK PII: S0951-7715(00)06156-9 On radial sine-Gordon breathers G L Alﬁmov† ,WABEvans‡ and L Vazquez§´ † F V Lukin’s R A multisoliton perturbation theory is used to study the dynamics of sine-Gordon breather solitons under the influence of various structural perturbations.

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The breather is split into two: one is ejected from the well - "Scattering of sine-Gordon breathers on a potential well." Figure 1: a) Breather position for a well with L = 2, a = 0.2, v = = 0.1 and x0 = 29.92.

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Our main ﬁnding is that the breather of the sine-Gordon model will only persist at 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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