2007-01-15 · The Sine-Gordon integration curve was drawn for breather amplitudes corresponding to a pole at ξ = 0.499 + i 0.0316 at which the breather becomes clearly visible. We searched for poles in the parameter region 0 < A < 10 , 0.5 < w < 10 , so that δ w stayed reasonably smaller than the width of the pulse.

OSTI.GOV Journal Article: Interaction between sine-Gordon breathers. Interaction between sine-Gordon breathers. Full Record; Other Related Research

D resistive state. D breather and friends. The Sine Gordon Equation. In[1]:= Clear "Global' " There are also multi-soliton solutions, which we don't show, and a "breather" solu- tion, a bound soliton-anti Domain wall collision to 2D sine-Gordon equation which to the authors knowledge have not been A second exact solution to (1) is called the breather solution. tory; the soliton±antisoliton breather oscillates in a damped manner and slowly Keywords: Sine-Gordon equation; Linearly implicit finite difference methods; We consider a model called the coupled sine-Gordon equation for DNA dynamics The completely integrable coupled sine-Gordon equation admits kink-antikink “Sine-Gordon solitons, kinks and breathers as physical models of nonlinear&n Sine-Gordon Model. V(ϕ)=1−cos(ϕ). Breather Initial Conditions.

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. 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 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 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 Breather solutions of Sine-Gordon Using Finite Differences.

We back up our results with extensive numerical simulations for kink-kink, kink- antikink and breather configurations of the Bazeia et al. potential V q w = 64 q 2 tan well as single- and double-breather solutions of the discrete sine-Gordon equation. The dynamical features of discrete kinks and breathers are also illustrated.

5 Feb 2018 loops show the performance of the scheme for kinks and breathers initial tial differential equations; graph theory; sine–Gordon equation.

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 2020-07-26 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.

Inexcusably Personeriasm sine. 855-288-3660. Sallowness Breather Mopab. 855-288-1680 715-376 Phone Numbers in Gordon, Wisconsin. 855-288-3714

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.

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 2021-03-22 · This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation. The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governing the soliton velocity. Time-dependent functions arise and their properties are studied. 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.
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Controlled dynamics of sine-Gordon breather in long Josephson junctions.

sine-Gordon Gleichung: Solitonen und Breather Christoph Dreißigacker Im Proseminar Theoretische Physik 02. Mai 2012 1/23 The influence of a boundary on a breather traveling in a Josephson line cavity is examined by means of numerical computations. For a passive termination the breather is reflected into a breather of less energy; when the characteristic impedance of the line equals the external load resistor the breather is almost annihilated.
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Sine-Gordon Breather. Scattering of two sine-Gordon breathers. To run the program for other parameters, just modify the file sineGordon.par and run

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 content has been downloaded from IOPscience. Please scroll down to see the full text. Download details: IP Address: 160.45.66.208 This content was downloaded on As our model of interest, we will explore the sine-Gordon equation in the presence of a -symmetric perturbation.

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. 19

[2] Una condición necesaria para la existencia en el segundo caso (redes discretas no lineales), es que la frecuencia principal del breather y sus armónicos se encuentren fuera del espectro de frecuencias de los fonones de la red, esto es, las frecuencias del breather y de la red deben ser Abstract Breather dynamics in the sine-Gordon system with changing sine term coefficient is investigated. It is shown that for adiabatic changes the frequency of the breather in rescaled time is constant while the velocity changes just as the velocity of a kink. Breather excitations in the sine-Gordon equation influenced by constant driving forces are investigated—large driving forces cause the breather to split into a kk― (2π kink-2π antikink) pair while for small driving forces the breather excitations enter stationary modes. 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.

modeling a soliton-soliton and soliton-antisoliton collision, and the breather solution, We derive the first complete S-matrices of the supersymmetric sine-Gordon theory breathers are computed by considering multi-soliton scattering processes. Known Bethe ansatz results about the sine–Gordon factorized scattering are reinterpreted in terms of perturbed conformal field theory.