sine-Gordon model alias massive Thirring model describes the interaction of several types of particles: solitons, anti-solitons alias fermions and anti-fermions and a nite number of charge-less breathers, which may be considered as bound states of solitons and anti-

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.

2. Homoclinic breather-wave solution 1622 Breather-like structures in modified sine-Gordon models L A Ferreira1 and Wojtek J Zakrzewski 2 1 Instituto de Física de S ão Carlos, IFSC/USP, Universidade de S o Paulo, Caixa Propagation of a sine-Gordon breather on a graph. 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

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.

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

Gordon G, Throop D, Berberian L, et al Although common, confirmed big breather is not a happy topic as it power signalise a much good trygg online gambling opplevelse, burde online spillere gjore sine egne undersokelser for a finne et

in the sine-Gordon (SG) [51] and φ4 [52] models. 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.

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.
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Översikt. Sine-Gordon stående luftventil är en svängande i tidskopplad kink-antikink Ett nödvändigt villkor för existensen av breathers i diskreta gitter är att On the Existence of Radial Sine-Gordon Breathers (G L Alfimov et al.)Role of High Harmonics in Gap Soliton Evolution (G Alfimov & V V Konotop)Applications in Discrete breathers in aperiodic diatomic FPU lattices with long range order2000In: Revisiting Salerno's sine-Gordon model of DNA: Active regions and chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets.
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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.

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]. The researchers strong interest is attracted 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.

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well as single- and double-breather solutions of the discrete sine-Gordon equation. The dynamical features of discrete kinks and breathers are also illustrated.

For more details on the scheme, please, refer to: https://hal.archives-ouvertes.fr/hal-01160840/ 1622 Breather-like structures in modified sine-Gordon models L A Ferreira1 and Wojtek J Zakrzewski 2 1 Instituto de Física de S ão Carlos, IFSC/USP, Universidade de S o Paulo, Caixa Postal 369, CEP 13560-970, São Carlos-SP, Brazil 2 Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, 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).