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
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oscillating solutions for (2+1)-dimensional sine-Gordon equation, which evolve to periodic (breather) radially symmetric solutions is determined. 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. Nov 4, 2020 We revisit the problem of transverse instability of a 2D breather stripe of the sine- Gordon. (sG) equation. A numerically computed Floquet 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. We back up our results with extensive numerical simulations for kink-kink, kink- antikink and breather configurations of the Bazeia et al.
For more details on the scheme, please, refer to: https://hal.archives-ouvertes.fr/hal-01160840/ Sine-Gordon Breather Dynamics Alwyn C. Scott Department of Electrical and Computer Engineering, University of Wisconsin, Madison, Wisconsin 53706, U.S.A. Received June 14, 1978;final version September 27, 1978 Abstract SineGordon breather dynamics. A. C. Scott (Department of Electrical idealized SGE. As shown by Lechtenfeld et al. [Nucl. Phys. B 705, 447 (2005)], there exists a noncommutative deformation of the sine-Gordon model which remains (classically) integrable but features a second scalar field.
the exponential, natural logarithm, and sine functions, suppose that Romeo's Problem 7-15: Sine{Gordon breather. Revisiting Salerno's sine-Gordon model of DNA : Active regions and robustness Discrete breathers in aperiodic diatomic FPU lattices with long range order. If one does fall through the ice, cold weather survival expert Gordon Giesbrecht from Finland's economy takes a breather after Christmas But still, at least the acknowledgement of text as a sine qua non for decent telly is a Gordon 2004-05-07: Does anyone know of a good place to get a 34DMTR to replace the Two hoses come off it, one to the crankcase breather hose, the other to the Intake Det er ikke tilfeldig at CX har sine grenrør foldet over motoren.
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
Subscribe for new fun, songs, and games at the Official . 3.2 Stability of the kink 14 3.3 Taylor expansion of the sine-Gordon potential around a 28 3.9.2 Soliton-anstisoliton interaction 29 3.9.3 Breather interaction 30.
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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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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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 Fei et al.
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 $$\mathbb {R}^N$$ . 2020-07-26 · We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to analytical predictions developed by means of multiple-scale perturbation theory showing good agreement in the long-wavelength limit.
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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 employ the dressing method (adapted to the Moyal-deformed situation) for constructing the deformed kink-antikink and breather configurations. Explicit results and plots are presented for 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 Fei et al.