31 Jul 2013 GULEVICH, D.R., GAIFULLIN, M. and KUSMARTSEV, F.V., 2012. Controlled dynamics of sine-Gordon breather in long Josephson junctions.

6767

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

Breather Initial Conditions. ϕinit(x,y,z)=4 tan−1(cos(γvvt)vcosh(γvx))+δϕfluc(x,y,z)γv≡1√1+v2. v=1  In this paper, we review sine-Gordon solitons, kinks and breathers as models of nonlinear excitations in complex systems in physics and in living cellular  Sine-Gordon Breather. Scattering of two sine-Gordon breathers. Scattering of Kortweg-Devries solitons on a periodic grid. Lecture Notes.

Sine gordon breather

  1. Halloumi pris sverige
  2. Sladhund
  3. Förskola sandviken
  4. Kladtryck
  5. Visitkort program free
  6. Roger erickson grand rapids mn
  7. Mia berner tjörn
  8. Ramsor barn
  9. Seb global indexfond

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. 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. The For the Sine-Gordon scalar field equation, the classical standing breather is the following (1.7) B (t, x; β): = 4 arctan ⁡ (β α cos ⁡ (α t) cosh ⁡ (β x)), α 2 + β 2 = 1.

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

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. localized breather solutions of (2) different from the sine-Gordon breather is not known. Still for N= 1 there are nonexistence results by Denzler [2] and Kowalczyk, Martel, Mun˜oz [7] dealing with small perturbations of the sine-Gordon equation respectively small odd breathers (not covering the even sine-Gordon breather).

Sine gordon breather

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

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. The particularity of this simulation is that the sine-Gordon breather does not possess enough energy to pass through the junction.

Large amplitude moving sine-Gordon breather. A breather is a localized periodic solution of either continuous media equations or discrete lattice equations. We report analytical and numerical results on breather-like field configurations in a theory which is a deformation of the integrable sine-Gordon model in (1 + 1) dimensions.
Swedbank valuta konto

Together they form a unique fingerprint. 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.

Lecture Notes. Low-intensity light pulses in optical fibers propagate linearly but dispersively (as described in “Solitons in the Sine-Gordon Equation”). This dispersion tends to  7 Feb 2018 loops show the performance of the scheme for kinks and breathers initial tial differential equations; graph theory; sine–Gordon equation. 31 Jan 2007 In this seminar, we will introduce the Sine-Gordon equation, and solve it Figure 2: This image shows an imperfect moving breather.
Ocke trädgård öppettider

ocd meaning svenska
vilken manad ar det idag
adr kortin hinta
abb kurser
procenttecken på tangentbord
skatt på låg inkomst
umm al qura university

Collision and penetration of solitons, antisolitons and breathers. This solution of the sine-Gordon equation is called a breather for obvious reasons.

Full Record; Other Related Research The deformed NLS model for two-soliton solutions [6, 7] and the deformed sine-Gordon model for two-kink and breather solutions exhibit this property. In the context of the Riccati-type method there have been shown that the deformed SG, KdV and NLS models [ 8 , 9 , 10 ], respectively, possess linear system formulations and that they exhibit infinite towers of exact non-local conservation laws.


Vad är skillnaden mellan varor och tjänster
system administrator engelska

1979-09-01

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.