Discrete breathers in aperiodic diatomic FPU lattices with long range order2000In: Revisiting Salerno's sine-Gordon model of DNA: Active regions and

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

Sine gordon breather

PHYSICAL REVIEW A VOLUME 45, NUMBER 8 15 APRIL 1992 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 (Received 24 October 1991) We have carried out an extensive simulation program to study the behavior of sine 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 latter dynamics is found to be interesting in its own right giving rise to kink-antikink pairs on the gain side and complete decay of the breather on the Denzler, J.: Nonpersistence of Breather solutions under perturbation of the sine Gordon equation. In: Proceedings on dynamical systems, Euler International Mathematical Institute, Sankt Petersburg, November 1991, ed. V.F. Lazutkin, to appear in Birkhäuser, Basel Google Scholar 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. Formulae for the asymptotic behavior of bosonic form factors are presented which are motivated by Weinberg’s As shown by Lechtenfeld et al.

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)

Phys. 50, 095201 2009 breather (i.e., not a standing wave) and the conditions under which it can persist in a -symmetric medium. As our model of interest, we will explore the sine-Gordon equation in the presence of a -symmetric perturbation.

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

We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation.

The second is 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 Fei et al.
Alain topor hitta

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.

We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the depth and width of the well. We show that the breather can pass through the well and exit with a speed different, sometime larger, from the initial one.
Dam i dockhem

2007-01-15

imposes but will not be preserved if centered at the lossy or at the gain side. 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 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. Sine-Gordon Breather Dynamics To cite this article: Alwyn C Scott 1979 Phys.

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

Our main ﬁnding is that the breather of the sine-Gordon model will only persist at A breather is a localized periodic solution of either continuous media equations or discrete lattice equations. The exactly solvable sine-Gordon equation and the focusing nonlinear Schrödinger equation are examples of one-dimensional partial differential equations that possess breather solutions. 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). 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 2009-08-01 · In this letter, applying a novel approach, the extension of the homoclinic test approach , , , , , , to (1 + 1)D Sine–Gordon equation we obtain a new type of two-wave solution, homoclinic breather-wave solution, which is a homoclinic wave with breather effect.

2 May 2019 our health. Gordon Hempton is leading the charge to change this. “The world's continual breathing is what we hear and call silence. A breather is a piece of headwear worn by Kryptonians.