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Coupled sine-gordon model pdf

WebJan 1, 2014 · The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational... Web2 Topological solitons: the sine-Gordon equation 42 2.1 A simple mechanical example: the chain of coupled pendula 42 2.2 Solutions of the sine-Gordon equation 44 2.3 Long …

Cauchy problem for the nonlinear Klein-Gordon equation coupled …

WebMay 5, 2024 · History. The Sine-Gordon model describes a coupled set of pendulums that hang from a common support rod. This system is the easiest system where something … WebAnother generalization of coupled sine-Gordon model has been given as an example of continuously degenerate soliton (Shifman and Voloshin, 1998). In contrast to the mod-els mention above, this model involves a highly coupled self-interacting fields with non-polynomial form. This model has richer structure and dynamics and deserves further anal ... teams public channel to private https://rixtravel.com

Linear response theory for a pair of coupled one-dimensional ...

WebIn this paper, we study the nonlinear Klein-Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy problem. (C) 2016 Elsevier Inc. WebMar 17, 2024 · Abstract and Figures The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems. Recent efforts have been … WebNov 30, 2015 · The asymptotic synchronization at the level of global random attractors is investigated for a class of coupled stochastic second order in time evolution equations. … spaceships of star wars

Exact solutions of coupled sine–Gordon equations - ScienceDirect

Category:The sine-Gordon Model: General Background, Physical ... - Springer

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Coupled sine-gordon model pdf

Linear response theory for a pair of coupled one-dimensional ...

WebWe luive found that the strong coupled interaction of Sine-Gordon model is re-lated to its we;ik coupled interaction by the su(2) gauge transformation. We therefore develop a … Web2. The Sine-Gordon Field Coupled to Oscillator at Boundary In this section we describe an integrable systems consisting of a sine-Gordon field restricted to the half line and coupled to an oscillator at the boundary. The sine-Gordon model is a 1+1 dimensional theory describing a rela-tivistic, self-interacting, massive, bosonicfield.

Coupled sine-gordon model pdf

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WebThe simplest equation method has been used for finding the exact solutions of coupled sine-Gordon equations. Such equations have some useful applications in physics and biology, so finding their exact solutions is of great importance. ... Download Free PDF. Download Free PDF. ... Where the linearized Poisson–Boltzmann cell model fails ... WebCoupled Sine-Gordon equations 1623 model [17,18]. System (5) with α = 1 was also proposed to describe the open states in DNA model [19]. Very recently, Alvaro H.Salas …

WebMay 15, 2007 · We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes soliton and breather excitations, can be observed in experiments with time-dependent modulation of the tunneling amplitude, potential difference between condensates, or phase of tunneling amplitude. WebOct 19, 2004 · We investigate a generalization of the massless boundary sine-Gordon model with conformal invariance, which has been used to describe an array of D-branes …

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WebMay 15, 2007 · We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes soliton and breather excitations, can be observed in experiments …

WebWe luive found that the strong coupled interaction of Sine-Gordon model is re-lated to its we;ik coupled interaction by the su(2) gauge transformation. We therefore develop a semi classical approach to deal with the infrared divergence in the conventional perturbation theory of the Hamiltonian of the quantum Sine-Gordon model. MIRAMARE ... spaceship song lyricsWebCoupled Sine-Gordon Equation We next consider a system of a coupled sine-Gordon equation (Example 2) in the form of: utt uxx= 2 sin(u w); (19) wtt c2wxx= sin(u w); (20) which models one-dimensional nonlinear wave pro-cesses in two component media [38]. The coupled sine-Gordon equation generalizes the Frenkel-Kontorova dislocation model [39]. spaceships on bankhead songWebSine-Gordon Nonlinearity and Derivative Coupling Jesús Cuevas-Maraver 1,2,, Boris A. Malomed 3 and Panayotis G. Kevrekidis 4 ... The basic PT-symmetric coupled SG model is formulated in Section 2, where conditions for the background stability of the system are derived as well. The dual system is supported by two couplings, teams public preview you\u0027re here earlyWebIn contrast to the sine-Gordon model, this model can be purely quantum integrable, when it does not admit a semiclassical description—a property that is generic to many multifield QFTs. The primary goal of this work is to investigate different thermodynamic properties of the double sine-Gordon model and propose experiments that can capture ... teams public previewWeb3 Sine-Gordon-model Before considering the coupled system of gravity and Sine-Gordon-model, first, I would like to review some of the main features of the latter in flat space … spaceship sneak mission as ginyuhttp://www.m-hikari.com/ams/ams-2011/ams-33-36-2011/zhaoyunmeiAMS33-36-2011.pdf teams public grouphttp://scientiairanica.sharif.edu/article_3002_febfe68a65cc38d579da78f1d44623d4.pdf teams public preview release notes