Coupled sine-gordon model pdf
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 … 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 …
Coupled sine-gordon model pdf
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WebCoupled 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]. 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.
WebSine-Gordon Equation The sine-Gordon equation is a nonlinear hyperbolic partialdifferential equation in-volving the d’Alembert operator and the sine of the unknown function. The equa-tion, as well as several solution techniques, were known in the nineteenth century in the course of study of various problems of differential geometry. … WebOct 1, 2010 · In this paper, we give exact soliton solutions and periodic solutions to the coupled sine–Gordon equation (1.1). In order to solve this equation, we introduce a new unknown function φ = φ ( t, x) by the formula (1.2) φ = u − w so that w = u − φ. This gives (1.3) { u t t − u x x = − δ 2 sin φ. u t t − φ t t − α 2 ( u x x − φ x x) = sin φ.
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... WebSine-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,
WebJan 1, 2014 · The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons ... systems of coupled sG equations, and others. ... Download chapter PDF 1 Exact and Perturbed sine-Gordon Equations: Fundamental Models of the Contemporary Mathematical and Theoretical Physics. One of commonly …
Web“With the emphasis on the applications, the goal of the authors is to highlight a few important aspects of the sine-Gordon story in the form of concise mini-reviews. … any students … her name is kissy kissy missyWebIn this paper, differential transform method (DTM) is applied to the sine-Gordon equation which arise in differential geometry, propagation of magnetic flux, stability of fluid motions, nonlinear physics and applied sciences. The method can easily be hernan casanova tennisWebMar 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 … hernan casanova tennis liveWeb3 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 … hernandez hinojosa marissaWebApr 15, 2006 · The numerical solutions of the coupled sine-Gordon Eq. (3.1) have been shown in Fig. 1, Fig. 2 with the help of five-term approximations ϕ 5 and ψ 5 for the decomposition series solutions of u(x, t) and w(x, t) respectively.In the present numerical computation we have assumed c = 1, δ = 1, A = 1, and k . = 1.6.. Fig. 1, Fig. 2 have been … hernando jaimesWebThe system of coupled sine-Gordon equations in the form u tt −u xx =−δ 2 sin ðÞu−v, v tt −α 2v xx =sin ðÞu−v, ( α>0,δ>0, ð1Þ was introduced by Khusnutdinova and Pelinovsky … herna koalahttp://scientiairanica.sharif.edu/article_3002_febfe68a65cc38d579da78f1d44623d4.pdf hernando jail