The sine-Gordon model at reflectionless points
Breathers in the elliptic sine-Gordon model
... 8. Conclusion We demonstrated that when one relaxes the constraint on the coupling constants, one can construct a consistent breather sector for the elliptic sine-Gordon model. The scattering of the ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... the sine-Gordon model and it is shown that two completely equivalent Hamiltonian descriptions exist for this ...the sine-Gordon model with a defect from the Lagrangian and Lax ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... the sine-Gordon model and it is shown that two completely equivalent Hamiltonian descriptions exist for this ...the sine-Gordon model with a defect from the Lagrangian and Lax ...
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Nonlinear waves in networks: model reduction for sine-Gordon
... 2 L Figure 1. Sketch of the computational domain Ω. immediate result, that for small widths, there is no dependence of the velocity on the angle of the fork for the full 2D simulation. We therefore introduce a 1D ...
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Decoupling the SU(N)2-homogeneous sine-Gordon model
... PACS numbers: 11.10Hi, 11.10Kk, 11.30Er, 05.70.Jk I. INTRODUCTION For most integrable quantum field theories in 1+1 space-time dimensions it remains an open challenge to complete the entire bootstrap program, i.e. to ...
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Decoupling the SU(N)_2-homogeneous Sine-Gordon model
... PACS numbers: 11.10Hi, 11.10Kk, 11.30Er, 05.70.Jk I. INTRODUCTION For most integrable quantum field theories in 1+1 space-time dimensions it remains an open challenge to complete the entire bootstrap program, i.e. to ...
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Approximate solutions for solving the Klein–Gordon and sine-Gordon equations
... Ó 2015 University of Bahrain. Publishing services by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ ). 1. Introduction Differential ...
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Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
... a model of how much energy the incoming antikink loses in its initial collision with the boundary for a given v 0 and ...4 model on the full line a similar style of analysis has yielded considerable ...
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Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
... the Sine-Gordon model alias the massive Thirring model we exemplify the general solution for several ...Thirring model perturbation theory and thus confirm the general ...
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Berezinskii-Kosterlitz-Thouless phase transition from lattice sine-Gordon model
... We note that it is not necessary to take the k dependent step size dt(k) to be of the form (2.5). A follow-up study to the present one will be to optimize the choice of dt(k) using machine learning techniques. The figure ...
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Degenerate multi-solitons in the sine-Gordon equation
... 6. Conclusions We have constructed various types of degenerate multi-soliton solutions from three different methods commonly used in the context of classical nonlinear integrable systems. Using the recurrence relations ...
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Form factors of the homogeneous sine-Gordon models
... We provide general determinant formulae for all n-particle form factors related to the trace of the energy momentum tensor and the analogue of the order and disorder operator in the SU (3) 2 -homogeneous ...
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The Quantum Sine-Gordon model in perturbative AQFT : Convergence of the S-matrix and the interacting current
... the Sine-Gordon model in the regime of the coupling constant for which there is no need for renormalization, so the time ordered products are constructed directly and, as distributions, they are ...
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Identifying the operator content, the Homogeneous sine-Gordon models
... The quantity on which the identification is based is the conformal dimension of the operator. Naturally this implies that once the conformal field theory is degenerate in this quantity, as it is the case for the ...
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Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... We apply the thermodynamic Bethe Ansatz to investigate the high energy behaviour of a class of scattering matrices which have recently been proposed to describe the Homogeneous sine-Gordon models related to ...
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Legendre spectral element method for solving sine Gordon equation
... where P N is a polynomial space of dimension less than or equal to N. Basis functions are considered as the Lagrangian interpolation polynomials defined at Gauss–Lobatto inte- gration points on each element. If N e ...
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A conservative difference scheme for the Riesz space fractional sine Gordon equation
... His result supported the fact that nonlinear supratransmission is present in the Riesz space-fractional model. He also pointed out that numerical simulations for fractional SGE require enormous amount of computer ...
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Global Attractors for a Class of Generalized Nonlinear Kirchhoff Sine Gordon Equation
... conditions. Sine-Gordon equation is a very useful model in ...the Sine-Gordon equation to superconductors, where the equation: u tt − u xx + sin u = 0 , u tt is the two-order partial ...
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An optimized Crank–Nicolson finite difference extrapolating model for the fractional order parabolic type sine Gordon equation
... CCNFD model of the FOPTSGEs (1)–(3) has been established in [8], but it contains a lot of unknowns ...CCNFD model so as to alleviate the calculated load and the accumulation of the round-off errors in the ...
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Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
... Here, only solutions for which the defect acts as a transition between a field to the left of a defect and its B¨acklund transformed partner field to the right have been considered. This fact was critical to being able ...
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