sine-Gordon
Generalized solution of Sine-Gordon equation
... the Sine-Gordon equation in generalized function theory, we give a result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau ...
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Berezinskii-Kosterlitz-Thouless phase transition from lattice sine-Gordon model
... This sine-Gordon model falls into a class of solid-on-solid (SOS) models, which display the BKT transition. In the context of the SOS models, this is a roughening transition. The relationship between ...
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A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation
... nonlinear Sine-Gordon ...nonlinear Sine- Gordon equation is a macroscale system of equations including lots of unknowns so as to undertake very large calculating load in the real-life ...
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Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class
... Even though some nonlinear partial differential equations are integrable, it may be not easy to integrate them. Instead, a predicted solution with parameters are assumed to be a solution of governing equations and the ...
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Block Unification Scheme for Elliptic, Telegraph, and Sine Gordon Partial Differential Equations
... C is the velocity of the solitary wave, and the boundary conditions are given according. The problem is solved for C = 0.5 , ∆ = t 0.125 , and ∆ = t 0.04 . This example was chosen to demonstrate that the EBNUM can be ...
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Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
... In the present manuscript we provide a general expression (see theorem 4.1) of a differ- ent kind, which solves all the consistency requirements. It is very generic by construction and, roughly speaking, captures the ...
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Exact Topological Soliton Solutions to the Strongly Perturbed Family of Sine Gordon Type Equations
... perturbed sine-Gordon (SG) type ...the sine-Gordon equa- tion and its variations under small, adiabatic ...to sine-Gordon type equations and higher order dispersive ...
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Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations
... This paper is structured as follows: Section 2 contains the basic definitions and the properties of the proposed method. Section 3 shows the theoretical approach of the proposed method on Sine Gordon ...
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A conservative difference scheme for the Riesz space fractional sine Gordon equation
... In this paper, we study a conservative difference scheme for the sine-Gordon equation (SGE) with the Riesz space fractional derivative. We rigorously establish the conservation property and solvability of ...
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Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
... energies, in region VI of Fig. 9a, although the mechanism is somewhat different than that for region III. This process is shown in Fig. 11k : after initially rebounding the antikink fails to escape the boundary and ...
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Numerical Solution of Klein/Sine Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets
... The rest of the paper is as follows: In Section 2, Chebyshev wavelet and its properties are discussed. Operational matrix of derivative required for our subsequent develop- ment is presented in Section 3. Section 4 is ...
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Massive symmetric space sine-Gordon soliton theories and perturbed conformal field theory
... The equations of motion of this kind of theories for more general choices of the normal subgroup H were originally considered in the context of the, so called, reduced two- dimensional σ-models [16], although their ...
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The Rise of Solitons in Sine Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function
... The sine-Gordon field theory and the associated massive Thirring model [1] are some of the best studied quantum field theories. In view of its connections to other important physical models, some of which ...
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Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
... both sine-Gordon and KdV, it was noted that, for a given choice of distinct real branch points, there is a range of values of the defect parameter for which the phase shift becomes generically complex and ...
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The Quantum Sine-Gordon model in perturbative AQFT : Convergence of the S-matrix and the interacting current
... Abstract: We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that ...
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Global Attractors for a Class of Generalized Nonlinear Kirchhoff Sine Gordon Equation
... u with respect to the variable t; u xx is the two-order partial derivative of the u about the independent variable x. Subsequently, Zhu [4] considered the following problem: u tt − α u t − u xx + λ g ( sin u ) = f x t ( ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... conditions on the fields obtained in this way were recognized as B¨ acklund transformations frozen at the location of the defect. This approach triggered a strong activity in the analysis of the defect in integrable ...
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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 pair points of ...
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A new approach for one dimensional sine Gordon equation
... one-dimensional sine-Gordon (SG) equation came into sight in the dif- ferential geometry and attracted a lot of attention because of the collisional behaviors of solitons that arise from this ...nonlinear ...
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Form factors of the homogeneous sine-Gordon models
... In [1] a certain physical picture for the quantum field theory of the Homogeneous Sine-Gordon models (HSG) [2] was extracted from a thermodynamic Bethe ansatz analysis. The central aim of this manuscript is ...
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