perturbed Sine-Gordon equation
Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices
... Herein, we use the method of Kuzmak-Luke [19, 20] to analyse the perturbed sine- Gordon equation for large-amplitude stationary and moving breathers. The stationary breather is a nonlinear ...
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Exact Topological Soliton Solutions to the Strongly Perturbed Family of Sine Gordon Type Equations
... to sine-Gordon type equations. Single, double, and triple sine-Gordon and sine-cosine-Gordon equations are investigated along with dispersive and highly dispersive ...each ...
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Massive symmetric space sine-Gordon soliton theories and perturbed conformal field theory
... the sine-Gordon equation for a bosonic field that takes values in a non- abelian Lie group, in contrast with the usual Toda field theories where the field takes values in the (abelian) Cartan ...
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New study to construct new solitary wave solutions for generalized sinh- Gordon equation
... The sine-Gordon equation is one of the essential nonlinear equations in mathematics and ...this equation. This equation arises as a special case of the Toda lattice equation, a ...
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On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... [4] Taghizadeh, N., Mirzazadeh, M., & Farahrooz, F. (2011). Exact soliton solu- tions of the modified KdV-KP equation and the Burgers-KP equation by using the first integral method. Applied Mathematical ...
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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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An optimized Crank–Nicolson finite difference extrapolating model for the fractional order parabolic type sine Gordon equation
... Though there are lots studies for fractional-order differential equations in recent years (see, e.g., [1–4]), there are few reports about the reduced-order study for the fractional- order differential equations except for ...
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An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms
... used to determine composite function solutions to the mKdV equation [9]. Imple- mentation of simple sin − cos ansatz techniques gives some traveling type wave solutions in forms of trigonometric and hyperbolic ...
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Analysis of the Motion of Frenkel Kontorova Dislocations in Single Crystals of Aluminum with Allowance for the Peierls Barrier
... The simulation was carried out using sine Gordon equation for the one-dimensional Frenkel-Kontorova dislocation model. In the Frenkel-Kontorova model, the atoms above the glide plane are material ...
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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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A multisymplectic approach to defects in integrable classical field theory
... the area of integrable defects in classical field theory. We showed the complete equivalence between the usual space canonical approach and new time canonical formulation for NLS equation without a defect. The ...
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Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... HSG theories can be viewed as interacting copies of complex sine-Gordon theo- ries. The classical equations of motion of these models correspond to non-abelian affine Toda equations [5, 10], which are known ...
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Identifying the operator content, the Homogeneous sine-Gordon models
... Our manuscript is organized as follows: In section 2 we recall [16] the solutions for the minimal form factors and the recursive equation which is central for the de- termination of the form factors. We describe ...
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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 multisymplectic approach to defects in integrable classical field theory
... the equation of motion) as well as that of all conserved quantities, we look for a transformation that preserves the zero curvature representation of the equation of ...
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A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... Though there have been many studies for the standard sine-Gordon equations (see, e.g., [6–10]), because RSFOPTSGEs not only include a first-order time derivative and the Riesz space fractional-order ...
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Breathers in the elliptic sine-Gordon model
... The functional relations of crossing, unitarity and bootstrap for the scattering amplitudes are usually solved by means of Fourier transformations, thus leading in general directly to integral representations for the ...
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Legendre spectral element method for solving sine Gordon equation
... one-dimensional sine-Gordon equation using collocation points and approximating the solution using thin plate splines radial basis ...integral equation to approximate the solution of one- ...
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Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation
... This work is organized as follows. In section 2, we present approximate symmetry and optimal system of the perturbed nonlinear Klein-Gordon equation. Section 3 is devoted to symmetry reductions of ...
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Geometrical interpretations of Bäcklund transformations and certain types of partial differential equations : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University
... We then illustrate how some well known PDEs such as the Schrodinger equation, the sine-Gordon equation, the Liouville equation and the Monge-Ampere equation can be generated from the Gau[r] ...
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