The Sine-Gordon Equation
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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Degenerate multi-solitons in the sine-Gordon equation
... ◦ Instituto de Ciencias F´ısicas y Matem´ aticas, Universidad Austral de Chile, Casilla 567, Valdivia, Chile E-mail: [email protected], [email protected], [email protected] Abstract: We construct various ...
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Soliton systems, such as KdV equation, Sine-Gordon equation and Nonlinear Schríodinger
... KdV equation, Sine-Gordon equation and Nonlinear Schrodinger equation, have been found to enjoy many remarkable properties, for example, they may be solvable via Inverse Scattering ...
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A new approach for one dimensional sine Gordon equation
... Full list of author information is available at the end of the article Abstract In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary ...
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Legendre spectral element method for solving sine Gordon equation
... of sine-Gordon equation in one and two spatial ...nonlinear sine-Gordon equation by using the modified cubic B-spline differential quadrature ...
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The Semi-Classical Sine-Gordon Equation, Universality at the Gradient Catastrophe and the Painleve-I Equation
... In order to place the γ curve where Re(φ) < 0, we want the green region to connect w 0 and w = 1. As we can see from the previous figure, for the initial conditions we used, at t = 0.2 and t = 0.6, the green region does ...
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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 ...
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Decay of bound states in a sine Gordon equation with double well potentials
... V. CONCLUSIONS We have considered a spatially inhomogeneous sine-Gordon equation with a double well poten- tial and a time-periodic drive, modeling long Josephson junctions with phase-shifts. Using ...
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Global Attractors for a Class of Generalized Nonlinear Kirchhoff Sine Gordon Equation
... the equation at the initial boundary conditions. Sine-Gordon equation is a very useful model in ...the Sine-Gordon equation to superconductors, where the equation: ...
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Research Article New Travelling Wave Solutions for Sine-Gordon Equation
... Klein- Gordon equation. The equation, as well as several solution techniques, was known in the 19th century, but the equation grew greatly in importance when it was realized that it led to ...
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A new analytical modelling for nonlocal generalized Riesz fractional sine-Gordon equation
... KEYWORDS Modified decomposition method with Fourier transform MDM-FT; Riesz space fractional derivative; Nonlocal sine-Gordon equation; Hurwitz zeta function; Riemann zeta function; Gener[r] ...
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An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms
... fractional Sine-Gordon equation is implemented to construct some real and complex valued exact solutions to the Korteweg-de Vries and modified Korteweg-de Vries equation in time fractional ...
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A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation
... The Sine-Gordon equation is a nonlinear hyperbolic partial differential equation due to it including the d'Alembert operator and the sine of the unknown ...Codazzi equation for ...
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An optimized Crank–Nicolson finite difference extrapolating model for the fractional order parabolic type sine Gordon equation
... 8. Zhou, Y.J., Luo, Z.D.: A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine-Gordon equation. Adv. Differ. Equ. 2018, 137, 1–7 (2018) 9. Sirovich, L.: ...
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A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... 8. Zhou, S.F.: Dimension of the global attractor for the damped sine-Gordon equation. Acta Math. Sin. 39(5), 597–601 (1996) 9. Liu, S., Fu, Z.T., Liu, S.: Exact solutions to ...
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A matrix-based numerical method for the simulation of the two-dimensional sine-Gordon equation*,, **
... This equation is particularly relevant, because it appears in many areas in mathematics, mechanics and the- oretical physics. It describes, for instance, the deformation of a nonlinear crystal-lattice, dislocation ...
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On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... The fractional traveling wave transform and homogeneous balance have sig- nificant roles in the solution procedure. The predicted solution is of the form of some finite series of multiplication of powers of cos and sin ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... π t + Π x + m β 2 sin βφ = 0 , (2.21) and hence yields the sine-Gordon equation (2.5). From the point of view of PDEs, an important characteristic of integrable equations is the existence of an ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... and hence yields the sine-Gordon equation (2.5). From the point of view of PDEs, an important characteristic of integrable equations is the existence of an infinite numbers of conservation laws and ...
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Nonlinear waves in networks: model reduction for sine-Gordon
... Jean-Guy Caputo and Denys Dutykh Abstract. To study how nonlinear waves propagate across Y- and T-type junctions, we consider the 2D sine-Gordon equation as a model and examine the crossing of kinks ...
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