Results 231 to 240 of about 1,104 (261)

On representations of the multisoliton solutions of the Sine-Gordon equation

Nonlinear Analysis: Theory, Methods & Applications, 1988
The paper deals with the equation \[ (S-G)\quad \partial^ 2\phi /\partial x^ 2-\partial^ 2\phi /\partial t^ 2=\sin \phi, \] where \(\phi\) is a real-valued map from \(R^ 2\) into [0,2\(\pi\) ]. The single soliton \(\phi\) : (x,t,u,\(\alpha\))\(\to (0,2\pi)\) are solitary wave solutions of (S-G) defined by \(\tan (\phi /4)=\exp [\epsilon \gamma (x- ut)+\
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The Nonlinear Sine-Gordon Equation

1985
In superconductors, at zero temperature, all electrons near the Fermi surface are united in pairs in a singlet-spin state with vanishing total momentum. As a result, their motion is correlated over distances of the order of the region of pairing (∿10−4 cm). This distance is called the coherence length.
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Breathers for the Sine-Gordon equation

1989
The problem of breathers, solutions of a nonlinear homogeneous wave equation that are nontrivial, time-dependent and T-periodic is considered. A manifold of such solutions is shown to exist in a distributional sense and some qualitative properties of these solutions are described.
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Transcendental solutions of the sine-Gordon equation

2001
Hoenselaers CA, MICCICHE', Salvatore
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Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line

Physics Letters, Section A: General, Atomic and Solid State Physics, 2022
Davronbek Matrasulov, Jambul Yusupov, Matthias Ehrhardt   +2 more
exaly  

Sine-Gordon Equation

2012
Graham W. Griffiths, William E. Schiesser   +1 more
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A numerical solution of the coupled sine-Gordon equation using the modified decomposition method

Applied Mathematics and Computation, 2006
S Saha Ray
exaly  

Numerical solution of sine-Gordon equation by variational iteration method

Physics Letters, Section A: General, Atomic and Solid State Physics, 2007
Belal Batiha, I Hashim, M S M Noorani
exaly  

The integrable time-dependent sine-Gordon equation with multiple optical kink solutions

Optik, 2019
Abdul-Majid Wazwaz
exaly  

A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

Mathematics and Computers in Simulation, 2008
Mehdi Dehghan, Ali Shokri
exaly