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The sine-Gordon equation in the finite line
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An ultradiscretization of the sine-Gordon equation
Physics Letters A, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isojima, S. +3 more
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International Journal of Computer Mathematics, 2010
We present an efficient modification of the He's homotopy perturbation method that will facilitate the calculations. We apply this modification to solve sine-Gordon and coupled sine-Gordon equations, numerically. The new modification introduces a promising tool for many non-linear problems.
Mohammad Taghi Darvishi +3 more
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We present an efficient modification of the He's homotopy perturbation method that will facilitate the calculations. We apply this modification to solve sine-Gordon and coupled sine-Gordon equations, numerically. The new modification introduces a promising tool for many non-linear problems.
Mohammad Taghi Darvishi +3 more
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Exact solutions to the double Sine-Gordon equation
Chaos, Solitons & Fractals, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Mingliang, Li, Xiangzheng
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Critical properties of the quantum sine-Gordon equation
Physical Review B, 1991We have developed a quantum-mechanical approach to study the critical properties of the quantum sine-Gordon equation describing a massless scalar field in 1 + 1 space-time dimensions with interaction density proportional to cos(beta-0-phi). The main feature of the present theory is to find an appropriate starting point for perturbation expansion, which
, Zhang, , Chen, , Wu
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The dissipative sine-Gordon equation
Foundations of Physics Letters, 1996Application of the decomposition method to the generalizations of the sine-Gordon equation provide efficient analytic solution without linearization or perturbation.
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The sine-Gordon Equation of a Dislocation
2020The distances between the points of a lattice make up a characteristic length for the properties of a dislocation.
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Discrete sine-Gordon equations
Physical Review D, 1978Various discretizations of the sine-Gordon equation are studied. Hirota's discretization scheme is extended and two alternative discretization schemes are constructed. The associated soliton solutions, B\"acklund transformations, conservation laws, and the inverse scattering equations are obtained.
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The Nonlinear Sine-Gordon Equation
1985In 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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Transcendental solutions of the sine-Gordon equation
2001Hoenselaers CA, MICCICHE', Salvatore
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