Results 11 to 20 of about 39,926 (178)
A Two-Dimensional mKdV Linear Map and Its Application in Digital Image Cryptography
Algorithms, 2021 Cryptography is the science and study of protecting data in computer and communication systems from unauthorized disclosure and modification. An ordinary difference equation (a map) can be used in encryption–decryption algorithms.
La Zakaria +2 more
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A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
Nuclear Physics B, 2020 In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear method and Lie symmetry analysis, kink wave solutions and traveling wave solutions of the (2+1 ...
Gangwei Wang +4 more
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Is the Z2×Z2-graded sine-Gordon equation integrable?
Nuclear Physics B, 2021 We examine the question of the integrability of the recently defined Z2×Z2-graded sine-Gordon model, which is a natural generalisation of the supersymmetric sine-Gordon equation.
Andrew James Bruce
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Control for the sine-gordon equation [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2004 The damped sine-Gordon equation with non-homogeneous Dirichlet boundary conditions is considered. Optimal and robust boundary control problems associated to this equation are studied. After a short overview of some classical results concerning the existence and uniqueness of the solution of the sine-Gordon equation, the existence of a solution for the ...
Petcu, Madalina, Temam, Roger
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Multiple-scale analysis of the parametric-driven sine-Gordon equation with phase shifts
Open Physics, 2022 In this article, we model the current and voltage across the weak link between two superconductors. This gives us a nonhomogeneous, nonlinear parametric-driven sine-Gordon equation with phase shifts.
Munir Taj +7 more
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The Sine-Gordon solitons in nematic liquid crystals under the external electric field
Results in Physics, 2018 In this paper, we study the dynamic equation of molecular motion in nematic liquid crystals when there exists the twisting disturbance of the molecular arrangement under the external electric field.
Yan Li, Xiaobo Lu, Chunfeng Hou
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Vortex String Dynamics in an External Antisymmetric Tensor Field [PDF]
, 1999 We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation.
Bakas +29 more
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Exact solutions to the sine-Gordon equation [PDF]
Journal of Mathematical Physics, 2010 A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable x and the temporal variable t, and they are exponentially asymptotic to integer multiples of 2π as x → ±∞. The solution formulas are expressed explicitly in terms of a real
T. AKTOSUN +2 more
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The nonlinear and nonlocal integrable sine‐Gordon equation
Mathematical Modelling and Analysis, 2005 A new type of the nonlocal sine‐Gordon equation with the generalized interaction term is suggested. Its limit cases, symmetries and exact analytical solutions are obtained. This type of the nonlocal sine‐Gordon equation is shown to possess one‐, two‐ and
P. Miškinis
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Solitons and Black Holes [PDF]
, 1997 We explore the relationship between black holes in Jackiw-Teitelboim(JT) dilaton gravity and solitons in sine-Gordon field theory. Our analysis expands on the well known connection between solutions of the sine-Gordon equation and constant curvature ...
Ablowitz +15 more
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