Results 1 to 10 of about 1,104 (261)
Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
Nuclear Physics B, 2015 A Josephson junction is made of two superconductors sandwiching an insulator, and a Josephson vortex is a magnetic vortex (flux tube) absorbed into the Josephson junction, whose dynamics can be described by the sine-Gordon equation.
Muneto Nitta
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Results in Physics, 2023 Nonlinear partial differential equations serve as key components for the mathematical representation of engineering phenomena across several domains within the known universe.
Elsayed M.E. Zayed +6 more
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Padé numerical schemes for the sine-Gordon equation
Applied Mathematics and Computation, 2019 Projects EphemeCH (TIN2014-56494-C4-1-P) and DeepBIO (TIN2017-85727-C4-1-P) of the Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia del Ministerio de Ciencia e Innovación of Spain.
Francisca Martin-Vergara +2 more
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Symplectic deformations of integrable field theories and AdS/CFT
Physics Letters B, 2014 Relativistic integrable field theories like the sine-Gordon equation have an infinite set of conserved charges. In a light-front formalism these conserved charges are closely related to the integrable modified KdV hierarchy at the classical level.
Timothy J. Hollowood, J. Luis Miramontes
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Multiple mixed solutions of the nonlocal sine-Gordon equation
European Physical Journal C: Particles and FieldsIn this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types
Jian Li +3 more
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Excitement of solitons in the interaction of kinks of sine-Gordon equation with attracting impurity [PDF]
Компьютерные исследования и моделирование, 2012 We investigate analytically and numerically the structure and properties of localized two- and three-kink solutions of the sine-Gordon equation, which are excited in the region of the attracting impurity.
Evgeniy Grigorevich Ekomasov +2 more
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Wobbling Fractals for The Double Sine–Gordon Equation
Symmetry, 2023 This paper studies a perturbative approach for the double sine–Gordon equation. Following this path, we are able to obtain a system of differential equations that shows the amplitude and phase modulation of the approximate solution. In the case λ = 0, we get the well-known perturbation theory for the sine–Gordon equation.
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Exploring Physics-Informed Neural Networks for the Generalized Nonlinear Sine-Gordon Equation
Applied Computational Intelligence and Soft ComputingThe nonlinear sine-Gordon equation is a prevalent feature in numerous scientific and engineering problems. In this paper, we propose a machine learning-based approach, physics-informed neural networks (PINNs), to investigate and explore the solution of ...
Alemayehu Tamirie Deresse +1 more
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Exact renormalization group and Sine Gordon theory
Journal of High Energy Physics, 2017 The exact renormalization group is used to study the RG flow of quantities in field theories. The basic idea is to write an evolution operator for the flow and evaluate it in perturbation theory.
Prafulla Oak, B. Sathiapalan
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AxiomsThis study explores the (1+1)-dimensional Klein–Fock–Gordon equation, a distinct third-order nonlinear differential equation of significant theoretical interest.
Muhammad Uzair +3 more
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