Results 21 to 30 of about 654 (181)
ON THE EXISTENCE OF KINK (SOLITON) STATES [PDF]
Reviews in Mathematical Physics, 1996 Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the [Formula: see text]-model. It is known that in these models there are also states, called soliton or kink states, which interpolate different vacua. We investigate the following question: Which are the properties a pair of
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Quantum kinks: Solitons at strong coupling [PDF]
Physical Review D, 1992 We examine solitons in theories with heavy fermions. These ``quantum'' solitons differ dramatically from semi-classical (perturbative) solitons because fermion loop effects are important when the Yukawa coupling is strong. We focus on kinks in a $(1+1)$--dimensional $ ^4$ theory coupled to fermions; a large-$N$ expansion is employed to treat the ...
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Supersonic kinks and solitons in active solids [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019 To show that steadily propagating nonlinear waves in active matter can be driven internally, we develop a prototypical model of a topological kink moving with a constant supersonic speed. We use a model of a bi-stable mass-spring (Fermi–Pasta–Ulam) chain capable of generating active stress. In contrast to subsonic kinks in passive bi-stable chains that
Gorbushin, N., Truskinovsky, L.
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Heterotic kink solitons and their worldvolume action [PDF]
Journal of High Energy Physics, 2012 We present a formalism for computing the higher-order corrections to the worldvolume action of a co-dimension one kink soliton embedded in five-dimensional heterotic M-theory. The geometry of heterotic M-theory, as well as the effective theory which describes a five-brane wrapping a holomorphic curve by a topological kink in a scalar field, is reviewed.
Ovrut, Burt A., Stokes, James
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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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Solitons: Kinks, Collisions and Breathers
, 2021 In this report, the various 1D single soliton and multi-soliton solutions of the Sine-Gordon equation are explored. First the topological kink solitons and their properties for the Sine-Gordon, as well as the $ ^{4}$ model are investigated. This includes energy and momentum conservation laws for both models, as well as static kinks and antikinks.
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Wigner distribution of Sine-Gordon and Kink solitons
Modern Physics Letters A, 2022 Wigner distributions play a significant role in formulating the phase–space analog of quantum mechanics. The Schrödinger wave functional for solitons is needed to derive it for solitons. The Wigner distribution derived can further be used for calculating the charge distributions, current densities and wave function amplitude in position or momentum ...
Ramkumar Radhakrishnan +1 more
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Extension on Bifurcations of Traveling Wave Solutions for a Two-Component Fornberg-Whitham Equation
Abstract and Applied Analysis, 2012 Fan et al. studied the bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation. They gave a part of possible phase portraits and obtained some uncertain parametric conditions for solitons and kink (antikink) solutions ...
Zhenshu Wen
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Entropy, 2020 In this paper, bright-dark, multi solitons, and other solutions of a (3 + 1)-dimensional cubic-quintic complex Ginzburg−Landau (CQCGL) dynamical equation are constructed via employing three proposed mathematical techniques.
Chen Yue +4 more
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Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index
Journal of the European Optical Society-Rapid Publications, 2023 The objective of the present study is to examine the behaviors of chirped optical solitons in fiber Bragg gratings (BGs) with dispersive reflectivity. The form of nonlinear refractive index represents polynomial law nonlinearity.
Al-Ghafri Khalil S. +4 more
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