Toroidal solitons in 3 + 1 dimensional integrable theories
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In this article, the authors proposed a method to solve the problem of energy minimization in the context of physics at the University of Illinois at Chicago, Department of Physics, 845 W. Taylor St., Chicago, IL 60607-7059About:
This article is published in Physics Letters B.The article was published on 1999-06-10 and is currently open access. It has received 74 citations till now. The article focuses on the topics: Integrable system.read more
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Stationary ring solitons in field theory - knots and vortons
Eugen Radu,Mikhail S. Volkov +1 more
TL;DR: In this paper, the current status of the problem of constructing classical field theory solutions describing stationary vortex rings in Minkowski space in 3+1 dimensions is reviewed, and the first explicit construction of global vortons as solutions of the elliptic boundary value problem is presented, which demonstrates their non-radiating character.
Journal ArticleDOI
Stationary ring solitons in field theory — Knots and vortons
Eugen Radu,Mikhail S. Volkov +1 more
TL;DR: In this article, the current status of the problem of constructing classical field theory solutions describing stationary vortex rings in Minkowski space in 3+1 dimensions is reviewed. And the first explicit construction of global vortons as solutions of the elliptic boundary value problem, which demonstrates their non-radiating character.
Book
Topological and Non-Topological Solitons in Scalar Field Theories
TL;DR: In this article, the authors provide an introduction to integrable and non-integrable scalar field models with topological and nontopological soliton solutions focusing on both topologically and non topological solitons, bringing together debates around solitary waves and construction of soliton solution in various models and providing a discussion of soliton using simple model examples.
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Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero Hopf numbers
TL;DR: In this paper, an infinite number of Hopfions (static, soliton solutions with non-zero Hopf topological charges) were constructed explicitly in terms of the toroidal coordinates and shown to have a form of linked closed vortices.
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k-defects as compactons
TL;DR: In this paper, the authors show that topological compactons may be quite common objects if k-fields with nonstandard kinetic term are considered, by showing that even for models with well-behaved potentials the unusual kinetic part may lead to a power-like approach to the vacuum, which is a typical signal for the existence of compactons.
References
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Stable knot-like structures in classical field theory
TL;DR: In this paper, it was shown that knots can emerge as stable, finite-energy solutions in a local, three-dimensional langrangian field-theory model, which can be used to describe a large number of physical, chemical and biological systems.
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Knots and Particles
L. D. Faddeev,Antti J. Niemi +1 more
TL;DR: In this article, it was shown that all torus knots appear as solitons in a 3+1 dimensional model, and the results were extended to the case of 3He superfluids.
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Rational maps, monopoles and skyrmions
TL;DR: In this paper, the similarities between BPS monopoles and Skyrmions were discussed, and an underlying connection in terms of rational maps between Riemann spheres was made.
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Knots as stable soliton solutions in a three-dimensional classical field theory.
Richard A. Battye,Paul Sutcliffe +1 more
TL;DR: In this paper, the authors examine recent claims that knot-like structures exist in a simple classical field theory which are stabilized by the Hopf charge and present minimum energy configurations for charges one to eight generated numerically.
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Rational Maps, Monopoles and Skyrmions
TL;DR: In this article, the similarities between BPS monopoles and Skyrmions were discussed, and an underlying connection in terms of rational maps between Riemann spheres was made.
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Stable knot-like structures in classical field theory
Knots as stable soliton solutions in a three-dimensional classical field theory.
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