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Topic: Soliton

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In the News (Tue 18 Jun 19)

  Soliton - Wikipedia, the free encyclopedia
In mathematics and physics, a soliton is a self-reinforcing solitary wave caused by nonlinear effects in the medium.
Solitons are found in many physical phenomena, as they arise as the solutions of a widespread class of weakly nonlinear partial differential equations describing physical systems.
The soliton phenomenon was first described by John Scott Russell (1808-1882) who observed a solitary wave in the Union Canal, reproduced the phenomenon in a wave tank, and named it the "Wave of Translation".
en.wikipedia.org /wiki/Soliton   (582 words)

 Soliton   (Site not responding. Last check: 2007-09-19)
A soliton is a self-reinforcing "solitary wave" in a nonlinear medium.
Solitons are found in many non-linear physical phenomena, as they are found as solutions of many different non-linear differential equations.
A classic example of a soliton is the Severn bore, a wave phenomenon in the River Severn.
www.theezine.net /s/soliton.html   (307 words)

 Quantum Ontology: Minds, Brains & Catalysis
Soliton waves (originally identified by J. Scott Russell in 1884) are non-dissipative waves that occur at the boundary between differing tendencies of waves.
In the case of solitons on membranes, there is a necessary relationship between the possibility of solitons existing and types of topological transformations which leave key geometric features unchanged (Rogers and Shadwick, 1982, p 107-110, also Rogers and Schief, 2002).
The soliton is not independent of the enzyme; it is expressed as movement amongst the atoms that comprise it.
www.psy.cmu.edu:16080 /~davia/mbc/8start.html   (962 words)

 Soliton (topological) - Wikipedia, the free encyclopedia
A topological soliton is a solution of a system of partial differential equations (or alternatively, a quantum field theory), not so much because of the nature of the PDEs themselves, but because of the boundary conditions entailing the existence of homotopically distinct solutions.
Examples of topological solitons include vortices in liquid crystals, magnetic flux tubes in superconductors and domain walls in ferromagnets.
Depending on the nature of symmetry breakdown various solitons are believed to have formed in the early universe according to Kibble-Higgs mechanism.
en.wikipedia.org /wiki/Soliton_(topological)   (182 words)

 FSD : Starship Operations : Soliton Wave
Although the soliton wave would require the two points - planets or planetoids - to be equipped with wave generators and wave dispersal facilities, the energy and power efficiency benefits make it a worthwhile proposition.
The scattering field on Lemma II was not designed to cope with a wave this powerful, and the Enterprise was forced to fly through the wave and head it off at the pass, firing a salvo of photon torpedoes to disrupt it.
Whether the soliton wave will ever replace warp drive on starships remains to be seen, although early tests reveal some advantages to the wave.
www.lcarscom.net /fsd/operations/wave.html   (663 words)

Mathematically, a soliton is a solution to a partial differential equation that is localized in some directions but not localized in time, and which does not change its shape.
The first soliton to be described was a water wave seen by the engineer and shipbuilder John Scott Russell (1808-1882) in 1834 when he was riding by the Grand Union Canal at Hermiston, Glasgow.
On Jul. 12, 1995, a viaduct at Hermiston was renamed the John Scott Russell viaduct, with Kruskal unveiling plaques and attempting to recreate a soliton wave.
www.daviddarling.info /encyclopedia/S/soliton.html   (339 words)

 ScienceWeek   (Site not responding. Last check: 2007-09-19)
Soliton research has been conducted in fields as diverse as particle physics, molecular biology, geology, oceanography, astrophysics, and nonlinear optics.
Solitons may be formed when a nonlinear interaction produces a self-focusing of the wave packet that compensates for dispersion.
The solitons are set in motion by offsetting the optical potential, and are observed to propagate in the potential for many oscillatory cycles without spreading.
scienceweek.com /2003/sw030404.htm   (10906 words)

 Soliton   (Site not responding. Last check: 2007-09-19)
The shape is chosen so that as the soliton travels down the fiber and interacts with dispersion in the fiber and nonlinearities in the fiber, the initial pulse shape is maintained.
A typical soliton pulse shape is shown in Figure 1.
The ability of soliton pulses to travel on the fiber and maintain it’s launch wave shape makes solitons a very attractive choice for very long distance, high data rate fiber optic transmission systems.
www.mrfiber.com /soliton.htm   (519 words)

 Soliton Wave   (Site not responding. Last check: 2007-09-19)
The leading developer of the soliton wave is Dr. Ja'Dar, a scientist from planet Bilana III.
The first full test of the soliton wave provided much excitement for those involved; they historically compared it to the breaking of the sound barrier by Chuck Yeager in the mid-20th century, and the light-speed barrier by Zefram Cochrane in the mid-21st century.
Whether the soliton wave will ever replace warp drive on starships remains to be seen, although early tests reveal some real advantages to the wave.
www.ccdump.org /solitonwave.html   (582 words)

 Dark Soliton PDFs and PSs- Periodically generated by Matlab   (Site not responding. Last check: 2007-09-19)
cillatory behavior of the dark soliton is the presence of the.
The motion of a dark soliton is investigated in a one-dimensional dilute Bose–
A dark soliton becomes unstable when it is incident on a background density...
www.technion.ac.il /~mofer/DarkSolitonPDFs.htm   (1616 words)

 Soliton Incorporated   (Site not responding. Last check: 2007-09-19)
Soliton is pleased to offer the APL enthusiast SHARP APL for Linux royalty-free.
Soliton supports the promotion of APL as a tool of thought for students, mathematicians, engineers, analysts, actuaries, application developers, and as a rapid application development environment.
Documentation for SHARP APL for Linux in PDF form is also available for download; alternatively, it may be ordered in hard copy form from Soliton by sending a message to sax-linux." class="bodyLink">sax@soliton.com.
www.soliton.com /sharp-linux.html   (238 words)

 Welcome to Soliton Technologies   (Site not responding. Last check: 2007-09-19)
Soliton is headquartered in Bangalore with a branch office Coimbatore, India and a 100% subsidiary company in Milwaukee, WI, USA.
Soliton is an alliance member of National Instruments since its inception and has the most experienced LabVIEW team in India.
Soliton has perfected a successive model for Offshore Test and Measurement development and has executed several projects for end users including Boeing, DaimlerChrysler, Hitachi, Intel, Nortel Networks, etc. Soliton is also a member of Texas Instruments 3rd party program with its initiatives in DSP based products.
www.solitonautomation.com /about_us.html   (292 words)

 Solitons   (Site not responding. Last check: 2007-09-19)
Solitons are solitary nonlinear pulses that can propagate over a long distance without appreciable deformation.
The first experimental observation of solitons was made by Scott Russel in 1844 when he was experimenting water wave propagation along a canal.
The velocity increases with the amplitude and in the cases shown, both the velocity and amplitude ratios are 4 to 1.
physics.usask.ca /~hirose/ep225/soliton.htm   (276 words)

 Solitons Home Page
A list of papers on experimental studies of solitons in water, kindly supplied by Jerry Bona.
5 lectures on soliton equations by Edward Frenkel.
NHK Soliton homepage (in Japan, "Soliton" is the name of a popular TV show for the younger generation...)
www.ma.hw.ac.uk /solitons   (349 words)

 The Soliton Stars Evolution -- from Mathematica Information Center
The evolution of a soliton star filled with fermmions is studies in the framework of general relativity.
The whole spacetime is divided by the surface of the soliton in to the false vacuum region inside the soliton and the true vacuum region outside, the latter being described by the Schwarzschild line element.
The aim of this paper is to study the equations of motion of the domain wall in two cases.
library.wolfram.com /infocenter/Articles/1213   (188 words)

 Welcome to Soliton Technologies   (Site not responding. Last check: 2007-09-19)
Soliton is the first Indian company to design and manufacture cameras.
Soliton’s cameras are available for both Area scan imaging and line scan imaging.
Soliton has over 6 years of experience in providing offshore LabVIEW services.
www.solitonautomation.com   (122 words)

 Nonlinear waves: Solitons   (Site not responding. Last check: 2007-09-19)
As a preliminary definition, a soliton is considered as solitary, traveling wave pulse solution of nonlinear partial differential equation (PDE).
Not so for the solitons: after a fully nonlinear interaction, the solitary waves remerge, retaining their identities with same speed and shape.
The beginning of soliton physics in often dated back to the month of August 1834 when John Scott Russell observed the ``great wave of translation''.
www.tu-chemnitz.de /physik/KSND/abb/node6.html   (336 words)

 Soliton trains and their interactions in nonlinear media
3] to determine the evolution of the soliton parameters.
Using the LDE reduction it is possible to obtain novel soliton dynamics describing the propagation of a compressive wave in the soliton positions through the lattice.
This compressive wave corresponds to a soliton of the LDE that in turn translates as a soliton of solitons, a Hyper-soliton, of the original PDE (1).
www-rohan.sdsu.edu /~rcarrete/research/researchWWW/node3.html   (366 words)

 Cartan's Corner : Falaco Solitons
A remarkable feature of Falaco solitons is that they are easy to create and are so ubiquitous.
Moreover, experimentation indicated that the long term soliton stability was due to the Global effect of the "string" connecting the two dimpled rotational surfaces.
The Falaco Solitons have the confinement properties of two quarks on the end of a string.
www22.pair.com /csdc/car/carfre3.htm   (1017 words)

 Ex Astris Scientia - Treknology Encyclopedia L-Z
The soliton wave is generated by a stationary generator on a planet and directed towards the ship in order to accelerate it to warp speed.
The concept of the soliton wave seems to be quite similar to conventional warp propulsion, considering that a wave is nothing but a traveling field.
Moreover, the TNG episode "New Ground", where the soliton wave was featured, demonstrated the risk of the wave that is hard to control once it is released and cannot be dissipated in the worst case.
www.ex-astris-scientia.org /treknology2.htm   (9473 words)

 Encyclopedia of Nonlinear Science
In simple terms, nonlinear science recognizes that the "whole is more than a sum of its parts," providing a context for consideration of phenomena like tsunamis (tidal waves), biological evolution, atmospheric dynamics, and the electrochemical activity of a human brain, among many others.
For a research scientist, nonlinear science offers novel phenomena, including the emergence of coherent structures (an optical soliton, for example, or a nerve impulse) and chaos (characterized by the difficulties in making accurate predictions for surprisingly simple systems over extended periods of time).
Interestingly, it is sometimes possible to compute the velocity of emergent entities (their speeds and shapes) from initial conditions and express them as tabulated functions (theta functions or elliptic functions), thereby extending the analytic reach of nonlinear analysis.
www.routledge-ny.com /nonlinearsci/introduction.html   (3049 words)

 EETimes.com - Structured fiber realizes soliton optical devices   (Site not responding. Last check: 2007-09-19)
In this case, the wavelength of the soliton was shifted in a 15-cm fiber section.
A soliton is a general wave phenomenon that behaves very nearly like a solid particle.
Soliton systems using photons in optical fibers, first demonstrated at Bell Laboratories in the 1980s, are viewed as a means of reducing the amount of signal regeneration required in a fiber system, since the soliton pulses are self-sustaining over large distances.
www.eetimes.com /story/OEG20010911S0057   (751 words)

 Incoherent Soliton PDFs and PSs- Periodically generated by Matlab   (Site not responding. Last check: 2007-09-19)
The first reported incoherent soliton is in M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys.
the spatially and temporally incoherent soliton, with a...
The generation of spatial soliton arrays in a planar Kerr...
www.technion.ac.il /~mofer/IncoherentSolitonPDFs.htm   (277 words)

 Recreating the Soliton on the Scott Russell Aqueduct   (Site not responding. Last check: 2007-09-19)
Recreating the Soliton on the Scott Russell Aqueduct
On Wednesday 12 July 1995, an international gathering of scientists witnessed a re-creation of the famous 1834 'first' sighting of a soliton or solitary wave on the Union Canal near Edinburgh.
In 1834, John Scott Russell was observing a boat being drawn along 'rapidly' by a pair of horses.
www.ma.hw.ac.uk /solitons/press.html   (446 words)

 Soliton Incorporated
Joho Capital implements TimeSquare from Soliton - 08 November 2004
Telekurs Financial continues co-operation with Soliton on new TimeSquare workflow
Soliton Extends Support for FT Interactive Data's Products - 25 May 2004
www.soliton.com   (47 words)

 Sci.Nonlinear FAQ 2.0 (Sept 2003) - [3] Applications and Advanced Theory   (Site not responding. Last check: 2007-09-19)
Solitons are simply a fundamental nonlinear wave phenomenon.
Many very basic linear systems with the addition of the simplest possible or first order nonlinearity support solitons; this universality means that solitons will arise in many important physical situations.
Optical fibers can support solitons, which because of their great stability are an ideal medium for transmitting information.
amath.colorado.edu /faculty/jdm/faq-[3].html   (4350 words)

 RVJ's Soliton Page
High-intensity nanosecond photorefractive spatial solitons, Konstantin Kos, Gregory Salamo and Mordechai Segev (
Theory of Incoherent Dark Solitons, Demetrios N. Christodoulides, Tamer H. Coskun, Matthew Mitchell, Zhigang Chen and Mordechai Segev (pdv).
MHD solitons and autosolitons in magnetic structures: research of Valery Nakariakov, University of Warwick.
people.deas.harvard.edu /~jones/solitons/solitons.html   (1020 words)

While the U.S.S. Enterprise heads for Bilana III to participate in the testing of a new propulsion method called the Soliton Wave, Worf receives an unexpected visit from his mother Helena and his son Alexander.
As the crew works frantically to create a backfire effect that could dissipate the wave and save the planet, they learn that Alexander is trapped in the biolab, where a fire has begun.
With seconds to spare, Worf and Riker rescue Alexander from the Biolab, while the crew successfully destroys the Soliton Wave.
www.startrek.com /startrek/view/series/TNG/episode/68526.html   (328 words)

 Snowmelt soliton index   (Site not responding. Last check: 2007-09-19)
Soliton propagation in optical fibers is a topic of considerable interest because of its relevance to fiber optic telecommunications.
The following pages summarize experimental results on soliton propagation in another waveguiding system that have been obtained over the past several years in a laboratory specially instrumented for such research:
Once it does, hitting the Space Bar should start and stop the movie at any point; pressing the left or right Arrow keys should step forward and back by single frames.
www.stanford.edu /~siegman/snowmelt_soliton_index.html   (144 words)

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