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Related to Soliton theory: solitary wave


A pulselike wave that can exist in nonlinear systems, does not obey the superposition principle, and does not disperse.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.


(General Physics) physics an isolated particle-like wave that is a solution of certain equations for propagation, occurring when two solitary waves do not change their form after collision and subsequently travelling for considerable distances
[C20: from solit(ary) + -on]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.soliton - (physics) a quantum of energy or quasiparticle that can be propagated as a traveling wave in nonlinear systems and is neither preceded nor followed by another such disturbance; does not obey the superposition principle and does not dissipate; "soliton waves can travel long distances with little loss of energy or structure"
natural philosophy, physics - the science of matter and energy and their interactions; "his favorite subject was physics"
traveling wave, travelling wave - a wave in which the medium moves in the direction of propagation of the wave
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References in periodicals archive ?
A comparison of the Hodgkin-Huxley model and the soliton theory for the action potential in nerves.
Hirota, The Direct Method in Soliton Theory, Cambridge University Press, Cambridge, UK, 2004.
They play the important roles in mathematical physics, lattice soliton theory, cellular automata, and so on.
In soliton theory, nonlinear PDEs associated with some linear spectral problems can be generally classified as the isospectral equations which often describe solitary waves in lossless and uniform media and the nonisospectral equations describing the solitary waves in a certain type of nonuniform media.
Zhou, Darboux Transformation in Soliton Theory and Its Geometric Applications, Shanghai Scientific and Technical, Shanghai, China, 2005.
According to the soliton theory [29-30], the bell-type soliton in Equation (14) can move freely over macroscopic distances in a uniform velocity v in space-time retaining its form, energy, momentum and other quasi-particle properties.
Topics include: ball lightning as an optical incoherent space spherical soliton, soliton fiber lasers, the soliton theory of bio-energy transport in protein molecules, solitons in systems with a cylindrical symmetry, and the Riccati equation in the study of solitons.
A few specific topics explored are stochastic evolution of inviscid Burger fluid, singular solutions for geodesic flows of Vlasov moments, and reality problems in soliton theory. Pinsky teaches mathematics at Northwestern University; Birnir, at the University of California-Santa Barbara.
A new entry in the WIT Press series on Advances in Fluid Mechanics, this book describes the role that soliton theory plays in fluids in several contexts.
Periodic solutions and refractory periods in the soliton theory for nerves and the locust femoral nerve.
Soliton concept is an important milepost on the history of the development of the soliton theory. The next few decades, the soliton theory had a rapid development and penetrated into many areas, such as fluid mechanics, nonlinear optical fiber communication, plasma physics, fluid physics, chemistry, life science, and marine science [13-15].