Stochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation

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dc.creatorYajima, Tetsu
dc.creatorUjino, Hideaki
dc.date2008-09-20
dc.date2008-10-05
dc.date.accessioned2026-07-07T12:24:24Z
dc.date.available2026-07-07T12:24:24Z
dc.descriptionStochastic processes associated with traveling wave solutions of the sine-Gordon equation are presented. The structure of the forward Kolmogorov equation as a conservation law is essential in the construction and so is the traveling wave structure. The derived stochastic processes are analyzed numerically. An interpretation of the behaviors of the stochastic processes is given in terms of the equation of motion.
dc.description12 pages, 9 figures; corrected typos
dc.identifierhttps://arxiv.org/abs/0809.3484
dc.identifierhttp://arxiv.org/abs/0809.3484
dc.identifierJ. Phys. Soc. Jpn. 77 (2008) 124003
dc.identifierdoi:10.1143/JPSJ.77.124003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214314
dc.subjectExactly Solvable and Integrable Systems
dc.titleStochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation
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