Stochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation
Exactly Solvable and Integrable Systems
2009-01-06 v2
Abstract
Stochastic 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.
Keywords
Cite
@article{arxiv.0809.3484,
title = {Stochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation},
author = {Tetsu Yajima and Hideaki Ujino},
journal= {arXiv preprint arXiv:0809.3484},
year = {2009}
}
Comments
12 pages, 9 figures; corrected typos