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

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

2008-09-20

arxiv.org/abs/0809.3484v2

J. Phys. Soc. Jpn. 77 (2008) 124003

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, 9 figures; corrected typos

Scientific paper

10.1143/JPSJ.77.124003

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.

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