| Issue |
Europhys. Lett.
Volume 56, Number 4, November 2001
|
|
|---|---|---|
| Page(s) | 492 - 498 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2001-00546-1 | |
| Published online | 01 December 2003 | |
Scaling function for the noisy Burgers equation in the soliton approximation
Institute of Physics and Astronomy,
University of Aarhus DK-8000, Aarhus C, Denmark
and
NORDITA - Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark
Received:
13
November
2000
Accepted:
22
August
2001
We derive the scaling function for the one-dimensional noisy Burgers equation in the two-soliton approximation within the weak-noise canonical phase space approach. The result is in agreement with an earlier heuristic expression and exhibits the correct scaling properties. The calculation presents the first step in a many-body treatment of the correlations in the Burgers equation.
PACS: 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Yv – Solitons
© EDP Sciences, 2001
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