Scaling function for the noisy Burgers equation in the soliton approximation
Institute of Physics and Astronomy,
University of Aarhus DK-8000, Aarhus C, Denmark
NORDITA - Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark
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