Soliton approach to the noisy Burgers equation: Steepest descent method

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Soliton approach to the noisy Burgers equation Steepest descent method

The noisy Burgers equation in one spatial dimension is analyzed by means of the Martin-SiggiaRose technique in functional form. In a canonical formulation the morphology and scaling behavior are accessed by mean of a principle of least action in the asymptotic non-perturbative weak noise limit. The ensuing coupled saddle point field equations for the local slope and noise fields, replacing the ...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 1998

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.57.4943