Morphology and scaling in the noisy burgers equation: Soliton approach to the strong coupling fixed point

The noisy Burgers equation in one dimension is treated by a nonlinear soliton approach based on the Martin-Siggia-Rose technique, In a canonical formulation the strong coupling fixed point is accessed by a principle of least action in the asymptotic nonperturbative weak noise limit. The scaling behavior and the growth morphology are described by a gas of solitons and a superposed gas of linear modes, The gapless soliton dispersion yields the dynamic exponent. The roughness exponent and the scaling function, of the form of a Levy distribution, follow from a spectral representation of the interface slope correlations. [S0031-9057(97)05282-4].