We introduce a new method for dealing with nonlinear stochastic systems. The method is based on a direct solution of coupled nonlinear integral equations for the static structure factor and the characteristic frequency. As an example we apply the new technique in its lowest order to the KPZ equation in two and three space dimensions. In two dimensions we obtain the known exact exponents and in three dimensions our result is in agreement with previous numerical results.
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Schwartz et al. (1992) studied this question.
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