Solution of the Kotteweg-de Vries equation as a 'set' for separation of additive mixture of a determined signal and Gauss noise

For exact separating an additive mixture of an arbitrary determined signal and the Gauss niose is intriduced a class of nonlinear distributed filters (NDF) presenting themselves nonlinear distributed dynamic systems. The main property of NDF is that the determined and random components of the mixture are characterized by in principle different physical manifestations. Taking as examples of NDF's are considered one-soliton solutions of the Korteweg-de Vries stochastic equation