Vol. 8, issue 03, article # 19

pdf Loginov V. M. Solitons and stochastic noise diagnostics. // Atmospheric and oceanic optics. 1995. V. 8. No. 03. P. 484-491.
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A new approach is proposed to stochastic noise diagnostics. The approach is based on the use of nonlinear distributed filters (NDF's), which represent either a real spatiotemporal physical process or a mathematical construction, specially adjusted and implemented using software. Solitons, i.e., nonlinear solitary waves, are proposed as NDF. Mathematically, the NDF can be constructed using exactly solvable models of nonlinear physics. The above–said is illustrated in examples of stochastic Korteweg–de Vries (KDV), sine Gordon (SG), and nonlinear Schrodinger (NS) equations.