Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation (Q852160)
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scientific article; zbMATH DE number 5076428
| Language | Label | Description | Also known as |
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| English | Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation |
scientific article; zbMATH DE number 5076428 |
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Nonlinear Fokker-Planck-Kolmogorov equation in the semiclassical coherent trajectory approximation (English)
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27 November 2006
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The paper concentrates on the development of an asymptotic method for solving the Cauchy problem for the two-dimensional Fokker-Planck-Kolmogorov equation with nonlocal nonlinearity. The method is based on the complex WKB-Maslov theory. The authors extend to two dimensions the results obtained in [\textit{A. Yu. Trifonov} and \textit{B. Trifonova}, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 28--35 (2002; Zbl 1063.82540)] and [\textit{S. Bellucci} and \textit{A. Yu. Trifonov}, J. Phys. A, Math. Gen. 38, No. 7, L103--L114 (2005; Zbl 1113.82054)]. At the end of the paper two examples are shown.
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Fokker-Planck-Kolmogorov equation
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Cauchy problem
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asymptotic methods
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0.9611522
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0.92867935
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0.92307246
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0.90830535
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0.90762496
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0.90211964
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0.9020208
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0.9017091
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0.9016768
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