Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity
The one-dimensional Fokker–Planck–Kolmogorov equation with a special type of nonlocal quadratic nonlinearity is represented as a consistent system of differential equations, including a dynamical system describing the evolution of the moments of the unknown function. Lie symmetries are found for the...
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| Veröffentlicht in: | Russian physics journal 2017-06, Vol.60 (2), p.284-291 |
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| container_title | Russian physics journal |
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| creator | Levchenko, E. A. Trifonov, A. Yu Shapovalov, A. V. |
| description | The one-dimensional Fokker–Planck–Kolmogorov equation with a special type of nonlocal quadratic nonlinearity is represented as a consistent system of differential equations, including a dynamical system describing the evolution of the moments of the unknown function. Lie symmetries are found for the consistent system using methods of classical group analysis. An example of an invariant-group solution obtained with an additional integral constraint imposed on the system is considered. |
| doi_str_mv | 10.1007/s11182-017-1073-z |
| format | Article |
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An example of an invariant-group solution obtained with an additional integral constraint imposed on the system is considered.</description><subject>Analysis</subject><subject>Condensed Matter Physics</subject><subject>Differential equations</subject><subject>Elementary Particle Physics and Field Theory</subject><subject>Evolution</subject><subject>Fokker-Planck equation</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Lasers</subject><subject>Mathematical analysis</subject><subject>Mathematical and Computational Physics</subject><subject>Nonlinearity</subject><subject>Nuclear Physics</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Theoretical</subject><issn>1064-8887</issn><issn>1573-9228</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kU1OwzAUhCMEEuXnAOwisQ7YSRzbS1R-BaIgYG25znNrmtitnYLaFXfghpwEl7Bgg7zwaDzf07MmSY4wOsEI0dOAMWZ5hjDNMKJFtt5KBphEwfOcbUeNqjJjjNHdZC-EV4QiVdFBYp9WbQudNxBSp9NuCunIQnZuWrDBOCub9NLNZuC_Pj4fGmnVLIpb17Ru4rx7Sy8WS9nFXPpuumkq03tnG6ci9biUtY9P6scyFqQ33eog2dGyCXD4e-8nL5cXz8Pr7G50dTM8u8tUQUiXcUR5UZMSyVpWOanHUCrGS6jHrORjrQlXWtOC05wSXmhMpCxZRREwQjCMWbGfHPdz594tlhA68eqWPv4mCMxRhWnJGImpkz41kQ0IY7XrvFTx1NAa5SxoE_2zkjOc84psANwDyrsQPGgx96aVfiUwEpseRN-DiD2ITQ9iHZm8Z0LM2gn4P6v8C30Dx1-Oag</recordid><startdate>20170601</startdate><enddate>20170601</enddate><creator>Levchenko, E. 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| subjects | Analysis Condensed Matter Physics Differential equations Elementary Particle Physics and Field Theory Evolution Fokker-Planck equation Hadrons Heavy Ions Lasers Mathematical analysis Mathematical and Computational Physics Nonlinearity Nuclear Physics Optical Devices Optics Photonics Physics Physics and Astronomy Theoretical |
| title | Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity |
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