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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Gespeichert in:
| Autor*in: |
Levchenko, E. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Russian physics journal - Springer US, 1992, 60(2017), 2 vom: 31. Mai, Seite 284-291 |
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| Übergeordnetes Werk: |
volume:60 ; year:2017 ; number:2 ; day:31 ; month:05 ; pages:284-291 |
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| DOI / URN: |
10.1007/s11182-017-1073-z |
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| 520 | |a 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. | ||
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10.1007/s11182-017-1073-z doi (DE-627)OLC203308857X (DE-He213)s11182-017-1073-z-p DE-627 ger DE-627 rakwb eng 530 370 VZ Levchenko, E. A. verfasserin aut Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2017 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. nonlinear Fokker–Planck–Kolmogorov equation consistent system Lie symmetries invariant-group solution Trifonov, A. Yu. aut Shapovalov, A. V. aut Enthalten in Russian physics journal Springer US, 1992 60(2017), 2 vom: 31. Mai, Seite 284-291 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:60 year:2017 number:2 day:31 month:05 pages:284-291 https://doi.org/10.1007/s11182-017-1073-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2017 2 31 05 284-291 |
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10.1007/s11182-017-1073-z doi (DE-627)OLC203308857X (DE-He213)s11182-017-1073-z-p DE-627 ger DE-627 rakwb eng 530 370 VZ Levchenko, E. A. verfasserin aut Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2017 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. nonlinear Fokker–Planck–Kolmogorov equation consistent system Lie symmetries invariant-group solution Trifonov, A. Yu. aut Shapovalov, A. V. aut Enthalten in Russian physics journal Springer US, 1992 60(2017), 2 vom: 31. Mai, Seite 284-291 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:60 year:2017 number:2 day:31 month:05 pages:284-291 https://doi.org/10.1007/s11182-017-1073-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2017 2 31 05 284-291 |
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10.1007/s11182-017-1073-z doi (DE-627)OLC203308857X (DE-He213)s11182-017-1073-z-p DE-627 ger DE-627 rakwb eng 530 370 VZ Levchenko, E. A. verfasserin aut Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2017 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. nonlinear Fokker–Planck–Kolmogorov equation consistent system Lie symmetries invariant-group solution Trifonov, A. Yu. aut Shapovalov, A. V. aut Enthalten in Russian physics journal Springer US, 1992 60(2017), 2 vom: 31. Mai, Seite 284-291 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:60 year:2017 number:2 day:31 month:05 pages:284-291 https://doi.org/10.1007/s11182-017-1073-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2017 2 31 05 284-291 |
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10.1007/s11182-017-1073-z doi (DE-627)OLC203308857X (DE-He213)s11182-017-1073-z-p DE-627 ger DE-627 rakwb eng 530 370 VZ Levchenko, E. A. verfasserin aut Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2017 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. nonlinear Fokker–Planck–Kolmogorov equation consistent system Lie symmetries invariant-group solution Trifonov, A. Yu. aut Shapovalov, A. V. aut Enthalten in Russian physics journal Springer US, 1992 60(2017), 2 vom: 31. Mai, Seite 284-291 (DE-627)131169718 (DE-600)1138228-4 (DE-576)033029253 1064-8887 nnns volume:60 year:2017 number:2 day:31 month:05 pages:284-291 https://doi.org/10.1007/s11182-017-1073-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2017 2 31 05 284-291 |
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Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity |
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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. © Springer Science+Business Media New York 2017 |
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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. © Springer Science+Business Media New York 2017 |
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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. © Springer Science+Business Media New York 2017 |
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A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media New York 2017</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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. 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