Symmetry operators of the nonlocal fisher- kolmogorov-petrovskii-piskunov equation with a quadratic operator; Russian Physics Journal; Vol. 56, iss. 12
| Parent link: | Russian Physics Journal: Scientific Journal Vol. 56, iss. 12.— 2014.— [P. 1415-1426] |
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| Weitere Verfasser: | , |
| Zusammenfassung: | Title screen A class of nonlinear symmetry operators has been constructed for the many-dimensional nonlocal Fisher- Kolmogorov-Petrovskii-Piskunov equation quadratic in independent variables and derivatives. The construction of each symmetry operator includes an interwining operator for the auxiliary linear equations and additional nonlinear algebraic conditions. Symmetry operators for the one-dimensional equation with a constant influence function have been constructed in explicit form and used to obtain a countable set of exact solutions. Режим доступа: по договору с организацией-держателем ресурса |
| Sprache: | Englisch |
| Veröffentlicht: |
2014
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| Schlagworte: | |
| Online-Zugang: | http://elibrary.ru/item.asp?id=21873589 http://dx.doi.org/10.1007/s11182-014-0194-x |
| Format: | MixedMaterials Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=639912 |
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| 200 | 1 | |a Symmetry operators of the nonlocal fisher- kolmogorov-petrovskii-piskunov equation with a quadratic operator |f E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov | |
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| 320 | |a [References: p. 1426 (15 tit.)] | ||
| 330 | |a A class of nonlinear symmetry operators has been constructed for the many-dimensional nonlocal Fisher- Kolmogorov-Petrovskii-Piskunov equation quadratic in independent variables and derivatives. The construction of each symmetry operator includes an interwining operator for the auxiliary linear equations and additional nonlinear algebraic conditions. Symmetry operators for the one-dimensional equation with a constant influence function have been constructed in explicit form and used to obtain a countable set of exact solutions. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Russian Physics Journal |o Scientific Journal | ||
| 463 | |t Vol. 56, iss. 12 |v [P. 1415-1426] |d 2014 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Levchenko |b E. A. |c mathematician |c technician, Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1988- |g Evgeny Anatolievich |3 (RuTPU)RU\TPU\pers\31735 |9 15848 | |
| 701 | 1 | |a Trifonov |b A. Yu. |c physicist, mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1963-2021 |g Andrey Yurievich |3 (RuTPU)RU\TPU\pers\30754 |9 15024 | |
| 701 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 |9 15847 | |
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