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| 001 | 636445 | ||
| 005 | 20231030040135.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\419 | ||
| 090 | _a636445 | ||
| 100 | _a20140124a2012 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aUS | ||
| 135 | _adrnn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aSymmetries of the Fisher–Kolmogorov–Petrovskii–Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation _fE. A. Levchenko, A. V. Shapovalov, A. Yu. Trifonov |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 330 | _aThe classical group analysis approach used to study the symmetries of integro-differential equations in a semiclassical approximation is considered for a class of nearly linear integro-differential equations. In a semiclassical approximation, an original integro-differential equation leads to a finite consistent system of differential equations whose symmetries can be calculated by performing standard group analysis.The approach is illustrated by the calculation of the Lie symmetries in explicit form for a special case of the one-dimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov population equation | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 |
_tJournal of Mathematical Analysis and Applications _oScientific Journal |
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| 463 |
_tVol. 395, iss. 2 _v[P. 716-726] _d2012 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _aintegro-differential equation | |
| 610 | 1 | _aинтегро-дифференциальные уравнения | |
| 610 | 1 | _alinear equation | |
| 610 | 1 | _aлинейные уравнения | |
| 610 | 1 | _asemiclassical approximation | |
| 610 | 1 | _aприближения | |
| 610 | 1 | _aLie symmetries | |
| 610 | 1 | _aсимметрии | |
| 701 | 1 |
_aLevchenko _bE. A. _cmathematician _cAssistant of Tomsk Polytechnic University _f1988- _gEvgeny Anatolievich _2stltpush _3(RuTPU)RU\TPU\pers\31735 |
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| 701 | 1 |
_aShapovalov _bA. V. _cmathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1949- _gAleksandr Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31734 |
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| 701 | 1 |
_aTrifonov _bA. Yu. _cphysicist, mathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1963- _gAndrey Yurievich _2stltpush _3(RuTPU)RU\TPU\pers\30754 |
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| 801 | 2 |
_aRU _b63413507 _c20151216 _gRCR |
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| 856 | 4 | _uhttp://dx.doi.org/10.1016/j.jmaa.2012.05.086 | |
| 942 | _cCF | ||