Symmetry operators of the nonlocal fisher- kolmogorov-petrovskii-piskunov equation with a quadratic operator

Dades bibliogràfiques
Parent link:Russian Physics Journal: Scientific Journal
Vol. 56, iss. 12.— 2014.— [P. 1415-1426]
Autor principal: Levchenko E. A. Evgeny Anatolievich
Autor corporatiu: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Altres autors: Trifonov A. Yu. Andrey Yurievich, Shapovalov A. V. Aleksandr Vasilyevich
Sumari: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
Publicat: 2014
Matèries:
Accés en línia:http://elibrary.ru/item.asp?id=21873589
http://dx.doi.org/10.1007/s11182-014-0194-x
Format: Electrònic Capítol de llibre
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=639912
Descripció
Sumari: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
DOI:10.1007/s11182-014-0194-x