Symmetry Operators of the Nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov Equation with a Quadratic Operator

Результат исследований: Материалы для журналаСтатья

1 цитирование (Scopus)

Выдержка

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.

Язык оригиналаАнглийский
Страницы (с-по)1415-1426
Число страниц12
ЖурналRussian Physics Journal
Том56
Номер выпуска12
DOI
СостояниеОпубликовано - 2014

Отпечаток

operators
symmetry
quadratic equations
linear equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Цитировать

Symmetry Operators of the Nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov Equation with a Quadratic Operator. / Levchenko, Evgeniy Anatolievich; Trifonov, A. Yu; Shapovalov, Aleksandr Vasilievich.

В: Russian Physics Journal, Том 56, № 12, 2014, стр. 1415-1426.

Результат исследований: Материалы для журналаСтатья

@article{f0dd127de06a40b8b31a18b7c50b1a3a,
title = "Symmetry Operators of the Nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov Equation with a Quadratic Operator",
abstract = "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.",
keywords = "interwining operator, nonlinear symmetry operator, nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation",
author = "Levchenko, {Evgeniy Anatolievich} and Trifonov, {A. Yu} and Shapovalov, {Aleksandr Vasilievich}",
year = "2014",
doi = "10.1007/s11182-014-0194-x",
language = "English",
volume = "56",
pages = "1415--1426",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "12",

}

TY - JOUR

T1 - Symmetry Operators of the Nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov Equation with a Quadratic Operator

AU - Levchenko, Evgeniy Anatolievich

AU - Trifonov, A. Yu

AU - Shapovalov, Aleksandr Vasilievich

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - interwining operator

KW - nonlinear symmetry operator

KW - nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation

UR - http://www.scopus.com/inward/record.url?scp=84899136537&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84899136537&partnerID=8YFLogxK

U2 - 10.1007/s11182-014-0194-x

DO - 10.1007/s11182-014-0194-x

M3 - Article

AN - SCOPUS:84899136537

VL - 56

SP - 1415

EP - 1426

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 12

ER -