Zobrazeno 1 - 10
of 122
pro vyhledávání: '"nonlinear equations with partial derivatives"'
Autor:
I. E. Andrushkevich
Publikováno v:
Informatika, Vol 0, Iss 4(56), Pp 16-30 (2017)
The article considers the problem of the exact analytical solutions finding nonlinear equations of mathematical physics to simulate dynamic systems and nonlinear physical processes. The algorithm of the generalized Fourier method of variables separat
Externí odkaz:
https://doaj.org/article/d45839ebf72d4dcea122be5f4f1d0e85
Kniha
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Autor:
T. V. Red'kina, O. V. Novikova
Publikováno v:
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, Iss 2 (2020)
Background. A plurality of nonlinear equations in partial derivatives having a Lax pair are either exactly integrable or equations that allow rich classes of exact solutions. The most interesting studies from a practical point of view were the deve
Externí odkaz:
https://doaj.org/article/679deee63e784aacb25ddff4006b80be
Autor:
T. V. Red'kina, O. V. Novikova
Publikováno v:
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, Iss 3 (2020)
Background. The study of Backlund 's transformations is one of the current topics in the theory of differential equations in partial derivatives. Such transformations are used to find solutions to nonlinear differential equations, including soliton
Externí odkaz:
https://doaj.org/article/f5691a5f2fb948eaba2069f6cf7361d9
Publikováno v:
Axioms, Vol 10, Iss 4, p 337 (2021)
This work aims to obtain new transformations and auto-Bäcklund transformations for generalized Liouville equations with exponential nonlinearity having a factor depending on the first derivatives. This paper discusses the construction of Bäcklund t
Externí odkaz:
https://doaj.org/article/9c02784d8cb04868923c08a8cac7dc53
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 18, Iss 1, Pp 21-37 (2016)
The paper discusses a nonlinear parabolic equation describing the process of heat conduction for the case of the power dependence of the heat conductivity factor on temperature. Besides heat distribution in space, it describes filtration of a polytro
Externí odkaz:
https://doaj.org/article/01a0fe305a3a42fcb5801b8f4cb26fc9
Autor:
O. V. Novikova, T. V. Red'kina
Publikováno v:
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, Iss 2 (2020)
Background. A plurality of nonlinear equations in partial derivatives having a Lax pair are either exactly integrable or equations that allow rich classes of exact solutions. The most interesting studies from a practical point of view were the develo
Akademický článek
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Autor:
Kumar, Amit, Kumar, Sachin
Publikováno v:
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics; 2/20/2024, Vol. 38 Issue 5, p1-24, 24p
Publikováno v:
Известия Иркутского государственного университета. Серия: Математика.
В работе рассматривается нелинейное параболическое уравнение, описывающее процесс теплопроводности в случае степенной зависимости ко