Труды сотрудников института физики

/ O. V. Kaptsov, A. V. Zabluda // J. Phys. A. - 2005. - Vol. 38, Is. 14. - P. 3133-3144, DOI 10.1088/0305-4470/38/14/005. - Cited References: 22 . - ISSN 0305-4470РУБ Physics, Multidisciplinary + Physics, Mathematical

Аннотация: We develop a method that allows us to derive reductions and solutions to hyperbolic systems of partial differential equations. The method is based on using functions that are constant in the direction of characteristics of the system. These functions generalize well-known Riemann invariants. As applications we consider the gas dynamics system and ideal magnetohydrodynamics equations. In special cases, we find solutions of these equations depending on some arbitrary functions.

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Держатели документа:
RAS, Inst Computat Modelling, SB, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Institute of Computational Modelling, SB, RAS, Akademgorodok, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Zabluda, A. V.

/ O. V. Kaptsov, I. V. Verevkin // J. Phys. A. - 2003. - Vol. 36, Is. 5. - P. 1401-1414, DOI 10.1088/0305-4470/36/5/315. - Cited References: 29 . - ISSN 0305-4470РУБ Physics, Multidisciplinary + Physics, Mathematical

Аннотация: The differential constraints are applied to obtain explicit solutions of nonlinear diffusion equations. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the determining equations used in the search for classical Lie symmetries.

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Держатели документа:
RAS, Inst Comp Modeling, Krasnoyarsk 660036, Russia
ИВМ СО РАН
Institute of Computing Modeling, RAS, Academgorodok, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Verevkin, I. V.