Lectures on the theory of group properties of differential equations /

These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains mat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ovsyannikov, L. V.
Otros Autores: Ibragimov, N. Kh. (Nailʹ Khaĭrullovich), Avdonina, E. D.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Beijing : Higher Education Press : World Scientific, ©2013.
Colección:Nonlinear physical science.
Temas:
Differential algebraic groups.
Lie groups.
Differential equations.
Differential equations, Nonlinear.
Groupes algébriques différentiels.
Groupes de Lie.
Équations différentielles.
Équations différentielles non linéaires.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential algebraic groups
Differential equations
Differential equations, Nonlinear
Lie groups
Differentialgleichung
Gruppe > Mathematik
Acceso en línea:Texto completo
Descripción
Sumario:These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models. Readers.
Descripción Física:1 online resource (xi, 141 pages)
ISBN:9787894236319
7894236314

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