Symmetries and Applications of Differential Equations

In Memory of Nail H. Ibragimov (1939–2018)

Häftad, Engelska, 2022

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This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include:-- Approximate symmetry in nonlinear physical problems-- Complex methods for Lie symmetry analysis-- Lie group classiﬁcation, Symmetry analysis, and conservation laws -- Conservative difference schemes-- Hamiltonian structure and conservation laws of three-dimensional linear elasticity-- Involutive systems of partial differential equations This collection of works is written in memory of Professor Nail H. Ibragimov (1939–2018). It could be used as a reference book in differential equations in mathematics, mechanical, and electrical engineering.

Produktinformation

Utgivningsdatum2022-12-03
Mått155 x 235 x 17 mm
Vikt458 g
FormatHäftad
SpråkEngelska
SerieNonlinear Physical Science
Antal sidor279
FörlagSpringer Verlag, Singapore
ISBN9789811646850

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Professor Albert C. J. Luo has worked at Southern Illinois University Edwardsville, USA for over 30 years. Dr. Luo is an international well-known scientist in Nonlinear Dynamics and Mechanics.Professor Rafail K. Gazizov has worked at Ufa State Aviation Technical Universit, Ufa, Russia for almost 40 years. Dr. Gazizov is a recognized, well-known scientist in Differential Equations and Applications.

Approximate symmetry in nonlinear physics problems.- One-dimensional ﬂows of a polytropic gas: Lie group classiﬁcation, conservation laws, invariant and conservative difference schemes.- Hamiltonian structure and conservation laws of three-dimensional linear elasticity theory.-Complex methods for Lie symmetry analysis.- Symmetry analysis and conservation laws of a family of Boussinesq equations.- Group Analysis of the Guéant and Pu Model of Option Pricing and Hedging.- On Involutive Systems of Partial Differential Equations.- Group analysis of some Camassa-Holm type equations.