Symmetries and Applications of Differential Equations

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

Albert C. J. Luo, Rafail K. Gazizov (Herausgeber)

Buch | Softcover

279 Seiten

2022 | 1st ed. 2021
Springer Verlag, Singapore
978-981-16-4685-0 (ISBN)

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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.

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.

Erscheinungsdatum	07.12.2022
Reihe/Serie	Nonlinear Physical Science
Zusatzinfo	18 Illustrations, color; 3 Illustrations, black and white; XVII, 279 p. 21 illus., 18 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Technik ► Maschinenbau
Schlagworte	Chaos-based communication • Conservative laws • Human related complex systems • Lie group analysis • Lie symmetry • nonlinear differential equations • Route to transient chaos
ISBN-10	981-16-4685-6 / 9811646856
ISBN-13	978-981-16-4685-0 / 9789811646850
Zustand	Neuware