Symmetries and Applications of Differential Equations (eBook, PDF)

In Memory of Nail H. Ibragimov (1939-2018)
Redaktion: Luo, Albert C. J.; Gazizov, Rafail K.

• Format: PDF

Produktbeschreibung

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 classi¿cation, 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.

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Produktdetails

• Verlag: Springer Nature Singapore
• Seitenzahl: 279
• Erscheinungstermin: 14. Dezember 2021
• Englisch
• ISBN-13: 9789811646836
• Artikelnr.: 63298685

Autorenporträt

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. 

Inhaltsangabe

Approximate symmetry in nonlinear physics problems.- One-dimensional ows 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.