Symmetries and Applications of Differential Equations

In Memory of Nail H. Ibragimov (1939-2018)
1. Auflage 2021
ISBN: 978-981-16-4682-9
Verlag: Springer Nature Singapore

Buch, Englisch, 279 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 617 g

Reihe: Nonlinear Physical Science

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.

Zielgruppe

Research

Autoren/Hrsg.

Gazizov, Rafail K.

Luo, Albert C. J.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

Approximate symmetry in nonlinear physics problems.- One-dimensional ?ows of a polytropic gas: Lie group classi?cation, 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.

Über Autor(innen)

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.