Skip to main content
SpringerLink
Log in

Symmetries and Applications of Differential Equations

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

  • Book
  • © 2021

Overview

Editors:
  1. Albert C. J. Luo

    1. Department of Mechanical and Mechatronics Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Rafail K. Gazizov

    1. Department of High Performance Computing, Ufa State Aviation Technical University, Ufa, Russia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Presents the recent development of Lie group analysis and applications of differential equations
  • Provides works collected in the memory of Professor Nail H. Ibragimov (1939-2018)
  • Introduces new methods and applications in linear and nonlinear differential equations

Part of the book series: Nonlinear Physical Science (NPS)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Approximate Symmetry in Nonlinear Physics Problems

    • V. F. Kovalev
    Pages 1-60

  3. One-Dimensional Flows of a Polytropic Gas: Lie Group Classification, Conservation Laws, Invariant and Conservative Difference Schemes

    • V. A. Dorodnitsyn, R. Kozlov, S. V. Meleshko
    Pages 61-98

  4. Hamiltonian Structure and Conservation Laws of Three-Dimensional Linear Elasticity Theory

    • D. O. Bykov, V. N. Grebenev, S. B. Medvedev
    Pages 99-123

  5. Complex Methods for Lie Symmetry Analysis

    • Asghar Qadir, Fazal M. Mahomed
    Pages 125-151

  6. Symmetry Analysis and Conservation Laws of a Family of Boussinesq Equations

    • M. S. Bruzón, M. L. Gandarias
    Pages 153-171

  7. Group Analysis of the Guéant and Pu Model of Option Pricing and Hedging

    • Khristofor V. Yadrikhinskiy, Vladimir E. Fedorov, Mikhail M. Dyshaev
    Pages 173-203

  8. On Involutive Systems of Partial Differential Equations

    • A. A. Talyshev
    Pages 205-233

  9. Group Analysis of Some Camassa–Holm-Type Equations

    • Igor Leite Freire, Júlio César Santos Sampaio
    Pages 235-249

  10. Partial Invariance and Problems with Free Boundaries

    • V. V. Pukhnachev
    Pages 251-267

  11. Group Properties of the Riemann Function

    • A. V. Aksenov
    Pages 269-279
Back to top

Keywords

About this book

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.



Editors and Affiliations

  • Department of Mechanical and Mechatronics Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

    Albert C. J. Luo

  • Department of High Performance Computing, Ufa State Aviation Technical University, Ufa, Russia

    Rafail K. Gazizov

About the editors

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. 


Bibliographic Information

  • Book Title: Symmetries and Applications of Differential Equations

  • Book Subtitle: In Memory of Nail H. Ibragimov (1939–2018)

  • Editors: Albert C. J. Luo, Rafail K. Gazizov

  • Series Title: Nonlinear Physical Science

  • DOI: https://doi.org/10.1007/978-981-16-4683-6

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Higher Education Press 2021

  • Hardcover ISBN: 978-981-16-4682-9Published: 02 December 2021

  • Softcover ISBN: 978-981-16-4685-0Published: 03 December 2022

  • eBook ISBN: 978-981-16-4683-6Published: 14 December 2021

  • Series ISSN: 1867-8440

  • Series E-ISSN: 1867-8459

  • Edition Number: 1

  • Number of Pages: XVII, 279

  • Number of Illustrations: 3 b/w illustrations, 18 illustrations in colour

  • Topics: Analysis, Engineering Fluid Dynamics, Topological Groups, Lie Groups

Publish with us

Policies and ethics

Back to top

Search

Navigation