Symmetries and Applications of Differential Equations In Memory of Nail H. Ibragimov (1939–2018)

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 -- Conse...

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Bibliographic Details
Other Authors: Luo, Albert C. J. (Editor), Gazizov, Rafail K. (Editor)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2021, 2021
Edition:1st ed. 2021
Series:Nonlinear Physical Science
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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