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Symmetries and Applications of Differential Equations : In Memory of Nail H. Ibragimov (1939–2018) / edited by Albert C. J. Luo, Rafail K. Gazizov.
Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International Available online
View online- Format:
- Book
- Series:
- Nonlinear Physical Science, 1867-8459
- Language:
- English
- Subjects (All):
- Differential equations.
- Fluid mechanics.
- Topological groups.
- Lie groups.
- Differential Equations.
- Engineering Fluid Dynamics.
- Topological Groups and Lie Groups.
- Local Subjects:
- Differential Equations.
- Engineering Fluid Dynamics.
- Topological Groups and Lie Groups.
- Physical Description:
- 1 online resource (287 pages)
- Edition:
- 1st ed. 2021.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2021.
- Summary:
- 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.
- 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.
- Other Format:
- Print version: Luo, Albert C. J. Symmetries and Applications of Differential Equations
- ISBN:
- 981-16-4683-X
- OCLC:
- 1289443787
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