Symmetries and Applications of Differential Equations : In Memory of Nail H. Ibragimov (1939-2018) (Nonlinear Physical Science) （2021）

Luo, Albert C. J. (EDT)/ Gazizov, Rafail K. (EDT)

Springer Verlag, Singapore（2021/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 279 p.
• 言語 ENG
• 商品コード 9789811646829
• DDC分類 515.35

Full Description

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.