Symmetries and applications of differential equations : in memory of Nail H. Ibragimov (1939-2018)
著者
書誌事項
Symmetries and applications of differential equations : in memory of Nail H. Ibragimov (1939-2018)
（Nonlinear physical science）
Higher education press , Springer, c2021
- :hbk.
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注記
"Jointly published with Higher Education Press"--T.p. verso
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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 Gueant and Pu Model of Option Pricing and Hedging.- On Involutive Systems of Partial Differential Equations.- Group analysis of some Camassa-Holm type equations.
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