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OverviewThis 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. Full Product DetailsAuthor: Albert C. J. Luo , Rafail K. GazizovPublisher: Springer Verlag, Singapore Imprint: Springer Verlag, Singapore Edition: 1st ed. 2021 Weight: 0.617kg ISBN: 9789811646829ISBN 10: 9811646821 Pages: 279 Publication Date: 02 December 2021 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsApproximate 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.ReviewsAuthor InformationProfessor 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. Tab Content 6Author Website:Countries AvailableAll regions |
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