Overview

These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.

Full Product Details

Author:   Lev Vasilyevich Ovsyannikov (Lavrentyev Inst Of Hydrodynamics, Russia) ,  Nail H Ibragimov (Blekinge Inst Technology, Sweden)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 16.50cm , Height: 1.80cm , Length: 23.90cm
Weight:   0.454kg
ISBN:  

9789814460811

ISBN 10:   9814460818
Pages:   156
Publication Date:   24 July 2013
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

One-Parameter Continuous Transformation Groups Admitted by Differential Equations: One-Parameter Continuous Transformation Group; Infinitesimal Operator of the Group; Invariants and Invariant Manifolds; Theory of Prolongation; Groups Admitted by Differential Equations; Lie Algebra of Operators; Lie Algebras and Local Lie Groups: Lie Algebra; Adjoint Algebra; Local Lie Group; Subgroup, Normal Subgroup and Factor Group; Inner Automorphisms of a Group and of Its Lie Algebra; Local Lie Group of Transformations; Group Invariant Solutions of Differential Equations: Invariants of R-Parameter Group; Invariant Manifolds; Invariant Solutions of Differential Equations; Classification of Invariant Solutions; Partially Invariant Solutions; Reduction of Partially Invariant Solutions; Some Problems.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions