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.
Symmetries and Applications of Differential Equations
RRP:
$268.00
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.
Local Transformations and Conservation Laws.- Construction of Mappings Relating Differential Equations.- Nonlocally Related PDE Systems.- Applications of Nonlocally Related PDE Systems.- Further...
to Group Analysis of Differential Equations.- to Group Analysis and Invariant Solutions of Integro-Differential Equations.- The Boltzmann Kinetic Equation and Various Models.- Plasma Kinetic Theory:...
2 The authors of these issues involve not only mathematicians, but also speci alists in (mathematical) physics and computer sciences. So here the reader will find different points of view and...
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