Luo A.C.J., Gazizov R.K. Symmetries and Applications of Differential Equations

Springer, 2022. — 287 p.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.