Symmetries and Applications of Differential Equations: In Memory of Nail H. Ibragimov (1939-2018)

The book discusses Lie group analysis of differential equations for physical and engineering problems, including approximate symmetry, complex methods, Lie group classification, symmetry analysis, conservation laws, conservative difference schemes, Hamiltonian structure, and three-dimensional linear elasticity. It is written in memory of Professor Nail H. Ibragimov and can be used as a reference book in differential equations.

Format: Paperback / softback
Length: 279 pages
Publication date: 03 December 2022
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the realm of Lie group analysis, a powerful tool for solving differential equations in physical and engineering problems. Covering a wide range of topics, it provides a thorough understanding of the subject.

Approximate symmetry in nonlinear physical problems is explored, shedding light on the underlying patterns and structures that govern complex systems. Complex methods for Lie symmetry analysis are introduced, enabling researchers to analyze and classify Lie groups and their associated symmetries. This analysis is crucial in understanding the behavior and dynamics of systems.

Lie group classification, Symmetry analysis, and conservation laws are explored in depth, providing a solid foundation for understanding the conservation principles and the evolution of systems. Conservative difference schemes are discussed, offering efficient methods for solving differential equations and preserving the symmetry of solutions.

The Hamiltonian structure and conservation laws of three-dimensional linear elasticity are examined, offering insights into the mathematical foundations of elastic systems. Involutive systems of partial differential equations are also explored, providing a framework for studying systems of equations with complex interactions.

Written in memory of Professor Nail H. Ibragimov, a renowned expert in differential equations, this book serves as a valuable reference for students, researchers, and practitioners in mathematics, mechanical, and electrical engineering. Its comprehensive coverage and detailed explanations make it an essential resource for anyone seeking to advance their knowledge in this field.

Weight: 462g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811646850
Edition number: 1st ed. 2021