Overview

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods. The SDEA III, held in honour of the Centenary of Noether's Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.

Full Product Details

Author:   Victor G. Kac ,  Peter J. Olver ,  Pavel Winternitz ,  Teoman OEzer
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Volume:   266
Weight:   0.454kg
ISBN:  

9783030131760

ISBN 10:   3030131769
Pages:   199
Publication Date:   10 December 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

P. J. Olver, Normal Forms for Submanifolds under Group Actions.- M. Gurses and A. Pekcan, Integrable Nonlocal Reductions.- A. Ruiz and C. Muriel, Construction of Solvable Structures from so(3,C).- H. M. Dutt and A. Qadir, Classification of Scalar Fourth Order Ordinary Differential Equations Linearizable via Generalized Lie-Backlund Transformations.- R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the Symmetries of a Lienard Type Nonlinear Oscillator Equation.- S. V. Meleshko, Symmetries of Equations with Nonlocal Terms.- R. Naz and F. M. Mahomed, A note on the Multiplier Approach for Derivation of Conservation Laws for Partial Differential Equations in the Complex Domain.- B. Muriel, J. L. Romero and A. Ruiz, The Calculation and Use of Generalized Symmetries for Second-Order Ordinary Differential Equations.- A.Aslam, A. Qadir and M. Safdar, Differential Invariants for Two and Three Dimensional Linear Parabolic Equations.- O. K. Pashaev and A. Kocak, Kaleidoscope of Classical Vortex Images and Quantum Coherent States.

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