Symmetries, Differential Equations and Applications

SDEA-III, ¿stanbul, Turkey, August 2017
Softcover Nachdruck of the original 1. Auflage 2018
ISBN: 978-3-030-13176-0
Verlag: Springer International Publishing

Buch, Englisch, Band 266, 199 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 324 g

Reihe: Springer Proceedings in Mathematics & Statistics

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 andapplications 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.

Zielgruppe

Research

Autoren/Hrsg.

Kac, Victor G.

Özer, Teoman

Olver, Peter J.

Winternitz, Pavel

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

P. J. Olver, Normal Forms for Submanifolds under Group Actions.- M. Gürses 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, Classi?cation of Scalar Fourth Order Ordinary Di?erential Equations Linearizable via Generalized Lie-Bäcklund Transformations.- R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the Symmetries of a Liénard 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 Di?erential 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. Koçak, Kaleidoscopeof Classical Vortex Images and Quantum Coherent States.