Symmetries, Differential Equations and Applications [electronic resource] : SDEA-III, İstanbul, Turkey, August 2017 /
Kac, Victor G.editor.
Olver, Peter J.editor.
Winternitz, Pavel.editor.
Özer, Teoman.editor.
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.
Includes bibliographical references.
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, Classiﬁcation of Scalar Fourth Order Ordinary Diﬀerential 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 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. Koçak, Kaleidoscope of Classical Vortex Images and Quantum Coherent States. .
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.
Topological groups.
Lie groups.
Difference equations.
Functional equations.
Dynamics.
Ergodic theory.
Differential equations.
Computer mathematics.
Mathematical physics.
Topological Groups, Lie Groups.
Difference and Functional Equations.
Dynamical Systems and Ergodic Theory.
Ordinary Differential Equations.
Computational Mathematics and Numerical Analysis.
Theoretical, Mathematical and Computational Physics.