عنوان

Symmetries, differential equations and applications :

3030013766

9783030013769

3030013758

9783030013752

Symmetries, differential equations and applications :

[Book]

SDEA-III, İstanbul, Turkey, August 2017 /

Victor G. Kac, Peter J. Olver, Pavel Winternitz, Teoman Özer, editors.

Cham, Switzerland :

Springer,

2018.

1 online resource (viii, 199 pages) :

illustrations (some color)

Springer proceedings in mathematics & statistics,

volume 266

2194-1009 ;

Intro; Preface; Contents; Normal Forms for Submanifolds Under Group Actions; 1 Introduction; 2 Plane Curves; 3 Normal Forms for Submanifolds; References; Integrable Nonlocal Reductions; 1 Introduction; 2 AKNS System; 3 Standard and Nonlocal NLS Equations; 4 Standard and Nonlocal MKdV Equations; 5 Fordy-Kulish System; 6 Nonlocal Fordy-Kulish Equations; 7 Super Integrable Systems; 8 Nonlocal Super NLS and MKdV Equations; 8.1 Super NLS Equations; 8.2 Super MKdV Systems; 9 Concluding Remarks; References; Construction of Solvable Structures from mathfrakso(3,mathbbC); 1 Introduction

2 Solvable Structures for ODEs3 Solvable Structures from mathfrakso(3,mathbbC) for Third-Order ODEs; 4 First Integrals and Parametric General Solution; 5 Examples; 5.1 Example I; 5.2 Example II; 6 Concluding Remarks; References; Classification of Scalar Fourth Order Ordinary Differential Equations Linearizable via Generalized Lie-Bäcklund Transformations; 1 Introduction; 2 Generalized Lie-Bäcklund Transformations; 2.1 Group Classification; 3 Conclusion; References; On the Symmetries of a Liénard Type Nonlinear Oscillator Equation; 1 Introduction; 2 Lie Point Symmetries of Eq.(1)

3 Methods for Solving Determining Equations3.1 Expanding Coefficients of an Admitted Generator in Taylor Series; 3.2 Using Arbitrariness of Integral Terms; 3.3 A Method of Preliminary Group Classification; 4 Symmetries of Integro-Differential Equations; 4.1 The Boltzmann Equation and Its Models; 4.2 Population Balance Equations; 4.3 Viscoelastic Materials with Memory; 4.4 Evolutionary Integro-Differential Equations Describing Nonlinear Waves; 4.5 Kinetic Equation in a Nonlinear Thermal Transport Problem; 5 Symmetries of Delay Differential Equations; 5.1 Nonlinear Klein-Gordon Equation

5.2 Delay Ordinary Differential Equations6 Applications to Stochastic Differential Equations; 6.1 Symmetries of Stochastic Fluid Dynamics Equations; 6.2 Trajectory Approach; 6.3 Linearization of Systems of Two Second-Order Equations; References; A Note on the Multiplier Approach for Derivation of Conservation Laws for Partial Differential Equations in the Complex Domain; 1 Introduction; 2 The Multiplier Approach: Complex and Real Domains; 3 Applications; 3.1 The Nonlinear Spherical KdV Equation in the Complex Domain; 3.2 The Complex Maxwellian Tails Equation

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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.--

Springer Nature

com.springer.onix.9783030013769

Symmetries, differential equations and applications.

9783030013752

SDEA-III

Lie groups, Congresses.

Computational Mathematics and Numerical Analysis.

Difference and Functional Equations.

Dynamical Systems and Ergodic Theory.

Ordinary Differential Equations.

Theoretical, Mathematical and Computational Physics.

Topological Groups, Lie Groups.

Differential calculus & equations.

Groups & group theory.

Lie groups.

Mathematical physics.

MATHEMATICS-- Algebra-- Intermediate.

Nonlinear science.

Numerical analysis.

MAT-- 002040

PBG

PBG

Kac, Victor G.,1943-

Olver, Peter J.

Özer, Teoman

Winternitz, Pavel

International Conference on Symmetries, Differential Equations and Applications(3rd :2017 :, Istanbul, Turkey)

20200823072923.0

pn

[Book]

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