Journal of Applied Mathematics

Symmetries, Differential Equations, and Applications: Galois Bicentenary


Publishing date
19 Apr 2013
Status
Published
Submission deadline
30 Nov 2012

1Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa

2Centre for Advanced Mathematics and Physics, National University of Sciences & Technology, Islamabad, Pakistan

3Applied Mathematics and Computation Center, Celal Bayar University, Manisa, Turkey


Symmetries, Differential Equations, and Applications: Galois Bicentenary

Description

This special issue commemorates the bicentenary of the birth of Évariste Galois who introduced the notion of a group and made fundamental contributions to the solution of polynomial equations. The formal mathematical concept of symmetry thus came from the Galois theory. Symmetry has been inaugurated and utilized in the solution of differential equations by Sophus Lie. The algebraic approach has thus become of great importance in the theory and applications of differential equations. There was recently Conference SDEA2012 on this topic held in Johannesburg during 23 to 27 January 2012 (http://www.wits.ac.za/conferences/sdea/12891/sdea2012.html).

SDEA2012 brought together researchers from all over the world to exchange ideas, share their research findings, and identify future research directions in symmetry and its manifold applications.

The special issue is not limited to the selected conference papers but also welcomes submissions from outside contributors. We invite conference participants and researchers to contribute original research articles and reviews to this special issue. Potential topics include, but are not limited to:

  • Lie approaches to perturbed and complex differential equations
  • Noether symmetries and their extensions
  • Other methods for first integrals and conservation laws
  • Linearization
  • Classification schemes
  • Invariant characterization
  • Stochastic differential equations
  • Geometrical methods
  • Computational methods
  • Symmetries of difference equations
  • Symmetries in classical mechanics, continuum mechanics, and general relativity
  • Application in finance and mathematical modeling
  • Applications in theoretical physics, cosmology, and quantum gravity

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/jam/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/jam/sdea/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 439767
  • - Editorial

Symmetries, Differential Equations, and Applications: Galois Bicentenary

Fazal M. Mahomed | Asghar Qadir | Mehmet Pakdemirli
  • Special Issue
  • - Volume 2013
  • - Article ID 868725
  • - Research Article

Affine Differential Invariants of Functions on the Plane

Yuanbin Wang | Xingwei Wang | Bin Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 147921
  • - Research Article

Second-Order Systems of ODEs Admitting Three-Dimensional Lie Algebras and Integrability

Muhammad Ayub | Masood Khan | F. M. Mahomed
  • Special Issue
  • - Volume 2013
  • - Article ID 258528
  • - Research Article

Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis

N. Mindu | D. P. Mason
  • Special Issue
  • - Volume 2013
  • - Article ID 305032
  • - Research Article

Group Classification of a Generalized Lane-Emden System

Ben Muatjetjeja | Chaudry Masood Khalique | Fazal Mahmood Mahomed
  • Special Issue
  • - Volume 2013
  • - Article ID 987327
  • - Research Article

Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin

C. Harley
  • Special Issue
  • - Volume 2013
  • - Article ID 741780
  • - Research Article

On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation

Chaudry Masood Khalique
  • Special Issue
  • - Volume 2013
  • - Article ID 181939
  • - Research Article

Numerical Investigation of the Steady State of a Driven Thin Film Equation

A. J. Hutchinson | C. Harley | E. Momoniat
  • Special Issue
  • - Volume 2013
  • - Article ID 647313
  • - Research Article

Exact Solutions and Conservation Laws of a Two-Dimensional Integrable Generalization of the Kaup-Kupershmidt Equation

Abdullahi Rashid Adem | Chaudry Masood Khalique
  • Special Issue
  • - Volume 2013
  • - Article ID 848163
  • - Research Article

A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations

A. Fatima | Muhammad Ayub | F. M. Mahomed
Journal of Applied Mathematics
 Journal metrics
Acceptance rate12%
Submission to final decision60 days
Acceptance to publication47 days
CiteScore0.530
Impact Factor-
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