Abstract and Applied Analysis

Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications


Publishing date
02 May 2014
Status
Published
Submission deadline
13 Dec 2013

Lead Editor

1Department of Mathematics, University of Cadiz, Avenida Saharaui, Cádiz, 11500 Puerto Real, Spain

2Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

3International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa


Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications

Description

Differential equations govern many phenomena that happen in the nature and play an important role in the progress of engineering and technology. Essentially all the fundamental equations are nonlinear, and, in general, such nonlinear equations are often very difficult to solve explicitly. Symmetry group techniques provide methods to obtain solutions of these equations. These methods have several applications, for example, in the study of nonlinear partial differential equations, that admit conservation laws which arise in many disciplines of the applied sciences.

Recent studies show that infinitely many nonlocal symmetries of various integrable models are related to their Lax pairs. Symmetry method is one of the most powerful tools that give out new integrable models from known ones. Integrable models have played an important role in applied sciences and are one of the central topics in soliton theory. In order to know if a system is integrable, it is very important to study Lax pairs of the system.

A symmetry can be considered as an equivalence transformation which leaves invariant not only the differential structure of equation but also the form of the arbitrary elements. This fact made Ovsiannikov search for equivalence transformations in a systematic way by using an algorithm based on the extension of the Lie infinitesimal criterion. When an equation contains an arbitrary function, it reflects the individual characteristic of phenomena belonging to a large class. In this sense, the knowledge of equivalence transformations can provide us with certain relations between the solutions of different phenomena of the same class.

We invite authors to present original research articles as well as review articles. This special issue is devoted to recent advances in symmetry groups, equivalence transformations, Lax Pairs, and conservation laws for differential equations. Potential topics include, but are not limited to:

  • Advance research and theoretical analysis in group analysis and differential equations
  • The Noether symmetries, applications, and conservation laws
  • Numerical algorithms concerning the symmetry groups for partial differential equations
  • New and direct methods to obtain exact explicit solutions for differential equations

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/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/aaa/lpde/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 457145
  • - Editorial

Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications

Maria Gandarias | Mariano Torrisi | ... | Chaudry Masood Khalique
  • Special Issue
  • - Volume 2014
  • - Article ID 918927
  • - Research Article

Invariant Inhomogeneous Bianchi Type-I Cosmological Models with Electromagnetic Fields Using Lie Group Analysis in Lyra Geometry

Ahmad T. Ali
  • Special Issue
  • - Volume 2014
  • - Article ID 585167
  • - Research Article

Derivation of Conservation Laws for the Magma Equation Using the Multiplier Method: Power Law and Exponential Law for Permeability and Viscosity

N. Mindu | D. P. Mason
  • Special Issue
  • - Volume 2014
  • - Article ID 804703
  • - Research Article

Nonlinear Self-Adjoint Classification of a Burgers-KdV Family of Equations

Júlio Cesar Santos Sampaio | Igor Leite Freire
  • Special Issue
  • - Volume 2014
  • - Article ID 436417
  • - Research Article

Combinatorial Properties and Characterization of Glued Semigroups

J. I. García-García | M. A. Moreno-Frías | A. Vigneron-Tenorio
  • Special Issue
  • - Volume 2014
  • - Article ID 853578
  • - Research Article

Conservation Laws, Symmetry Reductions, and New Exact Solutions of the (2 + 1)-Dimensional Kadomtsev-Petviashvili Equation with Time-Dependent Coefficients

Li-hua Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 630282
  • - Research Article

Nonlinearly Self-Adjoint, Conservation Laws and Solutions for a Forced BBM Equation

Maria Luz Gandarias | Chaudry Masood Khalique
  • Special Issue
  • - Volume 2014
  • - Article ID 546083
  • - Research Article

Weak Equivalence Transformations for a Class of Models in Biomathematics

Igor Leite Freire | Mariano Torrisi
  • Special Issue
  • - Volume 2014
  • - Article ID 213569
  • - Research Article

Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations

Min Chen | Yiyou Wang | Yeping Li
  • Special Issue
  • - Volume 2014
  • - Article ID 175982
  • - Research Article

Q-Symmetry and Conditional Q-Symmetries for Boussinesq Equation

Hassan A. Zedan | Seham Sh. Tantawy
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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