Advances in Mathematical Physics

Recent Advances in Symmetry Analysis and Exact Solutions in Nonlinear Mathematical Physics


Publishing date
24 Feb 2017
Status
Published
Submission deadline
07 Oct 2016

Lead Editor

1University of Cádiz, Cádiz, Spain

2North-West University, Mafikeng Campus, Mahikeng, South Africa

3Università di Catania, Catania, Italy

4Università di Catania, Catania, Italy


Recent Advances in Symmetry Analysis and Exact Solutions in Nonlinear Mathematical Physics

Description

Partial differential equations are used to describe a wide variety of physical phenomena such as fluid dynamics, plasma physics, solid mechanics, and quantum field theory that arise in physics. Many of these equations are nonlinear and, in general, these equations are often very difficult to solve explicitly. Many systematic methods are usually employed to study the nonlinear equations: these include the generalized symmetry method, the Painlevé analysis, the inverse scattering method, the Bäcklund transformation method, the conservation law method, the Cole-Hopf transformation, and the Hirota bilinear method.

Constructing exact solutions, in particular travelling wave solutions, of nonlinear equations plays an important role in soliton theory. Several important direct methods have been developed for obtaining travelling wave solutions to nonlinear partial differential equations such as the inverse scattering method, the Tanh-function method, the extended Tanh-function method, the G/G method, the simplest method, and the modified simplest method.

We invite authors to present original research articles as well as review articles. This special issue is devoted to obtain exact solutions of nonlinear partial differential equations arising in physics.

Potential topics include, but are not limited to:

  • Methods for obtaining solutions of partial differential equations
  • Conservation Laws
  • General methods for obtaining solutions of ordinary differential equations
  • Travelling wave solutions
  • Novel applications in physics

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 8325854
  • - Editorial

Recent Advances in Symmetry Analysis and Exact Solutions in Nonlinear Mathematical Physics

Maria Bruzón | Chaudry M. Khalique | ... | Mariano Torrisi
  • Special Issue
  • - Volume 2016
  • - Article ID 5164575
  • - Research Article

The Stochastic Resonance Behaviors of a Generalized Harmonic Oscillator Subject to Multiplicative and Periodically Modulated Noises

Suchuan Zhong | Kun Wei | ... | Maokang Luo
  • Special Issue
  • - Volume 2016
  • - Article ID 7241625
  • - Research Article

The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions of -Soliton Solutions for 3 + 1 Dimensional Jimbo-Miwa Equation

Hongwei Yang | Yong Zhang | ... | Zhenhua Xu
  • Special Issue
  • - Volume 2016
  • - Article ID 4632163
  • - Research Article

Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations

Weishi Yin | Fei Xu | ... | Yixian Gao
  • Special Issue
  • - Volume 2016
  • - Article ID 8181927
  • - Research Article

An Efficient Numerical Method for the Solution of the Schrödinger Equation

Licheng Zhang | Theodore E. Simos
  • Special Issue
  • - Volume 2016
  • - Article ID 4030658
  • - Research Article

Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications

Soo Hwan Kim
  • Special Issue
  • - Volume 2016
  • - Article ID 6219251
  • - Research Article

New Periodic Solutions for a Class of Zakharov Equations

Cong Sun | Shuguan Ji
Advances in Mathematical Physics
 Journal metrics
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Acceptance rate16%
Submission to final decision138 days
Acceptance to publication22 days
CiteScore1.900
Journal Citation Indicator0.430
Impact Factor1.2
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