Advances in Mathematical Physics

Nonlinear Waves and Differential Equations in Applied Mathematics and Physics


Publishing date
01 Dec 2020
Status
Closed
Submission deadline
07 Aug 2020

Lead Editor

1Beijing University of Aeronautics and Astronautics, Beijing, China

2Beihang University, Beijing, China

3Beijing Municipal Institute of Labor Protection, Beijing, China

4Case Western Reserve University, Cleveland, USA

This issue is now closed for submissions.
More articles will be published in the near future.

Nonlinear Waves and Differential Equations in Applied Mathematics and Physics

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Waves exist widely in various fields of physics, such as fluids, plasmas, acoustics, optics, or electromagnetism. These phenomena can usually be described by differential equations and the corresponding solving methods are fundamentally challenging. The analytical methods and numerical techniques used to solve differential equations in mathematics have been developing rapidly, however there are still many difficulties, regardless of whether the nonlinear partial differential equations are integrable.

In addition, explaining the physical characteristics and mechanisms of waves is also critical. Different concepts, such as solitons, breathers, and rogue waves have been introduced and intensively discussed. The theory and application of nonlinear waves has attracted great interest and needs to be further studied.

This Special Issue aims to show the latest advances in nonlinear waves and differential equations, whether the results are theoretical or numerical. We welcome both original research and review articles relating to solitons, breathers, and rogue waves in continuous or discrete nonlinear systems. Interactions between different types of waves are considered valuable. Chaotic and random behaviours in nonlinear differential equations are also within the scope of the Special Issue. Mathematical tools dealing with nonlinear differential equations would also be meaningful additions.

Potential topics include but are not limited to the following:

  • Solitons, breathers, and rogue waves
  • Waves in fractional systems
  • Theoretical and experimental methods of nonlinear waves
  • Nonlinear energy sinks and nonlinear resonance in acoustics
  • Quantum computing and quantum spin waves
  • Integrable and nonintegrable differential equations
  • Chaos and fractals in nonlinear dynamical systems
  • Symbolic and numerical methods

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 4614919
  • - Research Article

The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System

Shan Yang | Zening Fan | Ruibin Ren
  • Special Issue
  • - Volume 2020
  • - Article ID 2717193
  • - Research Article

Study of Dust-Acoustic Multisoliton Interactions in Strongly Coupled Dusty Plasmas

Najah Kabalan | Mahmoud Ahmad | Ali Asad
  • Special Issue
  • - Volume 2020
  • - Article ID 1320635
  • - Research Article

Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in

Jianwen Zhou | Bianxiang Zhou | ... | Yanning Wang
  • Special Issue
  • - Volume 2020
  • - Article ID 9708649
  • - Research Article

Hidden Multistability in a Memristor-Based Cellular Neural Network

Birong Xu | Hairong Lin | Guangyi Wang
  • Special Issue
  • - Volume 2020
  • - Article ID 1289316
  • - Research Article

On Analytical Solution of a Plasma Flow over a Moving Plate under the Effect of an Applied Magnetic Field

Taha Zakaraia Abdel Wahid | Adel M. Morad
  • Special Issue
  • - Volume 2020
  • - Article ID 8323148
  • - Research Article

Fractal Ion Acoustic Waves of the Space-Time Fractional Three Dimensional KP Equation

M. A. Abdou | Saud Owyed | ... | Loubna Ouahid
  • Special Issue
  • - Volume 2020
  • - Article ID 7849035
  • - Research Article

Coherently Driven Number of Degenerate Three-Level Atoms with Parametric Amplifier

Tamirat Abebe | Chimdessa Gashu | Nebiyu Gemechu
  • Special Issue
  • - Volume 2020
  • - Article ID 3758353
  • - Research Article

Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order

Kai Fan | Cunlong Zhou
  • Special Issue
  • - Volume 2020
  • - Article ID 5017893
  • - Research Article

Torus and Subharmonic Motions of a Forced Vibration System in 1 : 5 Weak Resonance

Yong Guo
  • Special Issue
  • - Volume 2020
  • - Article ID 5809289
  • - Research Article

On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative ()-ZK Equation with Power-Law Nonlinearity

Mostafa M. A. Khater | Yu-Ming Chu | ... | Dianchen Lu
Advances in Mathematical Physics
 Journal metrics
Acceptance rate24%
Submission to final decision37 days
Acceptance to publication39 days
CiteScore1.500
Journal Citation Indicator0.550
Impact Factor1.128
 Submit

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.