On the Analytical and Numerical Methods for Modeling (A)symmetrical Nonlinear Waves and Oscillations in a Plasma
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 4137
Special Issue Editors
Interests: theoretical plasma physics; theoretical physics; nonlinear waves and oscillations; differential equations; numerical analysis; modeling and simulation
Interests: solitons and compactons; N-solitons; ODE and PDE; numerical analysis; mathematical physics
Special Issues, Collections and Topics in MDPI journals
Interests: mathematical methods; nonlinear dynamics and oscillations; fractional and non-fractional differential equations; analytical and numerical methods; numerical analysis; mathematical physics
Special Issue Information
Dear Colleagues,
Different types of nonlinear equations including symmetrical and asymmetrical ordinary differential equations (ODEs), partial differential equations (PDEs), fractional differential equations, stochastic equations, integral and integrodifferential equations, etc., usually model most real-life problems, especially the propagation of symmetrical and asymmetrical nonlinear waves and oscillations in different plasma models. All the aforementioned equations are useful tools for modeling and describing the natural (a)symmetrical (non)linear phenomena that arise in different plasma models. Due to the importance of these applications, great success has been achieved by the differential and integral equations in clarifying and interpreting the ambiguity of many complex systems, which prompted many authors to look for different analytical and numerical methods for solving such models. In particular, there are a large number of differential equations such as a nonlinear Schrödinger-type equation, a family of Korteweg–de Vries-type equations, Duffing-type equations, etc., that succeeded in modeling and describing both symmetrical and asymmetrical nonlinear structures including solitary waves, shock waves, peakons, compactons, freak waves, and many nonlinear oscillations that arise in different plasma models. There is still a mystery about many symmetric and asymmetric nonlinear phenomena that arise and propagate within the plasma medium that need careful modeling in order to arrive at clear explanations for many laboratory results and satellite observations.
The main objective of this Special Issue is to attract leading researchers in the field of dynamics, quantum mechanics, astrophysics and space sciences, plasma physics, and neuroscience including theoretical physicists and applied mathematicians, and to allow them to publish their original papers in this issue after being reviewed.
Dr. Samir A. El-Tantawy
Prof. Dr. Abdul-Majid Wazwaz
Dr. Alvaro H. Salas
Guest Editors
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Keywords
- ordinary differential equations and plasma oscillations
- partial differential equations and waves in a plasma
- fractional differential equations for modeling plasma waves
- nonlinear waves (solitons, shocks, cnoidal waves, rogue waves, breathers, etc.)
- nonlinear oscillations
- the family of Korteweg–de Vries-type equation
- Burgers' equation and plasma waves
- nonlinear Schrödinger-type equation
- Helmholtz-type oscillators
- Duffing-type oscillators
- analytical and numerical methods
- modeling and simulation
- fluid equations and perturbation technique
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