Since non-neutral plasmas are extraordinarily stable, readily controllable, and easily diagnosed, they are ideal for many basic plasma physics experiments.
Theoretical and experimental research of these higher-dimensional integrable generalizations has been carried out due to their attraction and application in many fields such as plasma physics, nonlinear optics, fluid dynamics, and Bose-Einstein condensates [5 8].
The Department of Nuclear Science and Engineering leads MIT's interdepartmental graduate instruction in plasma physics and many of its research applications.
Many models in celestial mechanics, plasma physics, space science and bio-engineering are in the form of a Hamilton system.
Classical low-pressure electrical discharge has been the topic of several researches in the field of plasma physics for many years [1, 2, 3].
Maccari's system is a kind of NLEEs that are often presented to describe the motion of the isolated waves, localized in a small part of space, in many fields such as hydrodynamic, plasma physics, nonlinear optic, etc.
This research discipline, generally known as electromagnetic forcing flows, is motivated by many engineering and physical applications such as plasma physics, geophysics, weather prediction and solid melting processes.
It is of particular interest that this model can be expressed in Hamiltonian form and that it shows many analogies with similar systems in plasma physics.
In particular, fractional differential equations (FDEs) containing the fractional derivative are widely used as models to express many important physical phenomena such as fluid mechanics, plasma physics, classical mechanics, quantum mechanics, nuclear physics, solid state physics, chemical kinematics, chemical physics, and so on.
There has been considerable interest in the Kadomtsev-Petviashvili (KP) equation, which arises in many physical applications including shallow water waves and plasma physics.
