Abstract
The mathematical new plasma wave solutions are specified in the compose of trigonometric, rational, hyperbolic, periosic and explosive kinds that are realistic for MKP equation. Also, numeral studies for the acquired solutions have been reveals that periodic, shock and explosive new forms may applicable in layer of Earth's magnetotail plasma. The used method is influential and robust in comparison applications in plasma fluids. To depict the propagating soliton profiles in plasma medium, it is needful to solve MKP equation at critical densities. The Riccati-Bernoulli sub-ODE technique has been utilized to introduce some new important and applicable solutions. Number of the these MKP solutions give a leading deed in applied electron acoustics in magnetotail
Highlights
The existence of electron acoustic solitary excitations (EAs) in plasmas has been noticed in laboratories [1, 2]
Two-dimensional propagation of solitary non-linear EAs has been examined in a plasma mode using parameters related to sheet layers of plasmas of the Earth’s magnetotail [16, 17]
The new explosive shocks represent the wave motion of plasma solitons. These new exact solitonic and other solutions to the modified Kadomtsev Petviashvili (MKP) equation supply guidelines for the classification of the new types of waves according to the model parameters and can introduce the following types: (a) solitary and hyperbolic solutions, (b) periodic solutions, (c) explosive solutions, (d) rational solutions, (e) shock waves, and (f) explosive shocks
Summary
The existence of electron acoustic solitary excitations (EAs) in plasmas has been noticed in laboratories [1, 2]. The concept of EAs was generated by Fried and Gould [11] It is principally an acoustic-type of wave with inertia given by the mass of cold electrons and restoring force expressed by hot electron thermal pressure [12]. The observed BEN emission bursts in auroras and the Earth’s magnetotail regions indicate small and large amplitude electric fields with some explosive and rational domains at critical density. These wave structures appear to be prevalent in some parts of these regions [16, 17]. The RB sub-ODE method has been used as a box solver for many systems of equations arising in applied science and physics.
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