Abstract
A theoretical study of Zakharov model in subsonic limit has been investigated for plasma waves solutions via many solitary and huge structures. The electrostatic field modulations, the first integral and the rational self-focusing nonlinearly methods have been used to obtain many types of electric field, potential and density solutions in the form of bright (Dark-type) envelopes modulated wavepacket, dissipative shocks and self-focusing freak rational nonlinearly first-fourth order solutions. The results of the present investigation may be applicable to some plasma environments, such as solar-Wind and bursty Langmuir-waves that observed in cusps region.
•Nonlinear analysis techniques are used to solve the Zakharov model in subsonic limit.•The freak waves in rational form to show the self-focusing nonlinearly energy behaviors were presented.•The dynamic behavior of the presented solutions is illustrated by 2D, 3D and contour graphs.•Matlab Release 18 is used to carry out symbolic computations.•The applications of the presented results might be delightful in solar-Wind and bursty waves in cusps regions.