Nonlinear electron-acoustic rogue waves in electron-beam plasma system with non-thermal hot electrons

The new structures of stochastic solutions for the nonlinear Schrödinger’s equations

“…The instability regions are represented in presence of waves increase extremely like huge waves see. [45][46][47][48][49] The presented solutions realize very significant fact for investigation the qualitative interpretations for various phenomena in our nature. It was expected that the acquired profiles can be interpret the fundamentals of Bloch, capillary profiles, plasma physics, nonlinear optics, spatiotemporal pattern, modeling of deep water, femtosecond pulse, and switching techniques.…”

On the nonlinear new wave solutions in unstable dispersive environments

“…The periodic and shock solutions generated in stability regions. The Instability regions are characterized by the existence of waves grows very rapidly such as huge waves see [14,21,22,39,40]. This is evident in several works in which the study relied on the specific state of mathematical multiplication of coefficients [38,50] while another relied on the study of modulation instabilities [19,41,61].…”

“…Many mathematicians are able to study and explain some standing wave stabilities for Schrödinger and ralated equations such as Choquard, Hartree and its fractional form equations [15][16][17][18]. Accordinglly, the modulational instability represents exponentially the growth of wave perturbative plane wave solution and becomes very important in many science applications in a weakly dispersive and nonlinear forms [19][20][21][22]. Therefore, many studies focused on the structure of soliton and other types solutions to PDNIES [23][24][25][26][27][28][29][30][31][32][33][34][35].…”

Shock electrostatic electron acoustic wave features in four-component electron–positron plasma

“…The electron acoustic structures have many important applications in laboratory and space plasmas as solitonic and shock forms in broadband electrostatic noises (BENs). [1][2][3][4][5][6][7][8][9][10][11] Furthermore, the positron (electron) plasma emerges as a new major paradigm in the study of the solar system, pulsars, galactic nuclei, and the cosmos. [12][13][14][15][16][17][18] The positron-electron pair plasmas have published several significant publications in recent years that apply tokamak plasmas, magnetospheres, neutron stars, and active galactic nuclei.…”