Supernonlinear wave, associated analytical solitons, and sensitivity analysis in a two-component Maxwellian plasma

Abstract

This analysis investigates the occurrence of super nonlinear waves (SNWs) in a two-component electron-ion plasma containing Maxwell distributed electrons. The effect of Mach number (M) on the presence of SNWs is also discussed. Analytical findings for all conceivable dark-pitch solitons, singular solitons, associated hyperbolically, trigonometrically, and rational solitons, and super nonlinear periodic wave solutions are discussed in this study. A graphical representation of the research findings is also presented. This study successfully shows 2D- graphs to offer further insight into the physical properties of the solutions described for the various ranges of M that is, for M<1 the velocity of the wave profile will be treated as subsonic, for M>1 the velocity of the wave profile will be treated as supersonic and for M=1 the velocity of the wave profile will be treated as sonic for super nonlinear waves in two-component Maxwellian plasma. We have further demonstrated the sensitivity assessments for the altered dynamical structural system’s supersonic, subsonic, and sonic wave profiles, utilizing six unique initial conditions. That whole research justifies the appearance of SNWs in such a two-component Maxwellian plasma, which used to be formerly unidentified until about the study’s start in 2011. The new analytical findings of the different categories and sensitivity analysis for the dynamical system with supersonic, subsonic, and sonic wave profiles are new things here.