Nonlinear pulsational mode patterns in star-forming nonthermal turbo-viscous tridust molecular clouds

A semi-analytical model theory is proposed to investigate the nonlinear pulsational mode dynamics in self-gravitating, turbo-viscous tridust plasmas composed of nonthermal electrons and ions. The approach employs multiple scaling techniques on the governing fluid equations, based on a well-defined hydrostatic, homogeneous equilibrium configuration, to derive a unique pair of extended Korteweg–de Vries (e-KdV) equations. This pair features two distinct sets of multi-parametric coefficients that govern the behavior of gravito-electrostatic (pulsational) fluctuations. A broad spectrum of solitary wave structures is obtained through numerical simulation and systematically analyzed. The study further elucidates the stabilization and destabilization characteristics of these pulsational modes under varying parametric conditions. Finally, the noticeable implications and potential applications of the outcomes in astrostructure formation mechanisms, are briefly highlighted.