Nonlinear coherent structures of nucleus-acoustic wave excitations in multi-nuclei quantum plasmas with ultra-relativistically degenerate electrons and positrons

The propagation dynamics of the nucleus-acoustic waves (NAW) in a quantum plasma composed nondegenerate inertial light nuclei, stationary heavy and ultra-relativistically degenerate electrons positrons has been theoretically investigated within framework Boussinesq equation, which is valid for bi-directional small but finite amplitude limit. N-soliton solution equation derived using Hirota's method. It found that positive potential structures exist sonic supersonic regimes, whereas negative are to be present subsonic regime. Pertinent properties analyzed one-, two-, three-soliton solutions terms different parameters. In addition typical solitary wave solutions, our findings indicate nonlinear NAW breather structures. three- four-soliton used construct elastic interaction breather–soliton breather–breather, respectively. discussed context ultra-relativistic astrophysical plasmas.