Obliquely propagating solitary structures in a heavier ion Fermi plasma

By employing quantum hydrodynamic formulation, oblique propagation of electrostatic ion waves and nonlinear structures are investigated in a magnetized dense Fermi plasma. Constituents are quantum (degenerate) electrons and non-degenerate mobile ions in presence of stationary massive ions (either positive or negative) in background. To reveal features of low frequency ion waves, where effects of Fermi degeneracy and quantum diffraction are significant, linear dispersion equation is derived by Fourier analysis of model equations. Nonlinear solitary pulse solution in low-amplitude limit is obtained via Korteweg de Vries equation. It is shown that wave dispersion due to electron Fermi pressure is important at very short wavelength regime. Effects of concentration of heavy ions and angle of propagation on wave are also studied. Results are discussed numerically with relevance of superdense plasmas mainly found in astrophysical regimes. (author)