  Electron Acoustic Solitary structures in Fermi Plasma with two temperature
electrons have various applications in space and laboratory-made plasma.
Formulation of an adequate theory is important to understand various physical
systems with various physical parameters. The motion of two temperature
electrons in a quantum Fermi plasma system highly affects the solitary profile
of the system. We study the quantum Fermi plasma system with two temperature
electrons where the streaming velocities of the two-electron population are
opposite. We consider the quantum hydrodynamic model (QHD) and derive a linear
dispersion relation for the system. For the non-linear study of the system, we
use the standard perturbation technique to derive KdV-B equation and show the
evolution of a solitary profile with different plasma parameters. We analyze
the stable Rouge wave structure using NLSE and show simulation results. We
study the dynamical properties and phase plot for a two-stream quantum Fermi
plasma system with two temperature electrons.
