Abstract: We considered the density and temperature gradients of an inhomogeneous quantum plasma system in the atmospheric environment, and studied the two dimensional nonlinear fluid dynamics disturbed solitary wave model in the case of low collision frequency between the ions and neutrons. By using the hyperbolic function expansion method and perturbation theory and method, we obtained the potential function of the system in the astrophysical environment and gave its physical meaning.

Key words: solitary wave, quantum, fluid dynamics