N = 1 Supersymmetric Nonlocal Gas Equation Prolongation Structure

The isentropic gas equations have the important applications in physics.Their supersymmetric generalizations have been paid more attention.Recently Das et al. constructed an N = 1 supersymmetric nonlocal gas equation and proved that it is a bi-Hamiltonian system.In this paper,we'll investigate the supersymmetric nonlocal gas equation in the framework of Roelofs and Hijligenberg's fermionic prolongation structure theory and present its' Lax representation.