In order to make a numerical simulation of the chaos in standing wave lasers, a dynamic equation that is feasible to mathematical evaluation is required. There is a summation symbol in the well known Haken laser equation, and it results in a tremendously heavy quantity of evaluation. In order to simplify the evaluation, the light field in the Haken laser equation was expanded in the standing wave form. Two macroscopic variables were brought in to eliminate the summation symbol in terms of single mode and homogeneously broadening. Therefore, a simplified Maxwell-Bloch equation was gained. Then by normalizing, a new equation was obtained. This equation is in a simple form. Its every variable has unambiguous meaning and every coefficient is only related to gain or dissipation and is easy to obtain. Moreover, the equation is used in two MATLAB numerical simulations of a CO2laser and a chaotic attractor is obtained. So the equation could be a mathematical model in numerical simulations of standing wave laser chaos.