摘要：In this work, we study the coupled Burgers’ equations and the modified coupled Burgers’ equations, which including nonlinear viscous terms. The Hopf-Cole transformation method is applied to obtain the analytical solutions. The explicit finite difference schemes are used to evaluate the numerical solutions. In addition, we compare the numerical solutions with the analytical solutions for the selected initial and boundary conditions. Moreover, the behaviors of the modified coupled Burger’ equations with varied viscosity coefficients are also investigated.
