I have the system of equations\begin{align}&A  \frac{\partial u_1}{\partial t} = 1 - u_1 B \frac{\partial u_2}{\partial y}\\&\frac{\partial u_2}{\partial t} = \frac{\partial}{\partial y}\left[ e^{u_1} \frac{\partial u_2}{\partial y}\right] \enspace .\end{align}The initial condition is $u_1(y, 0) = 0$, and $u_2(y<1, 0) = 0$, $u_2(1, 0) = 1$. And the boundary conditions are $u_1(1, t)=1$, $u_2(0, t)=0$, and $u_1(1, t)=0$.Here, $A$ and $B$ are constants. The value of $A$ is 0.04 and the value of $B$ is 0.9. How can I solve these two PDEs simultaneously in COMSOL? If it is not possible in COMSOL please suggest me another software.
Solving coupled PDE in COMSOL
pde;nonlinear equations;comsol