I want to check whether the solution trial_sol satisfies the following PDE by Maple:

restart:
PDE:=diff(diff(u(x,y,t),x,y)/u(x,y,t),t$2)-diff(diff(u(x,y,t),x,y)/u(x,y,t),x$2)+2*diff((u(x,y,t)^2),x,t);
trial_sol:=(x,y,t)->sqrt(r)*tan((-t*v+x+c*y) *abs(sqrt(r)/(sqrt(2*c-2*c*(v^2)))))/(sqrt(2)*sqrt(v));
pdetest(u(x,y,t)=trial_sol(x,y,t),PDE);

Maple says the trial_sol is not a solution for PDE.

But Mathematica says that it is a solution. What is the problem?