H

ICs:=u(0,0) =0, D[2](u)(0,0)=1,v(0,0) =1, D[2](v)(0,0)=1,D[1](u)(0,0)=0, D[1](v)(0,0)=0. #(any ics shold be 6)

num_solution := pdsolve(sys, {ICs}, numeric);

it might the issue with ICS .. 

any valuable comments


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