declare(W(x, y), Z(x, y));

sys := [-A*kappa3-`∂`(`∂`(W(x, y))/`∂`(x))*(2*G-A)/`∂`(x)-2*G*(`∂`(`∂`(W(x, y))/`∂`(y))/`∂`(y)+`∂`(`∂`(Z(x, y))/`∂`(x))/`∂`(y))+A*`∂`(`∂`(Z(x, y))/`∂`(x))/`∂`(y) = 0, `∂`(`∂`(Z(x, y))/`∂`(y))*(A-4*G)/`∂`(y)+`∂`(`∂`(W(x, y))/`∂`(x))*(A-2*G)/`∂`(y)-2*G*`∂`(`∂`(Z(x, y))/`∂`(x))/`∂`(x) = 0];

I have this system of coupled PDE and I wish to solve it using Maple.

It gives me error of this kind:

pdsolve(sys, [[W(x, y)], [Z(x, y)]]);

Error, (in pdsolve/sys) found functions depending on different variables in the given DE system: [`∂`(x), `∂`(y)]

Thanks a lot for help