in here i want to apply this method for finding my parameter but is a special kind of substituion and i don't know how hundle this kind  and find the parameters i did some part but i didn't reach the target 

f-p-second.mw

almost i did all the case but some case i determined in red color are not satisfy what is problem of them and how i can apply the case 47-52, beside this i changed the ode in eq(15) i didn't write rho parameter  is make any problem?

ode-17.mw

 i wait 30 minute to  see the result of this function it will zero or not but is not give me outcome, is so importan for me which to see this function is my answer, how i can see the result, can  anyone give me the way 

T-pde.mw

i found the same as author found but is not give me zero when i replace in my pdes can anyone see the problem?

test.mw

i try to find the parameter in this equation but some issues show up which i am not sure i can fix that or not? there is any way for finding thus parameters?

test-F-p.mw