how we can find the X1 and X2 in such system with high degree power 

aaaa.mw

i do same trasnformation but i don't know what is issue  the result is near to same but parameter (t) appear in my which that make my ode  not be correct so  i can't see the problem in here  and i am intrested in finding this, regarding to this i will put here my result and the papers result rregarding to resolve the issue 

pde1

pde2

T1.mw

nowday i am very intrested in this method which really i something intresting  i want to generate all the type of function not just thus in this paper  i will update the other  layers too but need sometime, i try to apply the exact layer  as author did in this paper but i did something mistake in one part about finding the parameters  i didnt fix that part but i did the second  part of the paper and i got answer, but for first one i need some help, also if possible  it will be amazing if someone can construct the all layer which can be construct , this is just two cases i provide here and in one of them i am stuck and i can't find the parameter but other i did it , target  of finding in apply the formula  for more  hiden layer  becuase in other papers i saw a lot of the  hiden layer i want to apply all of them if possible not jsut tw or three of them i want to know  and see how many hiden layer exist by constructing generate function, and the graph i am not sure maple can do that or not like fig 1 and fig 2 which if do that it will  be more amazing 

thank you for any help 

t1 have problem about  first case of layer and t2 dont have problem

How i can apply this transfromation which is special and i can't undrestand how from that solution he did thus changes  and get the solution of ode  ,  i reached untill eq(3.5) but after that i can't  figure out what he did   and how we get eq(3.7)-(3.9) (3.12),(3.13) and how we can   tranform solution  for the  eq(3.5)

fp.mw

most of time is give me true my substittuetion but  a lot time i saw it is not make my substittuetion true and this time i figure out which author did   and outcome is what i am looking but when i do that is so different where is problem 

f-m.mw