@dharr  i will try to apply for more pdes by this method, the important part is this you always do the right thing whick make the pde equal to zero your mind is magical , i will work on it to construct the best paper by this  i hope no problem come up  and i will search for suitable pde, thanks a milion times.

@dharr  with you nothing is imposible i will try to use this for a lot of pde i hope no problem came up, also i try to use for another  system  again a problem came up why coding not work with my hand? can you take a look and see the problem foor this system? is like before but i dont know what is issue 

f-2s.mw

@dharr  i try to reduce the pde to one and i change the problem and change the code base on your coding, i did my best but the outcome not give me zero and i can't find the issues

F6.mw

@dharr i am sleepy and topic is hot, already use sol1 without that subs in sol2 is again make pde zero, so we dont need that always the parameters are different some of them this is happen always and the important part is the pde be zero by that finding we did, do you think we can do this method for other pde or even the schrodinger equation  ?  do you have any idea? my idea is that for schrodinger that xi=(P+Q)*exp(i*(#)) and then remove imaginary part or finding the some condition in imaginary part or ignoring, i remember once you did this substitution for finding stability maybe we can use that for finding  ? tommorow i will try for other pde and i will try for schrodinger equation i hoe i found a treasure  in this diging 

stability

@dharr i am in rush to see it , if this is happen and work really is gonna be something really new 

@dharr let me explain a little bit more, this paper is from 2006 and i didn't see any one use this method becuase really is not easy to figure out , author explain in two way the other is too easy and i know, but this is explicity find the solution without any auxiliary equation is just substituting and finding, i am not sure this way is possible to find the solution of pde or not but  as i see you did a great job and already find thus parameter so it can be possible, i saw that  author use a different (xi) from yours i did a good explaining the maplefile too and i will put here the DOi too, also there is another question for me is come up the K[1](y) and K[2](t0 in (xi) or even in function if they be function of y like sin(y) sinh(y) or k2[t] be sin(t) the figure will be intresting, i already did the testing of all the case of odes in case needed just mention becuase in maple file i just put one subcase from 4 cases , watch equation (27) must be solution of our pdes which phi and xi are clear as i mention , but he use another  (10) i used the (1) 

paper

F3.mw

@dharr  is good idea but already i did some change variable  by that point  i get this equation maybe is not suitable like that if thus fractional  appear

@janhardo 

p1.mw

p2.mw

@janhardo  is new i didn't think which we can plot  by chosen inside  this really i liked that 

@acer  if you have a good design of plot please update file you have a good design in plotting  ...

@dharr  you need 1000 Cup thank you so much ....each time are you a door for my way like a light in the dark...

@dharr if you watch my reply  one  before last reply in eq(5.15) we have that function and at there we need 3D numerical plots i did try but i think in mine there is a mistake which i didnt use eq(5.15)  correctly and the plot is really ugly unlike yours 

and do you think i can use both of them 2D and 3D numerically  or just one of them ?

Dr.D-N.mw

@dharr  is numerical approach semi-analytical approach but why they mention exact solution... i can find exact solution and i did but i am stuck at this point how show that this numerical approach what is idea behind this what he doing how we know kenitic and potential are same and not chang ethe important part how we can show that graphically by numerical  i want add this to my article but i dont know how graphically show that it will be best and compare with what when they didn't mention exact 

numerical-exact.mw

@dharr  the code are perfect and all is set up but i am in shock when i see is not our answer even every step are correct, i have a lot paper but pde of them are a little bit complex i have another one from my friend  paper  in all paper all structure is same i did try to make it zero but again have same problem, tommorow i will look for other equations too if still don't figure out 

u-1.mw

@dharr  this topic is a little bit complex but for you must be very simpler  kind of exprence, let me show you another paper which i am in study yet and try to combine all the part to gether to get full undrestand and find the best writing program for Lie symmetry and get ode, i saw in your file for second part you found a lot of equation  but thus equation don't reach anyway becuase there is some steps missing i have to collect in all paper and somehow combine in this paper i can add  a missing steps there   maybe you can figure out also i have full paper in case you needed  i just stuck until reach ode after that it will be easy for me  the eq(13)  in this paper is so importan and in second paper  is have good explanation for finding 

paper