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These are replies submitted by emendes


Thank you ever so much. Your explanation shed more light on a subject that I had been away from for decades.

Would you mind sharing your thoughts on the following PDE, based on what you wrote earlier, please?

PDE:=(sin(w)*alpha*b + alpha*y)*diff(H(x, y, z, w), x) + (x + z - b*sin(w))*diff(H(x, y, z, w), y) - c*y*diff(H(x, y, z, w), z) + (d*(y - x) + Gamma*y)*diff(H(x, y, z, w), w) = 0

My attempt by hand to find H led me to a quadratic function on x, y and z and a cos(w) that is almost a solution. 

@mmcdara Sorry for a late reply but I need to go through the material you sent me.  Thank you very much.

I already have the set of ODEs that was used to build the PDE.   What I need is the expression of u(x,y,v,w), which seems impossible to obtain in this case. (But your answer helped me gain insight into another problem). 

@mmcdara Thank you very much for the thorough explanation. The actual values for the parameters are {7, 1/10, 171/20, 1/10}. I have some questions, but I don't think sending them here is appropriate since they are mostly not Maple-related. If I may, I would like to contact you directly.

@ecterrab Many thanks.  One go is just what i need.   

@nm Just to report that I am experiencing the same issue while running Maple 2024 on a Mac.

@dharr Thank you ever so much.  With a bit of work I modified your answer to my needs (a related problem but in a completely different context). Without your answer I could not find a faster way to remove what i called twins.  

@dharr and @sand15 Sorry for the late reply. Many thanks for the asnwers. I need time to test the procedures using the real lists.  

@dharr Many thanks.  Yes, you were correct. The final list aligns with the one shown in the Maple worksheet. I have updated my question to reflect this. Indeed, it always involves a sequence of positive integers related to dynamic models, as I explained to @sursumCorda. The only challenge is that I don't have the list of twins for all the elements (models) in the list initially, as that would result in a huge list. Instead, I calculate it as I progress from one element to the next.

@sursumCorda The integer numbers represent dynamic models. Models 4 and 5 are transformed into model 1 via a symmetry operation. Therefore, there is no need to include models 4 and 5 in the final list.

@C_R  Thanks.  As I said to @acer landscape helps but it is not enough.   I will try to set a custom size to see if it works. 

@acer Many thanks. Landscape helps a bit but control of sizes and widths is necessary.  

I must be really dumb, but I could not figuire how to attach mw and m files to my answer.

@acer Many thanks. Clicking on the table and changing the "Page Break" property worked; however, as you can see above, all formatting has been lost. (I will try to second part of your answer when I get the format right).

@Thomas Richard Many thanks.  I hope he/she is willing to download and install Maple player, 1.5 Gb, just to see one file. 

@C_R  This is what I have.  First figure shows the worksheet and second figure the pdf (@acer showed how to break the table but the result is pretty much what you see, that is, not good at all).


@acer Many thanks.  I am puzzled about where Tabulate came from.  

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