Dear Furcan, 

The topic is very interesting, there are several implementations of 
"symmetry analysis of differential equations" in software, for example, see 
Gerd Baumann "Symmetry Analysis of Differential Equations with 
Mathematica", or the project jets.math.slu.cz (I did not know about the 
book by Hans Stephani, thank you). Of course, it would be interesting to do 
similar things in SAGE, and  I could also contribute a bit to this project 
:)

Best wishes,
Mikhail 

El jueves, 11 de junio de 2020, 5:23:10 (UTC-5), Furkan Semih Dündar 
escribió:
>
> Dearl All,
>
> I recently bought the book that I studied in my PhD years. It is 
> "*Differential 
> Equations: their solution using symmetries*" by Hans Stephani. 
> https://www.amazon.com/Differential-Equations-Their-Solution-Symmetries/dp/0521355311/ref=sr_1_1?dchild=1&keywords=hans+stephani+differential+equation&qid=1591870417&sr=8-1
>
> In the book, methods to solve nonlinear ODE's or PDE's are given if the 
> differential equation has an underlying Lie group symmetry. I remember 
> using the program "Reduce" in the course. It may be useful.
>
> My aim is to incorporate the methods given in the book to Sage Math. So if 
> you are interested maybe we can form a small group to contribute to Sage in 
> this respect. I believe the ability to solve complex differential equations 
> is quite important for a symbolic math software. Please let me know if you 
> are interested.
>
> Best regards,
>
>
> -- 
> F. Semih Dündar <javascript:>
>
>

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