Is there a way to convert partial differential equations into systems?

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Muhammad Ali

Yes, generating systems of PDE is very well studied field, see for example http://eqworld.ipmnet.ru/en/solutions/syspde.htm

See also a list of comprehensive lecture notes: https://ocw.mit.edu/courses/mathematics/18-152-introduction-to-partial-differential-equations-fall-2011/lecture-notes/

In Matlab : https://www.mathworks.com/help/matlab/math/partial-differential-equations.html

Issam Kaddoura

Dear Karam Adel Abed

In general, the answer is No. But in some exceptional cases, and the PDE is linear, it can be reduced into a system of PDE. So, if you show your PDE, one can decide if it is convertible into a system of PDE's or not.

Best regards