Solve first order PDEs system

Hi all

i have some troubles in solving this PDE system, i don't know which is the most effective method. I have searched a lot online but i haven't found methods that involve a system of first order equations where each one is derived in time and space. The unknowns are Tt, Pt and M, each one is a functions of x and t. All the other terms in the equations are constant.

Thank you

[darova]

They are too complicated for this community

[EldaEbrithil]

Do you know any software that can do it then?

[darova]

No, im sorry