How do I solve a first order PDE in matlab?

I am trying to solve a first order spatial and temporal PDE. I know how to use the PDE Modeler but that only has the second order in the spatial direction.

How do I use PDE Modeler or if it is easy to use pdepe to solve it?

I am trying to solve:

I am new to solving PDEs in matlab so any insight will be helpful

[Torsten]

What is the equation for "zeta" ?

[Pruthvi Acharya]

zeta is height, u is a speed, P is pressure, A is area

[KALYAN ACHARJYA]

Have you check here?

[Torsten]

Take the solver "hpde" from the section

"Hyperbolic PDEs"

under

http://faculty.smu.edu/shampine/current.html

[Pruthvi Acharya]

Yeah I've pretty much tried everything at this point