# Project topics in Nonlinear PDEs

#### dwsmith

##### Well-known member
I have to work on a project for my nonlinear PDEs class. What are some topics that are suitable for a project in nonlinear PDEs?

Thanks.

#### mathbalarka

##### Well-known member
MHB Math Helper
I had once thought of the PDE

$$\displaystyle \frac{\partial F}{\partial x} + \frac{\partial F}{\partial y} = A(x, y)$$

for different functions at the RHS and tried to solve for F. I have got a whole lot results now regarding this one which I call "Advection-like forms". Try playing around with it a little, you'll find the jewels in this little nice-looking PDE.

PS Note that this is not non-linear but still related to some non-linear PDE's. Perhaps this may be of some use?