Solving PDE; novice question

[John B. Thoo]

Hello, everyone.

I've had Octave loaded on my PowerBook for a long time (v. 2.1.73)  
and have used it *very* lightly for very simple things, mostly to  
obtain simple plots.  Now I have a good reason to upgrade Octave and  
learn to use it better: I need to solve a PDE.  Henry Mollet sent me  
instructions on upgrading to v. 3.x some time ago and I've kept those  
instructions, so I can upgrade.  (Thanks, Henry!) :-)

Now my questions.  The questions are about Octave, but please note  
that I don't have any experience with numerics or coding at all, so  
please be gentle.

1)  Can Octave be used to solve an equation like this:

  u_{tt}(x,t) - C * u_{xx}(x,t)
  = B * \int_{-infty}^{+\infty} K(x-y,y) * u(x-y,t) * u(y,t) dy,

where  B, C  are constants and  K  is some kernel.

2) If the answer is yes, then where should I look in the  
documentation (or elsewhere) to learn (in baby steps) how to solve  
such an equation eventually?  (I think one good step along the way,  
after some initial baby steps solving some baby equations, would be  
to solve the inviscid Burgers equation:

  u_t + u*u_x = 0,  u = u(x,t).)

Thanks for your help.

---John.