inviscid burgur's equation
 

hi i am looking for the analytical solution of inviscid non-linear burgur's equation
U_t+U*U_x=0

does have any initial conditions?
 

Hello,
but i think that you miss something..

where is the initial condition?

It can be solved via a Cole-Hopf transformation. Try googling on "exact solution of burger equation cole-hopf". The basic idea is that the transform carries the non-linear equation into a linear heat equation with some work that has to be done on the boundary conditions. That's all I can remember right now from when I worked it out.