inviscid burgur's equation

morteza08 · August 10, 2010, 05:02

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

mcaro · August 12, 2010, 20:17

Hello,
but i think that you miss something..

where is the initial condition?

agd · August 13, 2010, 09:45

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.

August 10, 2010, 05:02	inviscid burgur's equation	#1
morteza08 Senior Member Morteza Join Date: May 2010 Location: Iran,Islamic Republic of Posts: 161 Rep Power: 16	hi i am looking for the analytical solution of inviscid non-linear burgur's equation U_t+U*U_x=0

August 12, 2010, 20:17	does have any initial conditions?	#2
mcaro New Member Miguel Caro Join Date: Apr 2010 Posts: 26 Rep Power: 16	Hello, but i think that you miss something.. where is the initial condition?

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August 13, 2010, 09:45		#3
agd Senior Member Join Date: Jul 2009 Posts: 358 Rep Power: 19	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.