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inviscid burgur's equation

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Old   August 10, 2010, 04:02
Default inviscid burgur's equation
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hi i am looking for the analytical solution of inviscid non-linear burgur's equation
U_t+U*U_x=0
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Old   August 12, 2010, 19:17
Default does have any initial conditions?
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Hello,
but i think that you miss something..

where is the initial condition?
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Old   August 13, 2010, 08:45
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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.
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