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the numerical solution to a problem involving a nonlinear partial differential equation of the form below

$u_t + uu_x + u_{3x} − u_{5x} = 0$

$u(x, 0) = f (x) , x ∈ R$

which is called Kawahara equation?

I have this adomian solution maple code to solve it but it brings me lots of error http://i.stack.imgur.com/scKdO.png

have you any idea?

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    @venna : thanks cenrtaily it would2012-09-15

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You can find the solution of Kawahara equation from the research paper http://www.sciencedirect.com/science/article/pii/S0377042709004038#

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You can find the great things in http://www.isrn.com/journals/mp/2012/185469.

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greath thanks to @venna, @doraemonpaul & @sajadi who helped me solve this, the final answer which I expected is as bellow: enter image description here

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In this way I finally could solve it, I did not want to leave this opened in here!