@Markiyan Hirnyk Thanks for your helpful explanation.

But I have another problem related to PDE.

I used ((`@`(D, D))[1](f))(N,t)=0 for one of the bc but

I got an error.

pde.mw

I adopted the approach suggested in an earlier post (http://www.mapleprimes.com

/questions/137320-Plotting-A-System-Of-Ode) for the known results,

but some part of curve is missing.

The output I got is

restart:
with(PDEtools):with(plots):
declare(u(x,y,t)):
PDE1:=diff(u(x,y,t),t$1)+a*u(x,y,t)*diff(u(x,y,t),x$1)+diff(u(x,y,t),x$3)+

b*diff(u(x,y,t),y$2)=0;
Sol1:=pdsolve(PDE1);

Test1:=pdetest(Sol1,PDE1);

params:={a=6,b=1,_C1=1,_C2=1,_C3=1,_C4=1};

Sol2:=subs(params,Sol1);

plot3d(subs(t=1,rhs(Sol2)),x=-10..10,y=-10..10,axes=boxed,grid=[50,50],

style=patchnogrid,shading=Z,orientation=[-40,50]);

restart:with(plots):

eq := diff(f(eta), eta, eta, eta)+.11-(diff(f(eta), eta));

bc2 := f(0) = 0, (D(f))(0) = 1, (D(f))(10) = .1;

dsolve({eq,bc2}):

F1:=evalf(rhs(%));

contourplot(x*F1,x=-3..3,eta=-0.2..0.2);

I need to get the data from the above plot in a .txt file.

Thanks  

Hello every one,

I am using similarity transformation to transform a PDE into an ODE.

I got the ode but its in a very ambiguous (unclear) form.

I need help to have the ode in a more friendly reading format.

Thanks

pdetoodest.mw