Hi Freddie,
The hyperbolic tangent (tanh) function is difficult to initiate a
shock wave. The following is a matlab code and its related picture:
r=-5:0.0001:5;
aaa=1.34161*tanh(500000000*(1-tanh(500000000*(r))))+(1-0.2*1.0*1.0*exp(1-(r-4).*(r-4))).^2.5.*tanh(500000000*(1+tanh(500000000*(r)))/2);
plot(r,aaa)
A *peak value* is generated near x=0.
[image: untitled.jpg]
Yours
Wan
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