Alireza Jamali's Blog
Prototype: u(x,t)=f(x−vt)
g(x,t)=f(x(t0))=f(x(t)±∞∑n=1f(n)(0)n!xn)
(Taylor series)
or, Prototype: u(x,t)=f(v−at)
dn+1xdtn+1(t)=0
then
p(dnxdtn,t)=h(dnxdtn(t)±tddtdn−1xdtn−1(t)).
(Taylor approximation)
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