[Tex/LaTex] Wavy/curvy arrow, with the same oscillation as a tilde

Question

I'd like to be able to use a wavy arrow, one that is a bit rounder and has a slower oscillation than rightsquigarrow: ideally one that has the exact same wave as a tilde, and ends in an arrowhead, and use it in equations in the same way as a \sim b.

Is there an easy way to do this?

Edit: leadsto from murray's answer is very close. To be even more precise – is there a way to adjoin an arrowhead to a tilde? I'll have a look at Steven's suggestions later today.

Answer 1

Using Detexify (http://detexify.kirelabs.org/classify.html), one finds the amssymb symbol \leadsto. Perhaps that's what you want.

\documentclass{article}
\usepackage{amsmath,amssymb}

\newcommand{\curly}{\mathrel{\leadsto}}

\begin{document}

$a \curly b$

\end{document}

(Comment: Is \leadsto already a math relation? I'm not sure yet.)

Another possibility is \leadsto from latexsymb.