Combination of \dot, \tilde and \widetilde: a predefinite alternative symbol

Question

Starting from this MWE,

\documentclass[a4paper,12pt]{article}
\usepackage{amsmath,amssymb}
\usepackage{newtxtext,newtxmath}
\begin{document}
\[\tilde{\dot{u}}=-i \omega \tilde{u}\]
\[\widetilde{\dot{u}}=-i \omega \widetilde{u}\]
\end{document}

that produces this image:

reading this question, mathabx and mathtools: \widetilde{} and \dot{} problem, I was trying to understand if exists a symbol like \tilde, or \widetilde (without macro) that has more coverage than the u or another letter.

In fact, with the symbol \dot, you can see that \tilde is small and it has little coverage with the letter u. While if I use\widetilde it looks higher, than the dot, but too big in lenght.

Answer 1

Reading very good the guide pag. 15 (I obviously didn't read it very well), http://tug.ctan.org/fonts/mtp2lite/texmf/doc/fonts/mtpro2/mtpro2.pdf

there are other commands: \wwhat, \wwtilde, etc.. I'm using these two in relation to my requests of my question. I am totally satisfied and here I have inserted my MWE hoping that it will be useful to someone.

\documentclass[a4paper,12pt]{article}
\usepackage{amsmath,amssymb}
\usepackage{newtxtext}
\usepackage[lite]{mtpro2}
\begin{document}

\begin{equation}
\tilde{\dot{u}}=-i \omega \tilde{u}
\end{equation}

\begin{equation}
\widehat{\dot{u}}=-i \omega \widehat{u}
\end{equation}

\begin{equation}
\widetilde{\dot{u}}=-i \omega \widetilde{u}
\end{equation}


\begin{equation}
\wwhat{\dot{u}}=-i \omega \wwhat{u}
\end{equation}


\begin{equation}
\wwtilde{\dot{u}}=-i \omega \wwtilde{u}
\end{equation}
\end{document}