Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
bukhari:6092Yaḥyá b. Sulaymān > Ibn Wahb > ʿAmr > Abū al-Naḍr > Sulaymān b. Yasār > ʿĀʾishah

I never saw the Prophet ﷺ laughing to an extent that one could see his palate, but he always used to smile only.  

البخاري:٦٠٩٢حَدَّثَنَا يَحْيَى بْنُ سُلَيْمَانَ قَالَ حَدَّثَنِي ابْنُ وَهْبٍ أَخْبَرَنَا عَمْرٌو أَنَّ أَبَا النَّضْرِ حَدَّثَهُ عَنْ سُلَيْمَانَ بْنِ يَسَارٍ عَنْ عَائِشَةَ ؓ قَالَتْ

مَا رَأَيْتُ النَّبِيَّ ﷺ مُسْتَجْمِعًا قَطُّ ضَاحِكًا حَتَّى أَرَى مِنْهُ لَهَوَاتِهِ إِنَّمَا كَانَ يَتَبَسَّمُ