Is there a prayer by the name of "The Prophetic Healing Prayer" (الصلاة النبوية الشافية)? And where can its text be found?

There is no prayer in the Sharia (definition) called "Al-Salat al-Nabawiyyah al-Shafiyah" (The Prophetic Healing Prayer). However, one can fulfill a need through the prescribed "Salat al-Hajah (definition)" (Prayer of Need), in which the worshiper asks for whatever they wish for the good of this world and the Hereafter, as stated in the Hadith (definition): "Then let him ask Allah for whatever he wishes of the affairs of this world and the Hereafter, for indeed, He is capable." It is legislated to supplicate when afflicted by a tribulation, for it repels tribulation, as Allah Almighty says: "Is He [not best] who responds to the desperate one when he calls upon Him and removes evil?" (An-Naml 27:62), and "And your Lord says, 'Call upon Me; I will respond to you.'" (Ghafir 40:60). The Prophet (peace be upon him) also prescribed Ruqyah (definition) (exorcism/spiritual healing) with supplications and remembrances for the sick.