How does the concept of the soul differ in Buddhism from Hinduism?

Apparently in Hinduism there is a permanent "Atman"(soul) however in Buddhist it is slightly different and it is not permanent...Can someone pals explain?

Thanks in advance

An old Brahman priest asked Buddha: "What should we do [to be saved]?

The Buddha answered, "....look for another Holy One who will come and help the world and all of you in the future."

Then the Brahman priest asked, "What will the characteristics of the Holy One be like?"

The Buddha answered him, "The Holy one who will keep the world in the future will be like this: In the palm of his hands and in the flat of his feet will be the design of a disk, in his side will be a stab wound; and his forehead will have many marks like scars. The Holy One will be the golden boat who will carry you over the cycle of rebirths all the way to the highest heaven [Nirvana]. Do not look for salvation in the old way [trying to merit salvation]; there is no salvation in it for sure. Quit the old way, and there will be a new spirit like the light of a lightening bug which will come down from the sky above to live in all of your hearts, and you will be victorious over all of your enemies. Nobody will be able to destroy you. If you die, you will not come back to be born in this world again. You will go to the highest heaven [Nirvana].

Not much if anything at all because Buddhism, and Hinduism plus associated Upanishads are derived from the 4 Vedas written in Sanskrit over 3500 years old.
1. Prajnanam Brahma (Consciousness is Brahman) -in the Aitareya Upanishad of the Rig-Veda.
2. Aham Brahmasmi (I am Brahman) -in the Brahadaranyaka Upanishad of the Yaqui-Veda.
3. Tat Tvam Asi (That thou art) -in Cchandogya Upanishad of the Sama-Veda.
4. Ayam Atma Brahma (The self is Brahman) -in Mandukya Upanishad of the Atharva-Veda.

One of the 4 Veda's, dated 1500 BCE translated form Sanskrit to Tamil by Ramana Maharshi ?Tat Tvam Asi? in English is ?That Thou Art?, over 1500 years later Jesus say's, ?I and My Farther are One?. Also Luke 17-21 The kingdom of God within you.

P.S This is not a polluted western religion of which are now use for purposes of indoctrination , divide and conquer and making loads of money.
This is not a dictatorial faith, it's just about the self and spiritual awareness written over 3500 years ago.

basically Hindus believe in the Atman or soul, whereas Buddhists believe there is no soul, the karma from one life is carried to the next by the Andaman (not-soul). This is why they say rebirth whereas Hindus say reincarnation - Buddhists say there is nothing to be incarnated