Sukhavati is a Sanskrit term for the pure land of Buddha Amitabha. It also refers to the funeral rite and practice in Shambhala, which is borrowed from Pure Land Buddhism. In that practice, prayers are offered so that the deceased may be reborn into sukhavati, which is a domain where sentient beings if born there will have good conditions for hearing and practicing dharma and will attain enlightenment in that next lifetime.
The sukhavati ceremony is detailed in the Shambhala practice manual.
According to Robert Walker, the Vidyadhara recommended just chanting the Heart Sutra for pets.