General terms:
* Thanatophilia: This term literally means "love of death." While it's not often used directly, it encompasses a fascination with death, which could manifest in a poet's desire for their own demise.
* Mortal longing: This term captures the yearning for the end of life, perhaps driven by suffering, a sense of life's futility, or a desire for a different kind of existence.
* Death wish: This is a more colloquial term, often used to describe a desire for self-destruction, but can also be used to describe a longing for death in general.
More specific terms:
* Thanatosis: This term refers to a state of pretending to be dead, which could be a metaphor for a poet's desire to escape the burdens of life.
* Suicidal ideation: This term is used when a poet's desire for death is explicitly focused on suicide.
* Philosophical resignation: This term describes the acceptance of death as an inevitable part of life, which could manifest in a poet's desire for a peaceful and dignified end.
The specific term you use would depend on the context and the specific nature of the poet's desire. You could also choose to describe the desire through more poetic terms, like "a yearning for the unknown," "a longing for oblivion," or "a desire to be free from the shackles of mortality."
Ultimately, the way a poet expresses their desire on demise is as unique as the poet themselves, and the interpretation of their work is open to individual understanding.