A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions
arXiv:2205.05107 · doi:10.1088/1751-8121/aca3dd
Abstract
We study a fully noncommutative generalisation of the commutative fourth Painlevé equation that possesses solutions in terms of an infinite Toda system over an associative unital division ring equipped by a derivation.
arXiv commentThe formula (54) was corrected. Some typos were fixed
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