Abstract:
Self-adjoint commuting differential operators with polynomial coefficients are considered. These operators form a commutative subalgebra of the first Weyl algebra. New examples of commuting differential operators of rank $2$ are found.
Keywords:differential operator, first Weyl algebra, Krichever–Novikov equation, Dixmier hypothesis, nonlinear equation,
operator of nontrivial rank.
Fulltext:
PDF file (150 kB)