A unified algebraic construction of Darboux matrices with identical poles is given, including high-order pole formulas and a linear-system criterion that characterizes decomposable Darboux matrices.
A binary Darboux transformation for the Toda lattice
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The generalized Darboux matrices with the same poles and their applications
A unified algebraic construction of Darboux matrices with identical poles is given, including high-order pole formulas and a linear-system criterion that characterizes decomposable Darboux matrices.