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math.AP2022
Characterization of Rational Solutions of a KdV-Like Equation
Brian D. Vasquez
We characterize the rational solutions to a KdV-like equation which are generated from polynomial solutions to the corresponding generalized bilinear equation. We use a particular…
math.AP2021
Matrix Bispectrality of Full Rank One Algebras
Brian D. Vasquez, Jorge P. Zubelli
We study algebraic properties of full rank 1 algebras in a general framework and derive a method to verify if one such matrix polynomial sub-algebra is bispectral. We give two exam…