Reflective prolate-spheroidal operators and the KP/KdV equations

DOI10.1073/pnas.1906098116zbMath1462.35330arXiv1909.01448OpenAlexW2970526505WikidataQ92913171 ScholiaQ92913171MaRDI QIDQ4964345

Milen T. Yakimov, F. Alberto Gruenbaum, Ignacio Nahuel Zurrián, W. Riley Casper

Publication date: 25 February 2021

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01448

zbMATH Keywords

reflectivityprolate-spheroidal integral operatorsrational solutions of the KdV and KP equationsWilson's adelic Grassmannian

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Grassmannians, Schubert varieties, flag manifolds (14M15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Soliton equations (35Q51)

Related Items (8)

An explanation of the commuting operator ``miracle in time and band limiting ⋮ Reflective prolate‐spheroidal operators and the adelic Grassmannian ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ Matrix valued discrete-continuous functions with the prolate spheroidal property and bispectrality ⋮ Time and band limiting for exceptional polynomials ⋮ Algebras of commuting differential operators for kernels of Airy type ⋮ On the evaluation of the eigendecomposition of the Airy integral operator ⋮ Commuting integral and differential operators and the master symmetries of the Korteweg–de Vries equation

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