Bispectrality of \(N\)-component KP wave functions: a study in non-commutativity

DOI10.3842/SIGMA.2015.087zbMath1337.37054arXiv1505.02833OpenAlexW1902181128MaRDI QIDQ903684

Alex Kasman

Publication date: 15 January 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02833

zbMATH Keywords

Darboux transformationsbispectralitymulti-component KP hierarchynon-commutative solitons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General spectral theory of ordinary differential operators (34L05) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (3)

Matrix bispectrality of full rank one algebras ⋮ Noncommutative bispectral Darboux transformations ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals

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