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Functional representations of integrable hierarchies

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Publication:5484426
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DOI10.1088/0305-4470/39/29/012zbMath1096.81011arXivnlin/0603018OpenAlexW3099343509MaRDI QIDQ5484426

Folkert Mueller-Hoissen, Aristophanes Dimakis

Publication date: 17 August 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0603018


Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12)


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The AKNS Hierarchy Revisited: A Vertex Operator Approach and its Lie-Algebraic Structure, “Riemann equations” in bidifferential calculus, Self-consistent sources for integrable equations via deformations of binary Darboux transformations, Quasi-symmetric functions and the KP hierarchy, New fractional nonlinear integrable Hamiltonian systems, Burgers and Kadomtsev-Petviashvili hierarchies: a functional representation approach, Bi-Hamiltonian structures for integrable systems on regular time scales, Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation, Integrable discrete systems on R and related dispersionless systems, On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation



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