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Remarks on q-calculus and integrability

2002/08/22 by Robert Carroll, Carroll, Robert
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Algebra over a field #Algebraic structures and combinatorial models #Calculus (dental) #Differential (mechanical device) #Differential calculus #FOS: Mathematics #Integrable system #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum Algebra (math.QA) #Type (biology) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0208170

14 pages, Latex, revised, some typos and flaws corrected

openalex publication_date 2002/08/22 · arxiv created 2002/09/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Relations between differential calculi, quantum groups, integrable systems, and q-analysis are studied. Some new Hirota type formulas are established for qKP along with variations on classical Hirota formulas.

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