Darboux polynomial matrices: the classical Massive Thirring Model as\n study case

2014/11/28 by A. Degasperis, Degasperis, Antonio · 1 citation
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1411.7965

openalex publication_date 2014/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

One way of constructing explicit expressions of solutions of integrable\nsystems of Partial Differential Equations (PDEs) goes via the Darboux method.\nThis requires the construction of Darboux matrices. Here we introduce a novel\nalgorithm to obtain such matrices in polynomial form. Our method is illustrated\nby applying it to the classical Massive Thirring Model (MTM), and by combining\nit with the Dihedral group of symmetries possessed by this model.\n

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• Integrable discrete massive Thirring model

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