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A Discrete Analogue of the Dirac Operator and the Discrete Modified Novikov–Veselov Hierarchy

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Publication:3053710
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DOI10.1093/imrn/rnq014zbMath1201.35166arXiv0904.3728OpenAlexW2067294718MaRDI QIDQ3053710

Dmitry V. Zakharov

Publication date: 29 October 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3728


zbMATH Keywords

Dirac operatordiscreteNovikov-Veselov hierarchy


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) General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs in connection with quantum mechanics (35Q40) Discrete version of topics in analysis (39A12)


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Weierstrass representation for discrete isotropic surfaces in \(\mathbb R^{2,1}\), \(\mathbb R^{3,1}\), and \(\mathbb R^{2,2}\) ⋮ Discretization of Liouville type nonautonomous equations preserving integrals




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