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<p>In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete classification of these operators is presented in two and three components, analyzing both the cases of degenerate and non degenerate leading coefficients.</p>

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Classification of \(1+0\) Two-Dimensional Hamiltonian Operators

  • 期刊论文

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  • 发表日期：

    2025年4月29日

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  • Alessandra Rizzo

摘要

In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete classification of these operators is presented in two and three components, analyzing both the cases of degenerate and non degenerate leading coefficients.