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Liouville integrable binomial Hamiltonian system

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arxiv 2304.04500 v1 pith:BYJFS5A4 submitted 2023-04-10 nlin.SI hep-thmath-phmath.MP

classification nlin.SIhep-thmath-phmath.MP
keywords integrablehamiltoniansystembinomialequationsliouvillemotionconserved
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In this study we work on a novel Hamiltonian system which is Liouville integrable. In the integrable Hamiltonian model, conserved currents can be represented as Binomial polynomials in which each order corresponds to the integral of motion of the system. From a mathematical point of view, the equations of motion can be written as integrable second-order nonlinear partial differential equations in 1 + 1 dimensions.

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Cited by 1 Pith paper

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  1. Arithmetic selection rules in dispersionless Hamiltonian systems

    nlin.SI 2026-08 conditional novelty 7.0 of 10

    Liouville integrability conditions for monomial charge densities reduce to a negative Pell equation, generating an infinite set of commuting conserved charges for a new dispersionless Hamiltonian model.

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