Integrability properties of Motzkin polynomials

Ilmar Gahramanov; Edvard T. Musaev

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arXiv · 1706.00197

Integrability properties of Motzkin polynomials

Ilmar Gahramanov·Edvard T. Musaev

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Abstract

We consider a Hamiltonian system which has its origin in a generalization of exact renormalization group flow of matrix scalar field theory and describes a non-linear generalization of the shock-wave equation that is known to be integrable. Analyzing conserved currents of the system the letter shows, that these follow a nice pattern governed by coefficients of Motzkin polynomials, where each integral of motion corresponds to a path on a unit lattice.

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Ilmar Gahramanov, Edvard T. Musaev. 2017-12-05. Integrability properties of Motzkin polynomials. https://arxiv.org/abs/1706.00197

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