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New Cases of Integrable Fifth-Order Systems with Dissipation

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Abstract

Integrability is shown for some classes of fifth-order dynamic systems homogeneous in variables, in which a system on the tangent bundle of two-dimensional manifolds is separated. Here, the force fields possess the dissipation of alternating signs and generalize the fields considered earlier.

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Correspondence to M. V. Shamolin.

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Translated by E. Oborin

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Shamolin, M.V. New Cases of Integrable Fifth-Order Systems with Dissipation. Dokl. Phys. 64, 189–192 (2019). https://doi.org/10.1134/S1028335819040062

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  • DOI: https://doi.org/10.1134/S1028335819040062

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