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Annals of Mathematics and Physics

    Abstract

    Open Access Mini Review Article ID: AMP-6-171

    A remark on a perturbed Benjamin-Bona-Mahony type equation and its complete integrability

    Myroslava I Vovk, Petro Ya Pukach and Anatolij K Prykarpatski*

    In the Letter, we study a perturbed Benjamin-Bona-Mahony nonlinear equation, which was derived for describing shallow water waves and possessing a rich Lie symmetry structure. Based on the gradient-holonomic integrability checking scheme applied to this equation, we have analytically constructed its infinite hierarchy of conservation laws, derived two compatible Poisson structure and stated its complete integrability.

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    Published on: Feb 14, 2023 Pages: 21-25

    Full Text PDF Full Text HTML DOI: 10.17352/amp.000071
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