A remark on a perturbed Benjamin-Bona-Mahony type equation and its complete integrability
<p>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 constr...
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| Main Authors: | , , |
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| Format: | Book |
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Annals of Mathematics and Physics - Peertechz Publications,
2023-02-14.
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| Online Access: | Connect to this object online. |
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| Summary: | <p>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.</p> |
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| DOI: | 10.17352/amp.000071 |