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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Annals of Mathematics and Physics - Peertechz Publications,
2023-02-14.
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| LEADER | 00000 am a22000003u 4500 | ||
|---|---|---|---|
| 001 | peertech__10_17352_amp_000071 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Myroslava I Vovk |e author |
| 700 | 1 | 0 | |a Petro Ya Pukach |e author |
| 700 | 1 | 0 | |a Anatolij K Prykarpatski |e author |
| 245 | 0 | 0 | |a A remark on a perturbed Benjamin-Bona-Mahony type equation and its complete integrability |
| 260 | |b Annals of Mathematics and Physics - Peertechz Publications, |c 2023-02-14. | ||
| 520 | |a <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> | ||
| 540 | |a Copyright © Myroslava I Vovk et al. | ||
| 546 | |a en | ||
| 655 | 7 | |a Mini Review |2 local | |
| 856 | 4 | 1 | |u https://doi.org/10.17352/amp.000071 |z Connect to this object online. |